This disclosure generally relates to static mixers used for the mixing of two or more fluids, as well as related static mixer components.
Known static mixers include a mixing conduit that defines a passage and a mixing element comprised of a series of mixing baffles disposed within the passage. When two or more fluids are pumped into the static mixer, the flow of fluid along and around the non-moving mixing baffles continuously blends the fluids. The flow of fluids eventually forms a relatively homogenous mixture upon exiting the static mixer. This method of mixing is very effective for viscous materials in particular, such as epoxies, acrylics, and polyurethanes.
Many variations of static mixers currently exist, including multiflux, helical, and x-lattice mixers, amongst others. In particular, mixing elements utilizing multiflux and helical designs are commonly formed from plastic and are disposable, as these designs can be injection molded to form a unitary multi-element structure. Multiflux mixing elements can statically mix two or more materials in a shorter length, with less retained waste, and with less back pressure than comparable helical mixers.
Currently, injection molded multiflux mixing elements are comprised of multiple mixing baffles connected by two or more sidewalls. The mixing baffles are generally comprised of one or more dividing panels for dividing the fluid flow, multiple deflecting panels positioned to move fluid in a direction offset from the direction of fluid flow, and one or more mixing panels for recombining the fluid flow. The sidewalls present in these mixing baffles provide structure and strength to the linked mixing baffles, thus allowing the mixing baffles to withstand elevated fluid pressures.
As fluid pressures within the static mixer increase, forces likewise increase on the mixing baffles within the passage. As a result, the mixing baffle at a position most downstream within the passage generally bears the total accumulated force exerted on the entire mixing element. Because of this, the most downstream element is the region of the static mixer most likely to fail during a mixing operation. To help prevent this, disposable multiflux mixing elements generally include sidewalls connecting the baffles to provide stability and additional support by transmitting forces from each individual baffle to the bearing surfaces of the mixer housing.
However, sidewalls present certain issues. For example, fluid trapped between a sidewall and an inner surface of the mixing conduit can exit the static mixer as unmixed streaks. Additionally, sidewalls can reduce the flow rate of fluid within a static mixer, thus impeding the mixing process. Further, the presence of sidewalls causes the static mixer to require a larger mixing conduit, thus requiring additional material to mold, which subsequently creates additional waste. Sidewalls also prevent certain baffle geometries and sizes from being molded with an injection molding process. Sidewalls function to block injection mold tooling from being able to access and core out certain desirable features and geometries. Further, sidewalls prevent small multiflux mixers from being manufactured. While helical mixing elements can be molded to have a diameter as low as 1.3 mm (0.050″), the smallest disposable multiflux mixers have a diameter that is almost four times larger. The walls of current multiflux mixing elements would occupy such a large portion of a static mixer's cross section at sizes smaller than 0.20″×0.20″ that the resulting multiflux mixer would be rendered ineffective. Additionally, any protruding teeth or ledges in the cavities of the multiflux mixing element would be too thin and fragile to withstand a fluid flow under pressure.
Therefore, there is a need for a static miser with a mixing element that does not require sidewalls.
An embodiment of the present disclosure includes a static mixer for mixing a fluid flow having at least two components. The static mixer includes a mixing conduit defining a mixing passage configured to receive the fluid flow and a mixing element received in the mixing passage and including at least two mixing baffles aligned along a longitudinal direction, where no continuous sidewalls extend between the at least two mixing baffles. Each of the at least two mixing baffles includes a first dividing panel defining a top side, a bottom side opposite the top side along a transverse direction that is perpendicular to the longitudinal direction, a first side, and a second side opposite the first side along a lateral direction that is perpendicular to the transverse and longitudinal directions. The first dividing panel also defines a first width measured from the first side to the second side along the lateral direction at a first location, and a second width measured from the first side to the second side along the lateral direction at a second location that is spaced from the first location along the longitudinal direction, where the first width is greater than the second width. Each of the at least two mixing baffles also includes a first deflecting panel extending from the top side of the first dividing panel and a second dividing panel spaced from the first dividing panel along the transverse direction. The second dividing panel defines a top side and a bottom side opposite the top side along the transverse direction, where the top side of the second dividing panel faces the bottom side of the first dividing panel. Additionally, each of the at least two mixing baffles includes a second deflecting panel extending from the bottom side of the second dividing panel and a third deflecting panel that extends from the bottom side of the first dividing panel to the top side of the second dividing panel. Further, each of the at least two mixing baffles includes a first mixing panel extending from the first and second dividing panels along the longitudinal direction and a second mixing panel extending from the first and second dividing panels along the longitudinal direction. Additionally, the fluid flow is divided into three flow portions by the first and second dividing panels and the first, second, and third deflecting panels of each of the at least two mixing baffles, and the three flow portions are combined into a mixture upon flowing past the first and second mixing panels of each of the at least two mixing baffles.
Another embodiment of the present disclosure is a static mixer for mixing a fluid flow having at least two components. The static mixer includes a mixing conduit defining a mixing passage configured to receive the fluid flow and a mixing element received in the mixing passage and including at least two mixing baffles aligned along a longitudinal direction, where no continuous sidewalls extend between the at least two mixing baffles. Each of the at least two mixing baffles includes a dividing panel including a first surface and a second surface opposite the first surface along a lateral direction that is perpendicular to the longitudinal direction, and a mixing panel connected to the dividing panel and oriented transverse to the dividing panel. The mixing panel includes a top side and a bottom side opposite the top side along a transverse direction that is perpendicular to the lateral and longitudinal directions. Each of the at least two mixing baffles also includes a first deflecting panel extending from the first surface of the dividing panel, and a second deflecting panel extending from the second surface of the dividing panel. Each of the at least two mixing baffles defines a first width measured at a first location along the lateral direction that extends from a first side that extends from the mixing panel along the transverse direction to a second side that extends from the mixing panel along the transverse direction. Each of the at least two mixing baffles further defines a second width measured from the first side to the second side along the lateral direction at a second location that is spaced from the first location along the longitudinal direction, where the first width is greater than the second width. Additionally, the fluid flow is divided into two flow portions by the dividing panel and the first and second deflecting panels of each of the at least two mixing baffles, and the two flow portions are combined into a mixture upon flowing past the mixing panel of each of the at least two mixing baffles.
A further embodiment of the present disclosure is a static mixer for mixing a fluid flow having at least two components. The static mixer includes a mixing conduit defining an inner surface and a mixing passage defined by the inner surface that is configured to receive the fluid flow, and a mixing element that is tapered along a longitudinal direction and is received in the mixing passage. The mixing element includes at least two mixing baffles aligned along the longitudinal direction, where no continuous sidewalls extend between the at least two mixing baffles. Each of the at least two mixing baffles includes at least one dividing panel and at least two deflecting panels extending from the at least one dividing panel, where the at least two deflecting panels and the at least one dividing panel are configured to divide the flow into at least two flow portions. Each of the at least two mixing baffles also includes at least one mixing panel connected to the at least one dividing panel, where the at least two flow portions are combined into a mixture upon flowing past the at least one mixing panel. Additionally, the mixing element is configured to bias against the inner surface of the mixing conduit such that force imposed on the mixing element by the fluid flow is transferred from the mixing element to the mixing conduit.
The foregoing summary, as well as the following detailed description, will be better understood when read in conjunction with the appended drawings. The drawings show illustrative embodiments of the invention. It should be understood, however, that the application is not limited to the precise arrangements and instrumentalities shown.
A static mixer 10 is disclosed that includes a mixing conduit 20 that defines a mixing passage 48. The mixing passage 48 is configured to receive a mixing element, such as the mixing element 100 or mixing element 200, where the mixing elements 100 and 200 are configured to mix two or more fluids flowing within the mixing passage 48.
Certain terminology is used to describe the static mixer 10 in the following description for convenience only and is not limiting. The words “right,” “left,” “lower,” and “upper” designate directions in the drawings to which reference is made. The words “inner” and “outer” refer to directions toward and away from, respectively, the geometric center of the description to describe the static mixer 10 and related parts thereof. The words “forward” and “rearward” refer to directions in a longitudinal direction 2 and a direction opposite the longitudinal direction 2 along the static mixer 10 and related parts thereof. The terminology includes the above-listed words, derivatives thereof, and words of similar import.
Unless otherwise specified herein, the terms “longitudinal,” “lateral,” and “transverse” are used to describe the orthogonal directional components of various components of the static mixer 10, as designated by the longitudinal direction 2, lateral direction 4, and transverse direction 6. It should be appreciated that while the longitudinal and lateral directions 2 and 4 are illustrated as extending along a horizontal plane, and the transverse direction 6 is illustrated as extending along a vertical plane, the planes that encompass the various directions may differ during use.
Embodiments of the present application include a static mixer 10 for mixing two or more fluid flows into a homogenous fluid mixture. Referring to
Continuing with
The mixing passage 48 tapers as it extends from the socket opening 26 to the outlet 44, such that the cross sectional area of the mixing passage 48 decreases as the mixing passage 48 extends away from the socket opening 26 and toward the outlet 44. As such, the mixing passage 48 defines a first width D1 that is measured from the first inner surface 38b to the second inner surface 38d along the lateral direction 4 at a first position, as well as a second width D2 that is measured from the first inner surface 38b to the second inner surface 38d along the lateral direction 4 at a second position that is spaced from the first position in the longitudinal direction 2. Because of the taper of the mixing passage 48, the first width D1 is greater than the second width D2. The mixing passage 48 also defines a first height T1 measured from the top inner surface 38a to the bottom inner surface 38c along the transverse direction 6 at a first position, as well as a second height T2 measured from the top inner surface 38a to the bottom inner surface 38c along the transverse direction 6 at a second position that is spaced from the first position in the longitudinal direction 2. Like the first and second widths D1 and D2, the taper of the mixing passage 48 causes the first height T1 to be greater than the second height T2.
Now referring to
More generally, certain ones of the mixing baffles 101 of the mixing element 100 may be grouped into separate elements. As shown in
The mixing element 100 is configured such that two or more fluids are mixed as they flow through the mixing element 100, which is configured to be disposed in the mixing passage 48 of a mixing conduit. As shown in
The mixing element 100 can define a tapered profile, such that it narrows as it extends along the longitudinal direction 2. As shown in
With respect to the height of the mixing element 100, the top and bottom of the mixing element 100 can be contained within respective planes P3 and P4 that are angled towards each other with respect to the transverse direction 6 as the planes P3 and P4 extend in the longitudinal direction 2. As a result, each mixing baffle 101 is shorter than the preceding mixing baffle 101 in the mixing element 100 (for example, second mixing baffle 101b is shorter than first mixing baffle 101a, and second mixing baffle 101b′ is shorter than second mixing baffle 101b). While the mixing element 100 is tapered such that each mixing baffle 101 is shorter than the proceeding mixing baffle 101, the mixing baffles 101 themselves can be uniformly tapered, such that the mixing baffles 101 each shorten as they extend along the longitudinal direction 2. As shown in
The tapered heights and widths of the mixing element 100, coupled with the tapered inner surface 38 of the mixing conduit 20, provide several benefits. As fluid pressure within a static mixer increases, the pressure elements of the static mixer increase in the downstream direction. By tapering the heights and widths of the mixing element 100 in the longitudinal direction 2, the top, bottom, and sides of the mixing element 100 directly contact the inner surface 38 of the mixing conduit 20, thus allowing the mixing element 100 to effectively act as a wedge within the mixing passage 48. As such, forces acting on the mixing element 100 from the flow of fluid are evenly distributed throughout the mixing element 100 and transferred to the mixing conduit 20. This allows the mixing element 100 to be formed without continuous sidewalls. The lack of continuous sidewalls provides several advantages. Due to the lack of continuous sidewalls, the mixing element 100 can be formed through injection molding with more complex geometries (as will be described below), can be produced with shorter lengths, and can be scaled down to overall smaller sizes. The removal of sidewalls further reduces an impediment to fluid flow within the mixing passage 48, and allows the mixing conduit 20 to be smaller. Additionally, the static mixer 10 can be produced using less materials overall.
The fluid flowing through the mixing element 100 is shown in a simplified schematic in
Continuing with
As described above, the first mixing baffle 101a defines a first width W1 measured at a first location from the first side 112c to the second side 112d along the lateral direction 4, and a second width W2 at a second location spaced from the first location along the longitudinal direction 2, such that the first width W1 is greater than the second width W2. As shown in
The first mixing baffle 101a also includes multiple deflecting panels. Specifically, the first mixing baffle 101a defines a first deflecting panel 118 that extends from the top side 112a of the first dividing panel 112 along the transverse direction 6, and terminates at a top side 118a. The first deflecting panel 118 defines a first side 118b, a second side 118c opposite the first side 118b along the lateral direction 4, a front side 118d, and a rear side 118e opposite the front side 118d along the longitudinal direction 2. The first deflecting panel 118 is configured to obstruct a first portion of the fluid flow along the top side 112a of the first dividing panel 112, as will be discussed further below. Additionally, the first mixing baffle 101a defines a second deflecting panel 122 that extends from the bottom side 114b of the second dividing panel 114 along the transverse direction 6, and terminates at a bottom side 122a. The second deflecting panel 122 defines a first side 122b, a second side 122c opposite the first side 122b along the lateral direction 4, a front side 122d, and a rear side 122e opposite the front side 122d along the longitudinal direction 2. The second deflecting panel 122 is configured to obstruct a second portion of the fluid flow along the bottom side 114b of the second dividing panel 114, as will be discussed further below.
Further, the first mixing baffle 101a defines a third deflecting panel 126 that extends from the bottom side 112b of the first dividing panel 112 to the top side 114a of the second dividing panel 114 along the transverse direction 6, and is configured to obstruct a third portion of the fluid flow between the first and second dividing panels 112 and 114. The third deflecting panel 126 defines a first side 126a, a second side 126b opposite the first side 126a along the lateral direction 4, a front side 126c, and a rear side 126d opposite the front side 126c along the longitudinal direction 2. The first mixing baffle 101a also includes a fourth deflecting panel 130 that extends from the bottom side 112b of the first dividing panel 112 to the top side 114a of the second dividing panel 114 along the transverse direction 6, and is configured to, along with the third deflecting panel 126, obstruct the third portion of the fluid flow between the first and second dividing panels 112 and 114. The fourth deflecting panel 130 defines a first side 130a, a second side 130b opposite the first side 130a along the lateral direction 4, a front side 130c, and a rear side 130d opposite the front side 130c along the longitudinal direction 2. The fourth deflecting panel 130 is spaced from the third deflecting panel 126 along the lateral direction 4, and is spaced from the first and second deflecting panels 118 and 122 along the transverse direction 6.
The fluid flowing through the first mixing baffle 101a is directed by these various surfaces as follows. Upon reaching the first mixing baffle 101a, fluid flowing through the mixing passage 48 is divided by the first and second dividing panels 112 and 114 into three relatively equal flows, where one portion of the fluid flow flows along the top side 112a of the first dividing panel 112, a second portion of the fluid flow flows along the bottom side 114b of the second dividing panel 114, and a third portion of the fluid flow flows between the first and second dividing panels 112 and 114. The first deflecting panel 118 is configured to partially obstruct the first portion of the fluid flow, such that the first portion of the fluid flow travels toward the space adjacent the top left side of the first dividing panel 112. The second deflecting panel 122 is configured to partially obstruct the second portion of the fluid flow, such that the second portion of the fluid flow travels toward the space adjacent the bottom right side of the second dividing panel 114. The third and fourth deflecting panels 126 and 130 are configured to partially obstruct the third portion of the fluid flow, such that the third portion of the fluid flow travels toward the space at the center of the first mixing baffle 101a, between the first and second dividing panels 112 and 114 and between the third and fourth deflecting panels 126 and 130. This flow pattern is schematically depicted in cross section B of
Continuing with
After the fluid flow has been divided and shifted by the first and second dividing panels 112 and 114, as well as the first, second, third, and fourth deflecting panels 118, 122, 126, and 130, the first and second mixing panels 134 and 138 help to shape the expansion of the first, second, and third portions of the fluid flow. Upon the first portion of the fluid flow traveling through the space adjacent the top left side of the first dividing panel 112, the first portion of the fluid flow expands along the transverse directions 6, such that the first portion of the fluid flow substantially fills an entire left third of the mixing passage 48 defined to the left of the second mixing panel 138. Additionally, upon the second portion of the fluid flow traveling through the space adjacent the bottom right side of the second dividing panel 114, the second portion of the fluid flow expands along the transverse direction 6, such that the second portion of the fluid flow substantially fills an entire right third of the mixing passage 48 defined to the right of the first mixing panel 134. Further, upon the third portion of the fluid flow traveling through the space at the center of the first mixing baffle 101a between the first and second dividing panels 112 and 114 and between the third and fourth deflecting panels 126 and 130, the third portion of the fluid flow expands along the transverse direction 6, such that the second portion of the fluid flow substantially fills a center third of the mixing passage 48 defined between the first and second mixing panels 134 and 138. Following this, the fluid flow then encounters the second mixing baffle 101b.
Now referring to
As described above, the second mixing baffle 101b defines a first width W3 measured at a first location from the first side 146c to the second side 146d of the first dividing panel 146 along the lateral direction 4, and a second width W4 measured at a second location spaced from the first location along the longitudinal direction 2, such that the first width W3 is greater than the second width W4. As shown in
The second mixing baffle 101b, like the first mixing baffle 101a, also includes multiple deflecting panels. Specifically, the second mixing baffle 101b includes a first deflecting panel 154 that extends from the top side 146a of the first dividing panel 146 along the transverse direction 6, and terminates at a top side 154a. The first deflecting panel defines a first side 154b, a second side 154c opposite the first side 154b along the lateral direction 4, a front side 154d, and a rear side 154e opposite the front side 154d along the longitudinal direction 2. The first deflecting panel 154 is configured to obstruct a first portion of the fluid flow along the top side 146a of the first dividing panel 146, as will be discussed further below. Additionally, the second mixing baffle 101b defines a second deflecting panel 158 that extends from the bottom side 150b of the second dividing panel 150 along the transverse direction 6, and terminates at a bottom side 158a. The second deflecting panel 158 defines a first side 158b, a second side 158c opposite the first side 158b along the lateral direction 4, a front side 158d, and a rear side 158e opposite the front side 158d along the longitudinal direction 2. The second deflecting panel 158 is configured to obstruct a second portion of the fluid flow along the bottom side 150b of the second dividing panel 150, as will be discussed further below.
Additionally, the second mixing baffle 101b defines a third deflecting panel 162 that extends from the bottom side 146b of the first dividing panel 146 to the top side 150a of the second dividing panel 150 along the transverse direction 6, and is configured to obstruct a third portion of the fluid flow between the first and second dividing panels 146 and 150. The second mixing baffle 101b also includes a fourth deflecting panel 166 that extends from the bottom side 150b of the second dividing panel 150 along the transverse direction 6, and terminates at a bottom side 166a. The fourth deflecting panel 166 also defines a first side 166b, a second side 166c opposite the first side 166b along the lateral direction 4, a front side 166d, and a rear side 166e opposite the front side 166d along the longitudinal direction 2. The fourth deflecting panel 166 is also configured to partially obstruct the second portion of fluid flow along the bottom side 150b of the second dividing panel 150.
The fluid flowing through the second mixing baffle 101b is directed by these various surfaces as follows. Upon reaching the second mixing baffle 101b, fluid flowing through the mixing passage 48 is already partially mixed by the first mixing baffle 101a. The fluid flow then is divided by the first and second dividing panels 146 and 150 of the second mixing baffle 101b into three relatively equal flows, where one portion of the fluid flow flows along the top side 146a of the first dividing panel 146, a second portion of the fluid flow flows along the bottom side 150b of the second dividing panel 150, and a third portion of the fluid flow flows between the first and second dividing panels 146 and 150. The first deflecting panel 154 is configured to partially obstruct the first portion of the fluid flow, such that the first portion of the fluid flow travels toward the space at the top right of the first dividing panel 146 to the right of the first deflecting panel 154. The second and fourth deflecting panels 158 and 166 are configured to partially obstruct the second portion of the fluid flow, such that the second portion of the fluid flow travels toward the space adjacent the bottom center of the second dividing panel 150, between the second and fourth deflecting panels 158 and 166. The third deflecting panel 162 is configured to partially obstruct the third portion of the fluid flow, such that the third portion of the fluid flow travels toward the space to the left of the center of the second mixing baffle 101b, between the first and second dividing panels 146 and 150. The flow pattern is schematically depicted in cross section C of
Continuing with
After the fluid flow has been divided and shifted by the first and second dividing panels 146 and 150, as well as the first, second, third, and fourth deflecting panels 154, 158, 162, and 166, the first and second mixing panels 170 and 174 help to shape the expansion of the first, second, and third portions of the fluid flow. Upon the first portion of the fluid flow traveling through the space adjacent the top right of the first dividing panel 146 to the right of the first deflecting panel 154, the first portion of the fluid flow expands along the transverse direction 6, such that the first portion of the fluid flow substantially fills an entire right third of the mixing passage 48 defined to the right of the first mixing panel 170. Additionally, upon the second portion of the fluid flow traveling through the space adjacent the bottom center of the second dividing panel 150 between the second and fourth deflecting panels 158 and 166, the second portion of the fluid flow expands along the transverse direction 6, such that the second portion of the fluid flow substantially fills an entire center third of the mixing passage 48 defined between the first and second mixing panels 170 and 174. Also, upon the third portion of the fluid flow traveling through the space to the left of the center of the second mixing baffle 101b between the first and second dividing panels 146 and 150, the third portion of the fluid flow expands along the transverse direction 6, such that the second portion of the fluid flow substantially fills a left third of the mixing passage 48 defined to the left of the second mixing panel 174.
Continuing with
As described above, the third mixing baffle 101c defines a first width W5 measured at a first location from the front side 146e along the lateral direction 4, and a second width W6 measured at a second location spaced from the first location along the longitudinal direction 2, such that the first width W5 is greater than the second width W6. As shown in
The third mixing baffle 101c, like the first and second mixing baffles 101a and 101b, also includes multiple deflecting panels. Specifically, the third mixing baffle 101c includes a first deflecting panel 186 that extends from the top side 178a of the first dividing panel 178 along the transverse direction 6, and terminates at a top side 186a. The first deflecting panel 186 defines a first side 186b, a second side 186c opposite the first side 186b along the lateral direction 4, a front side 186d, and a rear side 186e opposite the front side 186d along the longitudinal direction 2. The first deflecting panel 186 is configured to obstruct a first portion of the fluid flow along the top side 178a of the first dividing panel 178, as will be discussed further below. Additionally, the third mixing baffle 101c defines a second deflecting panel 188 that extends from the bottom side 182b of the second dividing panel 182 along the transverse direction 6, and terminates at a bottom side 188a. The second deflecting panel 188 defines a first side 188b, a second side 188c opposite the first side 188b along the lateral direction 4, a front side 188d, and a rear side 188e opposite the front side 188d along the longitudinal direction 2. The second deflecting panel 188 is configured to obstruct a second portion of the fluid flow along the bottom side 182b of the second dividing panel 182, as will be discussed further below.
Additionally, the third mixing baffle 101c defines a third deflecting panel 190 that extends from the bottom side 178b of the first dividing panel 178 to the top side 182a of the second dividing panel 182 along the transverse direction 6, and is configured to obstruct a third portion of the fluid flow between the first and second dividing panels 178 and 182. The third deflecting panel 190 defines a first side 190a, a second side 190b opposite the first side 190a along the lateral direction 4, a front side 190c, and a rear side 190d opposite the front side 190c along the longitudinal direction 2. The third mixing baffle 101c further includes a fourth deflecting panel 192 that extends from the top side 178a of the first dividing panel 178 and terminates at a top side 192a. The fourth deflecting panel 192 defines a first side 192b, a second side 192c opposite the first side 192b along the lateral direction 4, a front side 192d, and a rear side 192e opposite the front side 192d along the longitudinal direction 2. The fourth deflecting panel 192 is also configured to partially obstruct the first portion of fluid flow along the top side 178a of the first dividing panel 178.
The fluid flowing through the third mixing baffle 101c is directed by these various surfaces as follows. Upon reaching the third mixing baffle 101c, fluid flowing through the mixing passage 48 has already been partially mixed by the first and second mixing baffles 101a and 101b. The fluid flow is then divided by the first and second dividing panels 178 and 182 of the third mixing baffle 101c into three relatively equal portions, where one portion of the fluid flow flows along the top side 178a of the first dividing panel 178, a second portion of the fluid flow flows along the bottom side 182b of the second dividing panel 182, and a third portion of the fluid flow flows between the first and second dividing panels 178 and 182. The first and fourth deflecting panels 186 and 192 are configured to partially obstruct the first portion of the fluid flow, such that the first portion of the fluid flow travels toward the space at the top center of the first dividing panel 178. The second deflecting panel 188 is configured to partially obstruct the second portion of the fluid flow, such that the second portion of the fluid flow travels toward the space adjacent the bottom left side of the second dividing panel 182 to the left of the second deflecting panel 188. The third deflecting panel 190 is configured to partially obstruct the third portion of the fluid flow, such that the third portion of the fluid flow travels toward the space to the right of the center of the third mixing baffle 101c, between the first and second dividing panels 178 and 182. This flow pattern is schematically depicted in cross section D of
Continuing with
After the fluid flow has been divided and shifted by the first and second dividing panels 178 and 182, as well as the first, second, third, and fourth deflecting panels 186, 188, 190, and 192, the first and second mixing panels 196 and 198 help to shape the expansion of the first, second, and third portions of the fluid flow. Upon the first portion of the fluid flow traveling through the space adjacent the top center of the first dividing panel 178, the first portion of the fluid flow expands along the transverse direction 6, such that the first portion of the fluid flow substantially fills an entire center third of the mixing passage 48 defined between the first mixing panel 196 and the second mixing panel 198. Additionally, upon the second portion of the fluid flow traveling through the space adjacent the bottom left of the second dividing panel 182, the second portion of the fluid flow expands along the transverse direction 6, such that the second portion of the fluid flow substantially fills an entire left third of the mixing passage 48 defined to the left of the second mixing panel 198. Also, upon the third portion of the fluid flow traveling through the space to the right of the center of the third mixing baffle 101c, the third portion of the fluid flow expands along the transverse direction 6, such that the third portion of the fluid flow substantially fills a right third of the mixing passage 48 defined to the right of the first mixing panel 196.
Now referring to
The mixing element 200 may be divided into mixing baffle pairs 202-210, where each of the mixing baffle pairs 202-210 includes a respective left mixing baffle (one of left mixing baffles 202a-210a) and a respective right mixing baffle (one of right mixing baffles 202b-210b). For example, mixing baffle pair 202 includes left mixing baffle 202a and right mixing baffle 202b. The mixing baffles 203 are generally referred to as “double wedge” mixing baffles as a result of the various flow occluding surfaces described in further detail below. The mixing element 200 is configured such that two or more fluids are mixed as they flow through the mixing element 200, which, like the mixing element 100, can be disposed in the mixing passage 48 of a mixing conduit 20. As shown in
Though the mixing element 200 is depicted as including one leading element 201 and nine each of the left mixing baffles 202a-210a and right mixing baffles 202b-210b, any number of leading elements 201, left mixing baffles 202a-210a, and right mixing baffles 202b-210b can be used as desired. Further, the arrangement of mixing baffles 202-210 can be reorganized or modified from that shown without departing from the scope of this disclosure.
Like the mixing element 100, the mixing element 200 defines a tapered profile, such that it narrows as it extends along the longitudinal direction 2. As shown in
With respect to the height of the mixing element 200, the top and bottom of the mixing element 200 can be contained within respective plains P7 and P8 that are angled towards each other with respect to the transverse direction 6 as the planes P7 and P8 extend in the longitudinal direction 2. As a result, each mixing baffle 203 is shorter than the preceding mixing baffle 203 in the mixing element 200 (for example, right mixing baffle 202b is shorter than left mixing baffle 202a). While the mixing element 200 is tapered such that each mixing baffle is shorter than the preceding mixing baffle, the mixing baffles 203 themselves can be uniformly tapered, such that the mixing baffles 203 shorten as they extend along the longitudinal direction 2. As shown in
Like the mixing element 100, the tapered heights and widths of the mixing element 200, coupled with the tapered inner surface 38 of the mixing conduit 20, provides several benefits. As fluid pressure within a static mixer increases, the pressure elements of the static mixer increase in the downstream direction. By tapering the heights and widths of the mixing element 200 in the longitudinal direction 2, the top, bottom, and sides of the mixing element 200 directly contact the inner surface 38 of the mixing conduit 20, thus allowing the mixing element 200 to effectively act as a wedge within the mixing passage 48. As such, forces acting on the mixing element 200 are evenly distributed throughout the mixing element 200 and transferred to the mixing conduit 20. This allows the mixing element 200 to be formed without continuous sidewalls. The lack of continuous sidewalls provides several advantages. Due to the lack of continuous sidewalls, the mixing element 200 can be scaled down to overall smaller sizes, which can be formed through injection molding. The removal of sidewalls further reduces an impediment to fluid flow within the mixing passage 48, and allows the mixing conduit 20 to be smaller. Additionally, the static mixer 10 can be produced using less materials overall.
The fluid flowing through the mixing element 200 is shown in a simplified schematic in
Now referring to
The fluid flowing through the mixing element 200 is first divided by the leading element 201, specifically the first dividing panel 220 and the second dividing panel 250. The first deflecting surface 222 of the first dividing panel 220 is configured to direct fluid left towards an upper left quadrant of the leading element 201, so that fluid travels toward the space adjacent the top surface 204a of the connecting panel 204. Similarly, the first deflecting surface 252 of the second dividing panel 250 is configured to direct fluid right towards a lower right quadrant of the leading element 201, so that fluid travels toward the space adjacent the bottom surface 204b of the connecting panel 204. Due to the dimensions of the leading element 201, fluid may also be allowed to flow between the top surface 232 of the first dividing panel 220 and the top inner surface 38a of the mixing conduit 20, as well as between the bottom surface 260 of the second dividing panel 250 and the bottom inner surface 38c of the mixing conduit 20, while being prevented from flowing between the first side surface 224 of the first dividing panel 220 and the second inner surface 38d of the mixing conduit 20, as well as between the second side surface 256 of the second dividing panel 250 and the first inner surface 38b of the mixing conduit 20. However, in alternative embodiments, fluid may be permitted to flow between the first side surface 224 of the first dividing panel 220 and the second inner surface 38d of the mixing conduit 20, as well as between the second side surface 256 of the second dividing panel 250 and the first inner surface 38b of the mixing conduit 20. The flow across the leading element 201 is shown schematically in cross section A (
After being shifted or compressed towards the lower right or upper left quadrants, the fluid flow begins to expand laterally to fill substantially all of the space in the mixing passage 48 once again. To enable this flow expansion, the back half (in the longitudinal direction 2 or flow direction F) of the leading element 201 includes additional deflecting surfaces. In particular, the first dividing panel 220 defines a second deflecting surface 228, while the second dividing panel 250 defines a second deflecting surface 258. Advantageously, both of the second deflecting surface 228 and 258 include multiple planar “wedge surfaces” oriented at different angles relative to the fluid flow. Each of the wedge surfaces of the second deflecting surfaces 228 and 258 may mirror each other in this embodiment to make the leading element 201 largely symmetrical. The second deflecting surface 228 of the first dividing panel 220 defines a first planar surface 228a extending adjacent the center of the connecting panel 204 and a second planar surface 228b that extends to the right of the first planar surface 228a from the first planar surface 228a to the first side surface 224. The second planar surface 228b can be oriented at a sharper angle to the fluid flow than the first planar surface 228a. Likewise, the second deflecting surface 258 of the second dividing panel 250 defines a first planar surface 258a extending adjacent the center of the connecting panel 204 and a second planar surface 258b that extends to the left of the first planar surface 258a from the first planar surface 258a to the second side surface 256. Additionally, the second planar surface 258b can be oriented at a sharper angle to the fluid flow than the first planar surface 258a. It will be understood that the first and second deflecting surfaces 222 and 228 are formed on opposing faces of the first dividing panel 220 along the longitudinal direction 2, specifically in an upper right quadrant of the leading element 201. Likewise, the first and second deflecting surfaces 252 and 258 are formed on opposing faces of the second dividing panel 250 along the longitudinal direction 2, specifically in a lower left quadrant of the leading element 201. The first dividing panel 220, second dividing panel 250, and the connecting panel 204 can be integrally formed as a unitary member, such as by injection molding a plastic material, as understood in the art.
The expansion of the fluid flow above and below the connecting panel 204 occurs as follows. The fluid flow that has been shifted into the upper left quadrant begins to flow along the first planar surface 228a of the first dividing panel 220, and then the second planar surface 228b of the first dividing panel 220. This movement causes the flow to shift or expand to fill substantially an entire upper portion of the mixing passage 48 defined above the top surface 204a of the connecting panel 204. In a similar manner, the fluid flow that has been shifted into the lower right quadrant begins to flow along the first planar surface 258a of the second dividing panel 250, and then along the second planar surface 258b of the second dividing panel. This movement causes the flow to shift or expand to fill substantially an entire lower portion of the mixing passage 48 defined below the bottom surface 204b of the connecting panel 204. The divided flows are then ready to be recombined a trailing edge of the leading element 201, which is defined by a first trailing edge 238 of a first hook section 236 and a second trailing edge 264 of a second hook section 262. This recombination is generally not a complete recombination, as the fluid moving past the first and second trailing edges 238 and 264 is generally already flowing past a leading edge of a mixing element that further defines the fluid flow in a different direction (e.g., the left mixing baffle 202a).
Continuing with
The left mixing baffle 202a further includes first and second deflecting surfaces 332 and 334 projecting or extending outwardly in opposite directions from the dividing panel 304. The first and second deflecting surfaces 332 and 334 may also be referred to as first and second deflecting panels, respectively. In particular, the first deflecting surface 332 extends from the left side 314 of the dividing panel 304 to a first side 338 of the left mixing baffle 202a along the lateral direction 4, and the second deflecting surface 334 extends from the right side 316 of the dividing panel 304 to a second side 340 of the left mixing baffle 202a along the lateral direction 4. The first and second sides 338 and 340 of the left mixing baffle 202a are configured to engage the inner surface 38 of the mixing conduit 20, as will be described further below. Further, the first and second sides 338 and 340 of the left mixing baffle 202a are configured to be completely spaced from an entirety of the first and second sides of the leading element 201 and each of the other mixing baffles 203, due to the mixing element's 200 lack of a continuous sidewall. Each of the first and second deflecting surfaces 332 and 334 includes multiple planar surfaces (also referred to as “wedge surfaces”) oriented at different angles relative to the fluid flow through the left mixing baffle 202a. For example, the first deflecting surface 332 includes a first planar surface 342 adjacent to the center of the dividing panel 304 and a second planar surface 344 located above the first planar surface 342 along the transverse direction 6. The second planar surface 344 can be oriented at a sharper angle to the fluid flow than the first planar surface 342. In other embodiments, the first and second planar surfaces 342 and 344 may be oriented at the same angle to the fluid flow. Likewise, the second deflecting surface 334 that extends from the right side 316 of the dividing panel 304 includes a first planar surface 346 extending adjacent to the center of the dividing panel 304 and a second planar surface 348 located below the first planar surface 346 along the transverse direction 6. The second planar surface 348 can be oriented at a sharper angle to the fluid flow than the first planar surface 346. In other embodiments, the first and second planar surface 346 and 348 may be oriented at the same angle to the fluid flow.
The fluid flowing through the left mixing baffle 202a is directed by these various surfaces as follows. First, the fluid flow encountering the mixing baffle 202a is divided by the dividing panel 304 into relatively equal flows, where one flows along the left side 314 of the dividing panel 304, while the other flows along the right side 316 of the dividing panel 304. The first deflecting surface 332 is configured to direct fluid that is flowing along the left side 314 of the dividing panel 304 downwardly toward the lower left quadrant of the left mixing baffle 202a, so that fluid travels toward the space adjacent the bottom side 330 of the mixing panel 306. As such, the fluid flow at the top of the left side 314 of the dividing panel 304 is first deflected downwardly by the second planar surface 344 of the first deflecting surface 332. Then, the fluid flow continues to follow along the first planar surface 342 of the first deflecting surface 332 during continued deflection towards the lower left quadrant of the left mixing baffle 202a, thus effectively compressing the fluid flow.
The flow on the opposite side of the left mixing baffle 202a is similarly diverted using the mirror image structure defined by the second deflecting surface 334 adjacent the right side 316 of the dividing panel 304. In this regard, the second deflecting surface 334 is configured to direct fluid that is flowing along the right side 316 of the dividing panel 304 upwardly toward the upper right quadrant of the left mixing baffle 202a, so that fluid travels toward the space adjacent the top side 328 of the mixing panel 306. To this end, the fluid flow at the bottom of the right side 316 of the dividing panel 304 is first deflected upwardly by the second planar surface 348, and then the fluid flow continues to follow along the first planar surface 346 during continued deflection towards the upper right quadrant of the left mixing baffle 202a. The “compressed” flow is shown schematically in cross section B (
After being shifted or compressed towards the lower left and upper right quadrants, the fluid flow begins to expand laterally it fill substantially all of the space in the mixing passage 48 once again. To enable this flow expansion, the back half (in the longitudinal direction 2 or flow direction F) of the left mixing baffle 202a includes similar structures as those described above for the front half. More particularly, the left mixing baffle 202a further includes third and fourth deflecting surfaces 352 and 354 projecting or extending outwardly in opposite directions from the mixing panel 306 towards the top and bottom of the mixing passage 48 (when located in the mixing conduit 20). Specifically, the third deflecting surface 352 extends between the mixing panel 306 and a top surface 366 of the left mixing baffle 202a, while the fourth deflecting surface 354 extends between the mixing panel 306 and a bottom surface 368 of the left mixing baffle 202a. The top and bottom surfaces 366 and 368 of the left mixing baffle 202a are configured to engage the inner surface 38 of the mixing conduit 20, and are spaced from an entirety of the top surfaces of the leading element 201 and the other mixing baffles 203 due to the lack of a continuous sidewall.
Advantageously, each of the third and fourth deflecting surfaces 352 and 354 includes multiple planar “wedge surfaces” oriented at different angles relative to the fluid flow, just like the first and second deflecting surfaces 332 and 334, as described above. Each of the wedge surfaces of the third and fourth deflecting surfaces 352 and 354 can mirror one another in this embodiment to make the left mixing baffle 202a largely symmetrical. The third deflecting surface 352 on the top side 328 of the mixing panel 306 includes a first planar surface 356 extending adjacent the center of the mixing panel 306 and a second planar surface 358 located to the left of the first planar surface 356, where the second planar surface 358 can be oriented at a sharper angle to the fluid flow than the first planar surface 356. Likewise, the fourth deflecting surface 354 on the bottom side 330 of the mixing panel 306 includes a first planar surface 360 extending adjacent the center of the mixing panel 306 and a second planar surface 362 located to the right of the first planar surface 360, where the second planar surface 362 is oriented at a sharper angle to the fluid flow than the first planar surface 360. It will be understood that the first and third deflecting surface 332 and 352 are formed on opposing faces of the left mixing baffle 202a along the longitudinal direction 2, specifically in an upper left quadrant of the left mixing baffle 202a. Likewise, the second and fourth deflecting surfaces 334 and 354 are formed on opposing faces of the left mixing baffle 202a along the longitudinal direction 2, specifically in a lower right quadrant of the left mixing baffle 202a. The dividing panel 304, the mixing panel 306, and the first, second, third, and fourth deflecting surfaces 332, 334, 352, and 354, can be integrally formed as a unitary member, such as by injection molding a plastic material, as understood in the art.
Thus, the expansion of the fluid flow above and below the mixing panel 306 occurs in a similar manner as the flow shifting or contraction next to the dividing panel 304, but in reverse. The fluid flow that has been shifted into the upper right quadrant begins to flow along the first planar surface 356 of the third deflecting surface 352 and then the second planar surface 358 of the third deflecting surface 352. This movement causes the flow to shift or expand to fill substantially an entire upper portion of the mixing passage 48 defined above the top side 328 of the mixing panel 306. In a similar manner, the fluid flow that has been shifted into the lower left quadrant begins to flow along the first planar surface 360 of the fourth deflecting surface 354 and then along the second planar surface 362 of the fourth deflecting surface 354. This movement causes the flow to shift or expand to fill substantially the entire lower portion of the mixing passage 48 defined by the bottom side 330 of the mixing panel 306. The divided flows are then ready to be recombined at the trailing edge 320 defined by the first and second hook sections 324 and 326 of the mixing panel 306. This recombination is generally not a complete recombination, as the fluid flow moving past the trailing edge 320 of the left mixing baffle 202a is generally already flowing past a leading edge on another mixing element that further defines the fluid flow in a different direction (e.g., the right mixing baffle 202b).
The shifting and dividing movement of the fluid flow caused by flow around the left-handed mixing baffle 202a is capable of doubling the number of layers of two fluids originally presented in layers before entry at the leading edge 308 of the left mixing baffle 202a. Of course, it will be understood that the actual flow is likely more mixed together (e.g., the mixing is optimized) as a result of flowing over the differently angled surfaces on the first, second, third, and fourth deflecting surfaces 332, 334, 352, and 354 and as a result of flowing over the various hook sections 310, 312, 324, and 326. In any event, the flow of two or more fluids making up the fluid flow are mixed by flowing through the mixing baffles 203 when inserted into the mixing passage 48 of the mixing conduit 20.
As briefly described above, the right mixing baffle 202b shown in
The right mixing baffle 202b further includes first and second deflecting surfaces 432 and 434 that project or extend outwardly in opposite directions from the dividing panel 404. The first and second deflecting surfaces 432 and 434 may also be referred to as first and second deflecting panels, respectively. In particular, the first deflecting surface 432 extends from the left side 414 of the dividing panel 404 to a first side 438 of the right mixing baffle 202b along the lateral direction 4, and the second deflecting surface 434 extends from the right side 416 of the dividing panel 404 to a second side 440 of the right mixing baffle 202b along the lateral direction 4. The first and second sides 438 and 440 of the right mixing baffle 202b are configured to engage the inner surface are configured to engage the inner surface 38 of the mixing conduit 20. Further, the first and second side 438 and 440 of the right mixing baffle 202b, due to the lack of a continuous sidewall, are spaced in an entirety from the first and second sides of the leading element 201 and the other mixing baffles 203. Each of the first and second deflecting surfaces 432 and 434 includes multiple planar surfaces (also referred to as “wedge surfaces”) oriented at different angles relative to the fluid flow through the right mixing baffle 202b. For example, the first deflecting surface 432 includes a first planar surface 442 adjacent to the center of the dividing panel 404 and a second planar surface 444 located below the first planar surface 442 along the transverse direction 6. The second planar surface 444 can be oriented at a sharper angle to the fluid flow than the first planar surface 442. In other embodiments, the first and second planar surface 442 and 444 may be oriented at the same angle to the fluid flow. Likewise, the second deflecting surface 434 that extends from the right side 416 of the dividing panel 404 includes a first planar surface 446 extending adjacent to the center of the dividing panel 404 and a second planar surface 448 located above the first planar surface 446 along the transverse direction 6. The second planar surface 448 can be oriented at a sharper angle to the fluid flow than the first planar surface 446. In other embodiments, the first and second planar surfaces 446 and 448 may be oriented at the same angle to the fluid flow.
The fluid flowing through the right mixing baffle 202b is directed by these various surfaces as follows. As noted above, the fluid flowing through the mixing passage 48 has already been divided and recombined by the left mixing baffle 202a. Upon reaching the right mixing baffle 202b, the fluid flow is divided by the dividing panel 404 into relatively equal flows, where one flows along the left side 414 of the dividing panel 404, while the other flows along the right side 416 of the dividing panel 404. The first deflecting surface 432 is configured to direct fluid that is flowing along the left side 414 of the dividing panel 404 upwardly toward the upper left quadrant of the left mixing baffle 202a, so that fluid travels toward the space adjacent the top side 428 of the mixing panel 406. As such, the fluid flow at the top of the left side of the dividing panel 404 is first deflected upwardly by the second planar surface 444 of the first deflecting surface 432. Then, the fluid flow continues to follow along the first planar surface 442 of the first deflecting surface 432 during continued deflection toward the upper left quadrant of the right mixing baffle 202b, thus effectively compressing the fluid flow.
The flow on the opposite side of the right mixing baffle 202b is similarly diverted using the mirror image structure defined by the second deflecting surface 434 adjacent the right side 416 of the dividing panel 404. In this regard, the second deflecting surface 434 is configured to direct fluid that is flowing along the right side 416 of the dividing panel 404 downwardly toward the lower right quadrant of the right mixing baffle 202b, so that fluid flows toward the space adjacent the bottom side 430 of the mixing panel 406. To this end, the fluid flow at the top of the right side 416 of the dividing panel 404 is first deflected downwardly by the second planar surface 448, and then the fluid flow continues to follow along the first planar surface 446 during continued deflection towards the lower right quadrant of the right mixing baffle 202b. The “compressed” flow is shown schematically in cross section C (
After being shifted or compressed towards the upper left and lower right quadrants, the fluid flow begins to expand laterally to fill substantially all of the space in the mixing passage 48 once again. To enable this flow expansion, the back half (in the longitudinal direction 2 or flow direction F) of the right mixing baffle 202b includes similar structures as those described above for the front half. More particularly, the right mixing baffle 202b further includes third and fourth deflecting surfaces 452 and 454 projecting or extending outwardly in opposite directions from the mixing panel 406 towards the top and bottom of the mixing passage 48 (when located in the mixing conduit 20). Specifically, the third deflecting surface 452 extends between the mixing panel 406 and a bottom surface 468 of the right mixing baffle 202b, while the fourth deflecting surface 454 extends between the mixing panel 406 and a top surface 466 of the right mixing baffle 202b. The top and bottom surfaces 466 and 468 of the right mixing baffle 202b are configured to engage the inner surface 38 of the mixing conduit 20. Also, due to the lack of continuous sidewalls, the top and bottom surfaces 466 and 468 are spaced in an entirety from the top and bottom surfaces of the leading element 201 and the other mixing baffles 203.
Advantageously, each of the third and fourth deflecting surfaces 452 and 454 includes multiple planar “wedge surfaces” oriented at different angles relative to the fluid flow, just like the first and second deflecting surfaces 432 and 434, as described above. Each of the wedge surfaces of the third and fourth deflecting surfaces 452 and 454 can mirror one another in this embodiment to make the right mixing baffle 202b largely symmetrical. The third deflecting surface 452 on the bottom side 430 of the mixing panel 406 includes a first planar surface 456 adjacent the center of the mixing panel 406 and a second planar surface 458 located to the left of the first planar surface 456, where the second planar surface 458 can be oriented at a sharper angle to the fluid flow than the first planar surface 456. Likewise, the fourth deflecting surface 454 on the top side 428 of the mixing panel 406 includes a first planar surface 460 extending adjacent the center of the mixing panel 406 and a second planar surface 462 located to the right of the first planar surface 460, where the second planar surface 462 is oriented at a sharper angle to the fluid flow than the first planar surface 460. It will be understood that the first and third deflecting surfaces 432 and 452 are formed on opposing faces of the right mixing baffle 202b along the longitudinal direction 2, specifically in a lower left quadrant of the right mixing baffle 202b. Likewise, the second and fourth deflecting surface 434 and 454 are formed on opposing faces of the right mixing baffle 202b along the longitudinal direction 2, specifically in an upper right quadrant of the right mixing baffle 202b. The dividing panel 404 and the mixing panel 406, as well as the first, second, third, and fourth deflecting surfaces 432, 434, 452, and 454 can be integrally formed as a unitary member, such as by injection molding a plastic material, as understood in the art.
Thus, the expansion of the fluid flow above and below the mixing panel 406 occurs in a similar manner as the flow shifting or contraction next to the dividing panel 404, but in reverse. The fluid flow that has been shifted into the lower right quadrant begins to flow along the first planar surface 456 of the third deflecting surface 452 and then the second planar surface 458 of the third deflecting surface 452. This movement causes the flow to shift or expand to fill substantially an entire lower portion of the mixing passage 48 defined below the bottom side 430 of the mixing panel 406. In a similar manner, the fluid flow that has been shifted into upper left quadrant begins to flow along the first planar surface 460 of the fourth deflecting surface 454 and then along the second planar surface 462 of the fourth deflecting surface 454. This movement causes the flow to shift or expand to fill substantially the entire upper portion of the mixing passage 48 defined by the top side 428 of the mixing panel 406. The divided flows are then ready to be recombined at the trailing edge 420 defined by the first and second hook sections 424 and 426 of the mixing panel 406. This recombination is generally not a complete recombination, as the fluid flow moving past the trailing edge 420 of the right mixing baffle 202b is generally already flowing past a leading edge of another mixing baffle that further defines the fluid flow in a different direction (e.g., the left mixing baffle 203a).
The shifting and dividing movement of the fluid flow caused by flow around the right mixing baffle 202b is capable of again doubling the number of layers of two fluids originally presented in layers before entry at the leading edge 408 of the right mixing baffle 202b. Of course, it will be understood that the actual flow is likely more mixed together (e.g., the mixing is optimized) as a result of flowing over the differently angled surfaces on the first, second, third, and fourth deflecting surfaces 432, 434, 452, and 454 and as a result of flowing over the various hook sections 410, 412, 424, and 426.
Turning to
While the invention is described herein using a number of embodiments, these specific embodiments are not intended to limit the scope of the invention as otherwise described and claimed herein. The precise arrangement of elements and order of the steps of articles and methods described herein are not to be considered limiting. For instance, although the steps of the methods are described with reference to sequential series of reference signs and progression of the blocks in the figures, the method can be implemented in a particular order as desired.
This application claims the benefit of U.S. Provisional Patent App. No. 62/541,574, filed Aug. 4, 2017, the disclosure of which is hereby incorporated by reference herein.
Number | Date | Country | |
---|---|---|---|
62541574 | Aug 2017 | US |