The present invention relates generally to liquid pumping systems, wherein a fluid is moved from a supply vessel to a receiving vessel. More particularly, the present invention relates to the coordination of the diameter of the liner ports to the depth of the piston flat which together define the fluid flow channel within the pump.
There are situations in which it is necessary to obtain relatively high flow rates of the pumped fluid. High flow rates can typically be obtained through increases in pump speed, pump dimensions and pump stroke. Within the constraints of pump size, it has been found that increases in pump speed and/or stroke beyond a certain point do not result in higher fluid output. Accordingly, manufacturers of virtually all positive displacement pumps offer a variety of product sizes so that a wide range of flows can be provided. Occasionally, constraints of available space or other factors urge attempts to surpass the upper flow limits specified for a given pump.
Positive displacement pumps have been around for many years. These pumps include a specially designed piston/liner set, wherein a rotating and reciprocating piston has a cutout at the end of the piston in the shape of the letter “D”. During the intake stroke, one port of the liner is open and fluid is sucked into the liner and travels down the “D” cut-out on the piston to fill the liner. Although careful consideration has been historically applied to the depth of the piston cutout, that consideration has been limited to making sure that, during piston rotation, there is no instance where both ports of the liner are open, which is commonly referred to as a blow-by condition.
Typically the port diameter of the liner has been arbitrarily chosen as a convenient fractional dimension which could be obtained with readily available tooling. Table A below shows typical liner port diameters for a variety of pump sizes according to the prior art.
As can be seen from Table A, once the port diameter has been selected, past practice has been, as mentioned above, to select the depth of the flat on the end of the piston to be as deep as possible without there having the blow-by danger of rotation position allowing even a slight portion of both ports to be exposed simultaneously. Such a condition would allow undesired fluid flow through the pump caused by pressure differential from inlet-to-outlet while both ports are open.
Accordingly, it would be desirable to design a pump with sizes for the piston diameter and depth of the flat that optimizes fluid flow without the danger of blow-by and flow cavitation.
In one aspect of the present disclosure, a liquid pump having a pump liner and a pump piston is provided. The pump liner defines a central longitudinal bore and a transverse inlet bore communicating with the central bore for conveying a liquid. The transverse inlet bore has a diameter centered around a centerline intersecting with a centerline of the central longitudinal bore. The pump piston is axially and rotatably slidable within the central longitudinal bore for pumping the liquid from the transverse inlet bore. The pump piston has a centerline intersecting with a centerline of the transverse inlet bore, and further has a flat surface formed parallel with the piston centerline at a distal end of the piston. The flat surface defines a cut-out portion of the piston, wherein the cut-out portion has a hydraulic diameter Dh defined as Dh=4 A/P, where A is a cross-sectional area of the cut-out portion and P is the perimeter of the cut-out portion. The hydraulic diameter of the cut-out portion is equal to the diameter of the transverse inlet bore of the liner and a distance from the centerline of the piston to the flat surface defining the cut-out portion is greater than or equal to ½ of the diameter of the transverse inlet bore of the liner.
The pump liner further preferably includes a transverse outlet bore, wherein the cut-out portion of the piston rotationally reciprocates between the inlet bore and the outlet bore. The cut-out portion preferably has a D-shaped cross-section and further preferably presents a flow resistance equal to a flow resistance presented by the inlet bore.
In another aspect of the present invention, a method for minimizing resistance to aspirated fluid flow in a liquid pump is provided. The liquid pump is similar to that described above and the method includes the steps of forming a flat surface on the piston parallel with the piston centerline at a distal end of the piston, wherein the flat surface is formed at a distance from the centerline of the piston greater than or equal to ½ of the diameter of the transverse inlet bore of the liner. The flat surface defines a cut-out portion of the piston having a hydraulic diameter Dh defined as Dh=4 A/P, where A is a cross-sectional area of the cut-out portion and P is the perimeter of the cut-out portion. The method further includes forming a diameter of the inlet bore in the liner equal to the hydraulic diameter of the cut-out portion.
The new design optimizes the relationship between the liner port diameters and the depth of the piston flat to help reduce the pressure changes inside of a positive displacement pump and to help reduce pump cavitation under certain conditions.
The preferred embodiments of the apparatus and method of the present invention, as well as other objects, features and advantages of this invention will be apparent from the following detailed description, which is to be read in conjunction with the accompanying drawings.
Referring first to
The pump 100 further includes a ceramic piston 118 axially and rotatably slidable within the central bore 114 of the piston liner 112. One end of the piston 118 extends out of the open end 110 of the pump casing 102 and includes a coupling 120 for engagement with a motor. At its opposite end, the piston 118 is formed with a relieved or “cutout” portion 122 disposed adjacent the transverse bore 116 of the pump liner. As will be described below, the relieved portion 122 is designed to direct fluid into and out of the pump 100.
A seal assembly 124 is provided at the open end 110 of the pump casing 102 to seal the piston 118 and the pump chamber 108. The seal assembly 124 is retained at the open end 110 of the pump casing 102 by a gland nut 126 having a central opening 128 to receive the piston 118. The gland nut 126 is preferably attached to the pump casing 102 with a threaded connection 130 provided therebetween.
In operation, a motor (not shown) drives the piston 118 to axially translate and rotate within the central bore 114 of the piston liner 112. In order to draw liquid into the transverse bore 116 from the inlet port 104, the piston 118 is rotated as required to align the relieved portion 122 with the liner inlet port 116a. The piston 118 is then drawn back as required to take in the desired volume of liquid into the central bore 114 of the pump liner 112. Withdrawal of the piston 118 produces a negative pressure within the liner inlet port 116a of the transverse bore 116, which draws in liquid from the casing inlet port 104. The piston 118 is then rotated to align the relieved portion 122 with the liner outlet port 116b. Finally, the piston 118 is driven forward the required distance to force liquid into the outlet port 116b of the transverse bore 116 to produce the desired discharge flow.
Referring additionally to
a show a typical pump of the prior art employing, for example, a ⅜″ (0.375) piston 118 and an inlet port 116a having a diameter of 7/32″. This ⅜″ piston/liner set was designed following the single consideration idea of using convenient fractional tooling to create the port hole and then dimensioning the flat depth so as to avoid blow-by.
The novelty of the present invention is to introduce a second consideration in selection of the piston flat depth and liner port diameter beyond merely choosing a convenient port size and matching piston flat to avoid blow-by. That second consideration was associated with aspects limiting maximum flow possible through any given pump size.
a show a pump set, including a liner 10 and a reciprocating piston 12, according to the present invention. The ceramic piston 12 has, for example, a 9 mm (0.354″) diameter, which was designed with the double consideration concept described herein. As described above, the piston 12 is formed with a flat 20, which defines a D-shaped relieved portion 14, and which further defines a channel within the liner 10 through which fluid flows. Comparing the “D” channel section 140 of the pump according to the prior art shown in
The lack of a double consideration coordination design of port diameter and piston flat depth in the legacy ⅜″ ceramic set yields a “D” shaped channel 140 with approximately 4× the flow resistance of the liner port 116a. By contrast, the flow resistances of port hole 11 and “D” shaped channel 14 in the 9 mm piston/liner set are approximately equal. Accordingly, the resistance to fluid flow through the liner port 116a and down the “D” shaped channel 140 is considerably higher for the legacy ⅜″ design than it could have been if the teachings of this invention had been used. The same opportunity for reduced flow resistance and improved high flow performance found with the ⅜″ pump has been found to apply to all other legacy pumps listed in Table A.
Referring additionally to
Hydraulic diameter is used to calculate pressure loss in ducts or pipes when the flow is characterized as turbulent. The high fluid velocities associated with pumps approaching their maximum output flow are definitely turbulent and well beyond laminar. Accordingly, pressure loss calculations appropriately apply hydraulic diameter to such flows within the pump body.
As fluid enters the pump, it first passes through the port 11 and then proceeds along the “D” shaped channel 14 towards the cavity 13 being expanded at the bottom of the piston 12. Reducing pressure drop along the fluid path will promote good filling of the pump during aspiration. An obvious way to reduce flow resistance through the circular port is to increase the diameter 16 of the port 11. However, as explained above, an increase in port diameter must be accompanied by a reduction in depth of the piston flat in order to avoid “blow-by”. This will lead to an increase in pressure drop along the “D” shaped channel and thereby defeat the objective of reducing overall resistance to fluid flow.
It is deemed desirable that pressure drop or resistance to flow be minimized for the full path of fluid travel. In order to coordinate liner port diameter 16 with the “D” shaped channel 14, the object is to match flow resistance for the portion of the flow path through the port 11 and the portion of the flow path along the “D” shaped channel while minimizing overall resistance. Calculation of pressure drop along the fluid path utilizes hydraulic diameter and it can be shown that different channel shapes (e.g., circular or “D” shaped) will have the same turbulent flow pressure drop if they have the same hydraulic diameter.
The equation that defines the hydraulic diameter is:
where Dh is the hydraulic diameter, A is the cross sectional area of the cut-out portion 14, and P is the perimeter of the cut-out portion 14. Thus, it can readily be seen that the hydraulic diameter of a circular cross section is equal to the diameter itself. The goal is to calculate the hydraulic diameter for the irregular shaped “D” cross-section 14 and have it equal the diameter 16 of the liner port 10, while avoiding the blow-by condition.
In pumps of this type, the piston 12 has an axial center line 23 that intersects with an axial centerline 25 of the liner port 11. To avoid the blow-by condition, the distance d from the center 25 of the piston 12 to the piston flat 20, must be greater than or equal to the port radius 22 (½ the diameter 16 of the port 11). To solve for that minimum distance d, the equation Dp=2d is used where Dp is the port diameter 16. Both equations come together where the hydraulic diameter equals the port diameter:
The area of the cut-out portion 14 can be expressed as:
A=½(Rs−cd)
Where R is the piston radius, s is the arc length of the cut off portion of the piston, and c is the piston flat length viewed from the piston end. The perimeter of the cut-out portion 14 can be expressed as:
P=c+s
The equations can be solved in terms of d, which is the minimum distance for the piston center to flat to prevent the blow-by condition. Solving for Dp with this value gives the maximum port diameter. These values can then be used as a reference to determine the port diameter and depth of the “D” cut on the piston while taking into account the manufacturing tolerances.
Although preferred embodiments of the present invention have been described herein with reference to the accompanying drawings, it is to be understood that the invention is not limited to those precise embodiments and that various other changes and modifications may be affected herein by one skilled in the art without departing from the scope or spirit of the invention, and that it is intended to claim all such changes and modifications that fall within the scope of the invention.
This application claims the benefit of U.S. Provisional Application No. 62/580,139, filed Nov. 1, 2017, which is incorporated herein by reference in its entirety for all purposes.
Filing Document | Filing Date | Country | Kind |
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PCT/US2018/058690 | 11/1/2018 | WO | 00 |
Publishing Document | Publishing Date | Country | Kind |
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WO2019/089912 | 5/9/2019 | WO | A |
Number | Name | Date | Kind |
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3168872 | Pinkerton | Feb 1965 | A |
5494420 | Mawhirt | Feb 1996 | A |
7785084 | Rawlings | Aug 2010 | B1 |
7798783 | Burns | Sep 2010 | B2 |
9261085 | Middleton | Feb 2016 | B2 |
9828978 | Middleton | Nov 2017 | B2 |
Number | Date | Country |
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201502493 | Jun 2010 | CN |
Number | Date | Country | |
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20200325880 A1 | Oct 2020 | US |
Number | Date | Country | |
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62580139 | Nov 2017 | US |