Information
-
Patent Grant
-
6422272
-
Patent Number
6,422,272
-
Date Filed
Wednesday, April 4, 200123 years ago
-
Date Issued
Tuesday, July 23, 200222 years ago
-
Inventors
-
Original Assignees
-
Examiners
Agents
- Breh; Donald J.
- Croll; Mark W.
- Soltis; Lisa M.
-
CPC
-
US Classifications
Field of Search
US
- 140 932
- 140 934
- 140 150
- 140 152
- 100 30
- 100 33 R
- 092 82
-
International Classifications
-
Abstract
A strap sealer has a dual action piston. A seal forming assembly is operably connected to the piston. The sealer includes a housing that defines a cylinder and has a penetration therein. A piston is disposed in the cylinder for reciprocating movement. The piston defines upper and lower pressure regions of the cylinder. The sealer includes a compressed air inlet, first and second flow paths between the inlet and the upper and lower pressure regions and a valve assembly for providing flow communication between the inlet to supply air to and exhaust air from the upper and lower pressure regions. A ram is mounted to the piston for reciprocating movement therewith. The ram traverses through the housing penetration. The ram has first and second cross-sectional areas that are different from each other. As the piston reciprocates, the ram traverses through the housing penetration. When the first cross-sectional area resides at the housing penetration a seal is formed and when the second cross-sectional area passes through the housing penetration a vent path is provided from the lower pressure region outwardly to vent air from the lower pressure region.
Description
BACKGROUND OF THE INVENTION
The present invention is directed to a strap sealer. More particularly, the present invention is directed to a strap sealer having a dual action piston that is vented to increase return action.
Strap material is widely used for bundling and securing loads. These strapping materials will be commonly recognized as steel or plastic strap that surrounds or encircles a load to secure the load together, e.g., bundle the load. For example, lumber is often bundled and strapped so that the individual pieces of wood are retained within the larger lumber bundle. Many types of articles are held together by strapping material, such as paper, packaging containers, bottles and the like.
The size and strength of the strap material varies depending upon the load and the tension required in the strap. For example, in the shipping industry where large containers or crates are often secured by strapping material, large width, heavy gauge strapping is used.
When secured around a load, the strapping material must be sealed or secured to itself. Various methods and devices are known for effecting these seals. One type of strapper forms seals by punching the strapping material to form interlocks between upper and lower layers of the overlapped strapping material. This is commonly referred to as a seal-less strap. Another type of strap seal, typically for heavier gauge strapping material requires a separate seal that is positioned around the overlapped strapping material. This seal is then crimped at its edges and partially into the body of the seal and strap, transversely, of the seal to crimp the seal and the strapping material together. Deformation type seals such as these are disclosed in Meier, U.S. Pat. No. 3,089,233 and Young, U.S. Pat. No. 3,237,256, which patents are incorporated herein by reference.
To form the crimped or deformed seal, many types of sealers are known in the art. Such sealers can be driven electrically, pneumatically, hydraulically or the like. One known pneumatic sealer includes a housing having a piston that is positioned within a cylinder. The piston reciprocates to move a linkage to which a pair of jaw elements are connected. The jaw elements close or move together to contact the seal element to effect the crimp or seal. In such a pneumatic sealer, air pressure is used to move the piston to close the jaws. A spring is positioned at an opposing side of the piston to return the piston to its initial position (to open the jaws). While such an arrangement provides an effective drive for moving the jaws together, the spring continually acting on the piston tends to require an increased air pressure to move the jaws closed. In the event that the air pressure is constant, the spring slows down the action of the piston, thus slowing the overall sealing operation.
In addition, it has also been found that in this spring return arrangement, the jaws can get “hung-up” on the seal and the spring does not have sufficient force return the piston from the closed state to the open state.
It will be recognized that in many industries in which these sealers are used, such as manufacturing or shipping industries, the time that is afforded an operator to form these seals is minimal. As such, tools having slow response times, or tools that get “hung-up” are not acceptable in the workplace.
Accordingly, there exists a need for a sealer device that utilizes compressed air for driving a piston for moving the sealer jaws. Desirably, such a device is unbiased in that there is no constant back force on the piston as it drives the jaws closed. Most desirably, such a pneumatic sealer is fast-acting to both the sealing and opening positions, that is, to form the seal and to return to the read position.
BRIEF SUMMARY OF THE INVENTION
A strap sealer having a dual action piston and a seal forming assembly operably connected to the piston. The sealer includes a housing that defines a cylinder. The housing has a penetration therein. A piston is disposed in the cylinder for reciprocating movement therein. The piston has first and second sides and defines upper and lower pressure regions at the first and second sides of the piston.
The sealer forms a seal in a seal element and the underlying steel strapping. The seal can be of the crimped or deformed type, or may be of the notch-type, in which notches are cut into the seal element and the underlying strapping material, which notched portions may also be bent to enhance seal integrity.
The piston reciprocates to move a linkage to which a pair of jaw elements are connected. The jaw elements close or move together to contact the seal element to effect the crimp or seal. The seal can be formed by crimping or by “notching” into the seal and the straps around which the seal is positioned.
The dual action piston uses compressed gas, preferably compressed air to move the piston to close the jaw elements and to move the piston to open the jaw elements. A gas inlet is in flow communication with first and second flow paths that extend between the inlet and the upper and lower pressure regions. A valve arrangement provides flow communication between the inlet and the first and second flow paths to supply and exhaust gas to the upper and lower pressure regions.
A ram is mounted to the piston for reciprocating movement therewith. The ram traverses through the housing penetration. The ram has first and second cross-sectional areas that are different from each other.
As the piston reciprocates within the housing the ram reciprocates through the housing penetration. When the ram reciprocates through the housing penetration the and the first cross-sectional area resides at the housing penetration, it forms a seal therebetween. When the second cross-sectional area passes through the housing penetration a vent path is provided from the lower pressure region outwardly to vent gas from the lower pressure region.
Advantageously, the present sealer uses a compressed gas, preferably compressed air for driving the piston for moving the sealer jaws. The present sealer uses compressed air, without a spring assist to move the piston. Thus, there is no constant back force on the piston as it drives the jaws closed. The present dual action piston is fast-acting to both the sealing and opening positions, that is, to form the seal and to return to the ready or at-rest position.
In a current embodiment, the first and second cross-sectional areas of the ram are defined by an undercut region in the ram. Preferably, the undercut region is defined by at least first and second different diameters. Most preferably, the undercut includes flats extending along a portion of the ram.
In the current embodiment, the seal forming assembly includes jaw elements that are moveable toward and away from one another between the open condition and the closed position for forming the strap seal. The vent path from the lower pressure region exhausts air from the lower pressure region when the jaw elements are moved from the open condition to the closed position. The vent path can vent to the seal forming assembly.
In a preferred embodiment, the sealer includes a sealing element at the housing penetration. The sealing element can be an O-ring or like flexible element.
These and other features and advantages of the present invention will be apparent from the following detailed description, in conjunction with the appended claims.
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
The benefits and advantages of the present invention will become more readily apparent to those of ordinary skill in the relevant art after reviewing the following detailed description and accompanying drawings, wherein:
FIG. 1
is a partial cross-sectional illustration of an exemplary sealer having a fast-acting dual action piston in accordance with the present invention, the sealer being illustrated in the sealing state;
FIG. 2
is a partial cross-sectional view of the sealer of
FIG. 1
with the piston in the at-rest state;
FIG. 3
is a partial cross-sectional view of a portion of the piston illustrating the ram traversing through the housing penetration, as the piston moves from the at-rest state to the sealing state;
FIG. 4
is a front view (as seen from
FIGS. 1-3
) of the undercut ram used in the present sealer;
FIG. 5
is a side-view of the ram of
FIG. 4
;
FIG. 6
is an enlarged, partial cross-sectional view of the valve assembly illustrated in a position corresponding to that of the piston being in the sealing state of
FIG. 1
; and
FIG. 7
is a an enlarged, partial cross-sectional view of the valve assembly illustrated in a position corresponding to that of the piston being in the at-rest state of FIG.
2
.
DETAILED DESCRIPTION OF THE INVENTION
While the present invention is susceptible of embodiment in various forms, there is shown in the drawings and will hereinafter be described a presently preferred embodiment with the understanding that the present disclosure is to be considered an exemplification of the invention and is not intended to limit the invention to the specific embodiment illustrated. It should be further understood that the title of this section of this specification, namely, “Detailed Description Of The Invention”, relates to a requirement of the United States Patent Office, and does not imply, nor should be inferred to limit the subject matter disclosed herein.
Referring now to the figures and in particular to
FIG. 1
, there is shown an exemplary sealer
10
having a fast-acting dual action piston embodying the principles of the present invention. The sealer
10
includes generally a housing
12
, a seal forming assembly
14
and a handle
16
. The seal forming assembly
14
is mounted to a base
18
of the housing
12
. The base
18
is preferably mounted to the housing
12
by fasteners (not shown), such as screws, bolts or the like. The handle
16
extends from the housing
12
and can be formed as part of the housing
12
. Alternately, the handle
16
can be mounted to the housing
12
in a sealed arrangement.
The housing
12
defines a cylinder
20
in which a piston
22
is mounted for reciprocating movement between a sealing or closed position as shown in
FIG. 1
, and an at-rest or open position as shown in FIG.
2
.
FIG. 3
is a transitional view of the piston
22
as is moves from the open position to the closed position.
The piston
22
is a dual-action piston. That is, pressurized fluid is applied to move the piston
22
in both directions. To this end, the piston
22
has upper and lower surfaces
24
,
26
, both of which are configured for having pressurized fluid applied to them.
A ram
28
is sealingly mounted to the piston
22
for reciprocating movement therewith. Essentially, the ram
28
defines a stem mounted to the piston
22
, that traverse through a penetration
30
in the housing
12
at the base
18
thereof. The piston
22
is sealed at its periphery, against the cylinder
20
wall, by sealing element
32
such as the exemplary O-ring. A sealing element
34
, such as the exemplary O-ring is positioned at the penetration
30
and forms a seal at the housing penetration
30
for the ram
28
.
The handle
16
is configured to provide a grip for the sealer
10
. In addition, as illustrated in the exemplary sealer
10
, the handle
16
can be configured having an fluid (such as air or pneumatic supply) inlet
36
for the sealer tool
10
. A valve assembly
38
resides in a valve sleeve
40
that is positioned between the supply inlet
36
and first and second flow paths (as indicated at
42
and
44
, respectively) between the supply
36
and the cylinder
20
.
In a present embodiment, the valve assembly
38
is positioned in the sleeve
40
in the handle
16
(or at about a transition of the handle
16
and the housing
12
). The first and second flow paths
42
,
44
are formed in the housing
12
extending from the valve assembly
38
through the housing
12
into upper and lower pressure regions (as indicated at
46
and
48
, respectively) of the cylinder
20
.
A trigger
50
is mounted to the housing
12
at about the handle
16
. The trigger
50
engages a valve stem
52
that actuates the valve assembly
38
. The valve assembly
38
is configured to direct fluid, presently contemplated to be compressed air, into and to vent air from, both the upper and lower pressure regions
46
,
48
of the cylinder
20
, as described below.
The seal forming assembly
14
includes an outer boot
54
, first and second, opposing jaw elements
56
,
58
and a linkage, having first and second linkage arms
60
,
62
that extend between and operably connect the jaw elements
56
,
58
and the ram
28
. To this end, the ram
28
extends through the housing
12
, at the penetration
30
, into the seal forming assembly
14
.
As will be recognized by those skilled in the art, the jaws
56
,
58
close (as seen in
FIG. 1
) onto a seal that is positioned around the overlapping strapping material. The jaws
56
,
58
can be configured to crimp the seal, as by deformation, or can be configured to “cut” notches into the seal and the underlying strapping. The notches may be further bent to enhance seal integrity. All such sealing methods are encompassed by the term crimping as used herein, will be appreciated by those skilled in the art, and are within the scope and spirit of the present invention.
As the piston
22
moves from the sealing position (
FIG. 1
) to the at-rest position (FIG.
2
), the ram
28
moves along with the piston
22
to urge the sealer links
60
,
62
upwardly to open the jaw elements
56
,
58
. Conversely, as the piston
22
moves from the at-rest position to the sealing position, the ram
28
is urged downwardly urging the sealer links
60
,
62
away from one another to close the jaw elements
56
,
58
.
Referring now to
FIG. 1
, when in the sealing position, compressed air is supplied to the upper pressure region
46
through the flow path indicted at
42
, and air is vented from the lower pressure region
48
through the flow path indicated at
44
. Conversely, as seen in
FIG. 2
, when in the at-rest position, compressed air is supplied to the lower pressure region
48
through flow path
44
and air is vented from the upper pressure region
46
through flow path
42
.
Referring now to
FIGS. 6 and 7
, to effect this redirection of compressed air supply and exhaust, the valve stem
52
reciprocates within the bore
40
, opening the flow paths
42
,
44
to the upper and lower pressure regions
46
,
48
. The valve stem
52
is formed having upper and lower sealing lobes
64
,
66
and a central flow passage
68
between the lobes
64
,
66
. The valve assembly
38
includes a plurality of valve sleeves
96
a-c
positioned within the bore
40
and separated from one another by seals
98
a-b,
such as the exemplary O-rings. The sleeves
96
a-c
are formed having openings
99
therein to provide flow communication between the inlet
36
and the flow paths
42
,
44
and the exhaust ports
70
,
74
and the flow paths
42
,
44
. A present assembly
38
includes three valve sleeves, one each associated with the inlet
36
, the upper pressure region flow path
42
and the lower pressure region flow path
44
.
As best seen in
FIG. 6
, the stem
52
reciprocates upward by actuation of or engagement by the trigger
50
(to route air to the upper pressure region
46
) to position the central flow passage
68
between the upper region sleeve
96
a
and the inlet sleeve
96
b.
In this position, compressed air flows from the inlet
36
through the openings in sleeve
96
b,
around flow passage
68
, through upper region sleeve
96
a
openings, and into flow path
42
. At this position, the upper lobe
64
isolates the upper exhaust port
74
, by forming a seal at the lobe
64
/O-ring
98
a
juncture to prevent venting the upper pressure region
46
.
In this stem
52
position, the lower lobe
66
is positioned (and forms a seal) between the inlet sleeve
96
b
and the lower pressure region sleeve
96
c.
This isolates the flow of compressed air to the lower pressure region flow path
44
. At this position, the lower pressure region flow path
44
is open to the stem exhaust port
70
through the openings in sleeve
96
c.
Referring now to
FIG. 7
, the stem
52
reciprocates downward (to route air to the lower pressure region
48
) by the return action of the spring
72
. This locates the central flow passage
68
between the lower region sleeve
96
c
and the inlet sleeve
96
b.
In this position, compressed air flows from the inlet
36
through the openings in sleeve
96
b,
around the central passage
68
, through sleeve
96
c
openings, and into flow path
44
. At the same time, the lower lobe
66
is positioned to isolate the stem exhaust port
70
, by forming a seal at the lobe
66
/O-ring
98
d
juncture to prevent venting the lower pressure region
48
.
When in this stem
52
position, the upper lobe
64
is positioned (and forms a seal) between the inlet sleeve
96
b
and the upper pressure region sleeve
96
a.
This isolates the flow of compressed air to the upper pressure region flow path
42
. At the same time, the upper pressure region flow path
42
is open to the exhaust port
74
through the openings in sleeve
96
a,
up through the spring
72
, and out through the port
74
. The exhaust port
74
thus provides an opening to the environment to exhaust or vent air from the upper pressure region
46
. Those skilled in the art will, from a study of the drawings, recognize and appreciate the valve assembly
38
arrangement and operation.
The valve
38
has a novel arrangement to provide for adjustment to assure that air is directed from and to the proper paths. A threaded cap
100
(threads not shown) maintains the valve assembly
38
intact within the bore
40
. The cap
100
includes a central well
102
that defines a plug
104
. A bearing surface
106
at an end of the plug
104
bears against a resilient element
108
having a bore
110
through the center thereof. A rigid element
112
is aligned with the resilient element
108
, which rigid element
112
also has a bore
114
through the center thereof. The resilient element
108
can be formed of rubber, various appropriate polymeric materials and the like, and rigid element
112
can be formed of, for example, steel.
The rigid element
112
is positioned on the uppermost O-ring
98
a.
The spring
72
is positioned in the cap well
102
and extends through the resilient and rigid element center bores
110
,
114
, respectively. The spring
72
resides within a well
116
in a top of the stem
52
and applies the force to return the stem
52
to the downward position (as illustrated in
FIG. 7
) to pressurize the lower pressure region
48
and vent the upper pressure region
46
.
By threading the cap
110
inward of the housing
12
(i.e., tightening down the cap
100
), an increased force is exerted onto the resilient and rigid elements
108
,
112
. This force compresses the O-rings
98
a-d,
which results in the O-rings
98
a-d
flattening longitudinally and expanding radially inwardly and outwardly. This reduces the inside diameter across each of the O-rings
98
a-d,
which in turn “tighten” around the lobes
64
,
66
. This effectively reduces leakage across the valve assembly
38
. The cap
100
can be “tightened” or “loosened” to reduce leakage or to facilitate movement of the stem
52
within the sleeves
96
a-c
and O-rings
98
a-d.
As set forth above, the ram
28
interconnects the piston
22
and the seal forming assembly
14
. To this end, the ram
28
traverses through the housing penetration
30
and extends between the piston
22
and the linkage arms
60
,
62
.
The present sealer
10
provides an additional flow or vent path, as best seen in
FIG. 3
, as indicated at
78
, for venting the lower pressure region
48
during the closing stroke (that is moving from the at-rest position to the closed position). It has been found that this venting capability provided by this additional vent path
78
reduces the stroke time in moving the piston
22
through this closing stroke.
The present
10
sealer includes an undercut portion (as indicated generally at
80
in
FIGS. 4-5
) in the ram
28
, which undercut portion
80
traverses through the housing penetration
30
during piston
22
stroke. The undercut portion
80
includes a narrowed diameter
82
along an intermediate portion
84
of the ram
28
between the linkage connection
86
and the piston connection
88
. As best seen in
FIGS. 4 and 5
, at about the piston connection
88
and the linkage connection
86
, the ram
28
has a circular cross-section or cylindrical shape that conforms to the penetration
30
with the seal
34
in place. Thus, a complete seal is formed between the ram
28
and the penetration
30
(by the seal
34
), when the piston
22
is at the fully open or fully closed position. However, as the piston
22
moves from the at-rest position to the closed position (
FIG. 3
indicating an intermediate position), the reduced ram shaft diameter at the undercut portion
80
, establishes a flow path
78
between the lower pressure region
48
and the seal forming assembly
14
, through the penetration
30
, past seal
34
. In that the seal forming assembly
14
is open to the environs, the flow path
78
is essentially established from the lower pressure region
48
to the environs, thus assisting the venting of the lower pressure region
48
.
Referring again to
FIGS. 4 and 5
, the undercut
80
is formed in the ram
28
to reduce the overall cross-sectional area of the ram
28
. A width w
1
dimension of the ram
28
is reduced at a first reduced section
90
. As seen in
FIG. 5
, the reduced width section
90
results in “flats”, as indicated at
92
, that extend along a second reduced portion
94
of the ram
28
. The flats
92
transition into the first reduced diameter portion
90
which, further along transitions to the linkage connection
86
. To this end, the portion of the ram indicated generally at
80
, which portion traverses through the housing penetration
30
, has two reduced cross-sectional areas (the first and second reduced diameter portions
90
,
94
), as compared to the full cross-sectional areas (as indicated at
96
,
98
) adjacent the linkage and piston connections that provide this additional vent path
78
.
As will be appreciated by those skilled in the art, the reduced cross-sectional area of the undercut portion
80
provides the additional vent path
78
from the lower pressure region
48
, which increases the overall flow area for exhausting air from the lower pressure region
48
when the sealer
10
is actuated and the piston
22
moves from the at-rest position to the sealing position. Those skilled in the art will appreciate that this increased flow area thus reduces the resistance to movement of the piston
22
from the at-rest position to the sealing position without additional mechanical assistance, such as springs and the like.
It has also been found that the undercut ram
28
does not adversely effect the return of the piston
22
from the sealing position to the at-rest position. That is, although there will inherently be a slight increase in the time required to pressurize the lower pressure region
48
, this increase in time is not sufficiently great to adversely effect the overall operation of the sealer tool
10
.
In the present disclosure, the words “a” or “an” are to be taken to include both the singular and the plural. Conversely, any reference to plural items shall, where appropriate, include the singular.
From the foregoing it will be observed that numerous modifications and variations can be effectuated without departing from the true spirit and scope of the novel concepts of the present invention. It is to be understood that no limitation with respect to the specific embodiments illustrated is intended or should be inferred. The disclosure is intended to cover by the appended claims all such modifications as fall within the scope of the claims.
Claims
- 1. A strap sealer having a dual action piston comprising:a housing defining a cylinder, the housing defining a penetration therein; a piston disposed in the cylinder for reciprocating movement therein, the piston having first and second sides, the piston defining upper and lower pressure regions at the first and second sides of the piston; a gas inlet; first and second flow paths extending between the gas inlet and the upper and lower pressure regions, respectively; a valve arrangement for providing flow communication between the gas inlet and the first and second flow paths for supply and exhausting gas to the upper and lower pressure regions; a ram mounted to the piston for reciprocating movement therewith, the ram traversing through the housing penetration, the ram having first and second cross-sectional areas different from each other; and a seal forming assembly operably connected to the ram, wherein as the piston reciprocates within the housing the ram reciprocates through the housing penetration, and wherein when the ram reciprocates through the housing penetration the first cross-sectional area resides at the housing penetration forming a seal therebetween, and wherein when the ram reciprocates through the housing penetration and the second cross-sectional area passes through the housing penetration a vent path is provided from the lower pressure region outwardly to vent gas from the lower pressure region.
- 2. The strap sealer in accordance with claim 1 wherein the second cross-sectional area of the ram is defined by an undercut region in the ram.
- 3. The strap sealer in accordance with claim 2 wherein the undercut region is defined by at least first and second different diameters.
- 4. The strap sealer in accordance with claim 2 wherein the undercut includes flats extending along a portion of the ram.
- 5. The strap sealer in accordance with claim 1 wherein the seal forming assembly includes jaw elements moveable toward and away from one another between an open position and a closed position for forming a seal in a strap.
- 6. The strap sealer in accordance with claim 5 wherein the vent path from the lower pressure region exhausts gas from the lower pressure region when the jaw elements are moved from the open condition to the closed position.
- 7. The strap sealer in accordance with claim 1 wherein the vent path vents to the seal forming assembly.
- 8. The strap sealer in accordance with claim 1 including a sealing element at the housing penetration.
- 9. The strap sealer in accordance with claim 1 wherein the ram includes a third cross-sectional area different from the first and second cross-sectional areas.
- 10. The strap sealer in accordance with claim 9 wherein the third cross-sectional area is less than the first cross-sectional area and is greater than the second cross-sectional area.
- 11. A strap sealer having a dual action piston comprising:a housing defining a cylinder, the housing defining a penetration therein; a piston disposed in the cylinder for reciprocating movement therein; upper and lower pressure regions defined by the piston in the cylinder; a compressed fluid inlet; first and second flow paths extending between the compressed fluid inlet and the upper and lower pressure regions, respectively, the first and second flow paths providing flow communication between the compressed fluid inlet and the upper and lower pressure regions; a stem mounted to the piston for reciprocating movement therewith, the stem traversing through the housing penetration, the stem having first and second cross-sectional areas, the first cross-sectional area being greater than the second cross-sectional area, wherein when the second cross-sectional area resides at the penetration a third flow path is provided from the lower pressure region outwardly to vent the lower pressure region; and a seal forming assembly operably connected to the stem.
- 12. The strap sealer in accordance with claim 11 wherein the second cross-sectional area of the stem is defined by an undercut region therein.
- 13. The strap sealer in accordance with claim 12 wherein the undercut region is defined by at least first and second different diameters.
- 14. The strap sealer in accordance with claim 12 wherein the undercut region includes flats extending along a portion of the stem.
- 15. The strap sealer in accordance with claim 11 wherein the seal forming assembly includes jaw elements operably connected to the stem, the jaw elements being moveable toward and away from one another between an open condition and a closed position for forming a seal in a strap.
- 16. The strap sealer in accordance with claim 15 wherein the vent path from the lower pressure region exhausts fluid from the lower pressure region when the jaw elements are moved from the open position to the closed position.
- 17. The strap sealer in accordance with claim 11 wherein the vent path vents to the seal forming assembly.
- 18. The strap sealer in accordance with claim 11 including a sealing element positioned at the housing penetration.
- 19. The strap sealer in accordance with claim 11 wherein the stem includes a third cross-sectional area different from the first and second cross-sectional areas.
- 20. The strap sealer in accordance with claim 19 wherein the third cross-sectional area is less than the first cross-sectional area and is greater than the third cross-sectional area.
US Referenced Citations (5)