Boundary layer modification in closely-spaced passages
10967305 ยท 2021-04-06
Assignee
Inventors
Cpc classification
International classification
Abstract
Described is a stacked-plate apparatus having a plurality of plates stacked along an axis and having gaps between adjacent plates, each of which act as flow passageways for flow of fluid from a fluid inlet to a fluid outlet. Pairs of adjacent plates comprise one and optionally two lips, which extend axially into the flow passageway at the fluid inlet, thereby narrowing an inlet gap between the plates at the fluid inlet. The lips enhance the flow of fluid towards the fluid outlet of the flow passageway, for at least a working distance downstream thereof, as compared to a pair of adjacent plates that does not have the lips.
Claims
1. A stacked-plate apparatus comprising: at least one pair of adjacent plates stacked along an axis, each plate of the pair comprising an outer periphery forming an outer edge and comprising an inner edge, said adjacent plates having opposing surfaces that are parallel to one another and spaced apart axially to form a flow passageway for flow of fluid therethrough from a fluid inlet formed by the outer edges of the at least one pair of adjacent plates, to a fluid outlet formed by the inner edges of the at least one pair adjacent plates, wherein: a first plate of the at least one pair of adjacent plates has a first lip at the outer edge of the first plate for modifying boundary layer formation on the first plate, the first lip extends axially into the flow passageway at the fluid inlet and extends from the outer edge radially inward, thereby narrowing the flow passageway at the fluid inlet to form an inlet gap; and a second plate of the at least one pair of adjacent plates comprises a second lip at the outer edge of the second plate for modifying boundary layer formation on the second plate, the second lip extends axially into the flow passageway at the fluid inlet and extends from the outer edge radially inward, wherein the inlet gap between the first and second lips is 100 m or less across.
2. The apparatus of claim 1 wherein the first lip and/or second lip has a planar surface that is generally coplanar with the opposing surfaces of the adjacent plates.
3. The apparatus of claim 1 wherein the first lip and/or second lip is rectangular in cross section.
4. The apparatus of claim 1 wherein the outer edge is an undulating edge of the plate.
5. The apparatus of claim 4 wherein the undulating edge is a pleated edge.
6. The apparatus of claim 1 wherein the first lip and/or the second lip is continuous around the entire outer edge of the respective plate.
7. The apparatus of claim 1 wherein the first lip and the second lip are opposite one another at the fluid inlet.
8. The apparatus of claim 1 wherein the opposing surfaces of the at least one pair of adjacent plates are spaced apart by 200 pm or more.
9. The apparatus of claim 1 wherein the fluid is a liquid.
10. The apparatus of claim 1 wherein the fluid is a gas.
11. A stacked-plate filter comprising: a plurality of plates stacked along an axis and adjacent one another, each plate comprising a central opening forming an inner edge about the axis and an outer periphery forming an outer edge, said plates being parallel to one another with the upper and lower planar surfaces of adjacent plates spaced apart to form a flow passageway therebetween for flow of fluid therethrough; a fluid inlet at the outer edges of adjacent plates; and a fluid outlet at the inner edges of adjacent plates, wherein: the upper surface of each of the plates has an upper lip around the outer edge of the plate for modifying boundary layer formation on the plate, the upper lip extending axially from the upper surface and extending from the outer edge radially inward; the lower surface of each of the plates has a lower lip around the outer edge of the plate for modifying boundary layer formation on the plate, and the lower lip extending axially from the lower surface and extending from the outer edge radially inward; the upper and lower lips of adjacent plates oppose one another at the fluid inlet to form an inlet gap, wherein the inlet gap is 100 pm or less across.
12. The filter of claim 11 wherein the upper and/or lower lip has a planar surface that is generally coplanar with the upper and/or lower surface of the plate, respectively.
13. The filter of claim 11 wherein the upper and/or lower lip is rectangular in cross section.
14. The filter of claim 11 wherein the outer edge of each plate is a radially undulating edge.
15. The filter of claim 14 wherein the radially undulating edge is a pleated edge.
16. The filter of claim 11 wherein the upper and/or lower lip is continuous around the entire outer edge of the respective plate.
17. The filter of claim 11 wherein the upper and lower surfaces of adjacent plates are spaced apart by 200 pm or more.
18. The filter of claim 11 wherein the fluid is a liquid.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Various of the drawings below set forth arrangements of features affecting at least fluid flow and structure considerations which can vary according to the process design considerations, and unless specifically noted, proportions illustrated thereon are not necessarily to scale.
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DESCRIPTION
(27) In testing a stacked plate filter, such as that disclosed in Applicant's US patent application US 2018-0161705A1 and published on Jun. 14, 2018, when plates were spaced about 100 m apart, pressure drop across the plates rose sharply with increased flow rate of water therethrough. At 75 m plate spacing, fluid flow was established, but it was unstable. And as time progressed, pressure drops climbed, and after a number of start-stop tests flow therethrough could no longer be established. The filter was essentially blocked. At 50 m plate spacing, flow of water through the plates could not be established at all. As verification that the plates were in fact open and not blocked with particulate matter, air was pumped successfully through the plate filter with expected pressure drops thereacross.
(28) While initially attributed to fluid viscosity and surface tension, Applicant has determined that the development of a boundary layer within the plate filter plays a dominant role in the flow performance of a plate filter. The displacement effect of the boundary layer causes a small but finite displacement of the outer fluid streams spaced from the wall.
(29) With reference to
(30) As shown in
(31) Closely-Spaced Plates for Filtering
(32) In other design cases, where filtering is the driving factor, the plates are arranged in a more closely-spaced manner, to exclude particulates and the displacement is constrained. As shown in
(33) In
(34) With reference to
(35) The opening has inner edge 106 forming an inner diameter (ID) of the plate, and an outer periphery of the plate has an outer edge 108 forming an outer diameter (OD) of the plate. In embodiments with teeth 122, the outer edge 108 is the edge around and between the individual teeth 122 as shown in
(36) Typically the central opening 104 is fluidly connected to one of a fluid inlet or fluid outlet depending on the flow direction. If the central opening 104 is a fluid inlet, the inner edge, which is fluidly connected to the fluid inlet, forms a gap interface. In embodiments, the outer edge is fluidly connected to the fluid inlet, forming the gap interface, for flow through the stack from the outer edge to the inner edge and the fluid outlet.
(37) The size of the gap 102 between each pair of adjacent plates 100,100 is sized to exclude particulates from entering therein. When flowing in-to-out, the respective pairs of adjacent inner edges 106 exclude particulates from entering the gap 102 between adjacent plates and flowing along the gap. When flowing out-to-in, the respective pairs of adjacent outer edges 108 exclude particulates from entering the gap 102 between adjacent plates and flowing along the gap.
(38) Referring to
(39) As shown in
(40) While the development of a boundary layer requires a compensatory increase in the free stream velocity, the embodiments herein significantly reduce the extent to which velocities increase and pressure drops increase.
(41) Edge Misalignment
(42) In the prior art, each plate of a stack of plates had been of like design, resulting in coincident inner and outer edges, aligning along a perpendicular to the plane of the plates. In other words, when the plates happen to be stacked vertically and secured together for use, all the inner and outer edges aligned vertically. As described in Applicant's co-pending US published patent application US 2018-0161705A1, Applicant noted that with this prior art arrangement, individual particles are often received and become lodged along the aligned and spaced edges of the gap interface, the aligned edges of the plates imposing retaining forces. In US published patent application US 2018-0161705A1, Applicant disclosed a stacked plate filter with misalignment of the respective and adjacent inlet edges to mitigate particle retention and clogging at the filter gap interface. A slight misalignment of the edges at the gap interface, such as that being less than the particle radius, disables opposing frictional jamming forces that retain particulates.
(43) Further, as shown in
(44) Each plate 100 may also comprise a plurality of alignment holes 128 for coupling to assembly rods 138 as part of the assembly apparatus, as shown in
(45) In this embodiment, the teeth 122 are generally of the same size and circumferentially uniformly distributed. Each tooth 122 is symmetrical to a central axis thereof (not shown). As shown in
(46) In this embodiment the three alignment holes 128A, 128B and 128C are located on the plate 100 at a same distance from the center 130 (denoted origin hereinafter) of the plate 100, and at 120 to each other with respect to the origin 130. Further, the alignment holes 128 are positioned such that, for each alignment hole 128, the tooth 122, or the notch 1126 if the tooth faces a notch, adjacent thereto is asymmetrical with respect to an imaginary line between the origin 130 and the center of the alignment hole 128. In other words, the imaginary line between the origin 130 and the center of the alignment hole 128 is offset from the central axis of the adjacent tooth 122. For example, the tooth 122A adjacent to the alignment hole 128A is asymmetrical to the imaginary line 136A between the origin 130 and the center of the alignment hole 128A. The tooth 128C faces a notch 126, which is asymmetrical to the imaginary line 136C between the origin 130 and the center of the alignment hole 128C. Such asymmetry of the teeth 122 results in different patterns of the front and rear faces of the plate 100, in terms of the tooth positions relative to the alignment holes, and gives rise to angular offset between filter plates 100 after assembling.
(47) As shown in
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(49) Thus, in order to obtain angular separation the plates' peripheries are pleated and the alignment holes are slightly offset from a symmetrical radial through the pleating profile so that when flipped over, the pleat profile is shifted angularly from the adjacent pleat profile. Pleats both provide an increased surface area as well as a non-tangential face to allow for angular offset. As shown in
(50) With the assembly comprising alternate flipping of a single plate, used for each of a stack of plates, only one mold is necessary, reducing costs and reducing errors in assembly. An alternate embodiment is to implement a mold for each offset through 360 degrees and thus avoid flipping plates. However, using an offset using degrees, this method would require 720 molds. Another practical alternate embodiment is to implement two molds, the alignment holes arranged to alternate degree clockwise and degree counterclockwise each alternating plate.
(51) Plates 100 may further comprise plate bosses 142 to space adjacent plates 100,100. The plate bosses 142 can be spaced about the plate's circumference at an intermediate radial orbit. For gap dimensional stability, plates 100 having a large radial extent, or which are subject to compressive forces can benefit from additional tooth bosses 144 (see
(52) The plates 100 can be made of a synthetic material for reduced fluid friction and for erosion resistance. One such synthetic is a polymer material including silica. In one embodiment, the plates are made of a polymer material containing silica including nylon material. An injection mold process can be employed to inject the polymer material into a suitable mold for making the plates.
(53) In some embodiments, the plates 100 are made of a polymer material having a suitable percentage of silica. For example, in one embodiment, the plates 100 are made of a polymer material, such as Nylene 5133 HS having about 33% silica, manufactured by Nylene Canada Inc. of Arnprior, Ontario, Canada. In another embodiment, the plates 100 are made of a polymer such as Vydene R533 NT having about 33% silica, manufactured by Ascend Performance Materials of Houston, Tex., United States of America.
(54) An inert polymer with a silica base is quite chemically neutral and can in the order of at least 5 stronger than a stainless material without issues caused with H.sub.2S stress cracking or oxidation problems associated with carbon steel. The polymers are also recyclable.
(55) Those skilled in the art appreciate that the plates 100 may alternatively be made of other suitable materials such as carbon steel or stainless steel. However, compared to plates made of steel, the polymer plates 100 have advantages including reproducible manufacturing tolerances in the order of within 5/10,000ths of an inch. Such tolerances are more difficult to achieve economically in materials such as carbon or stainless steel. Polymer plates may have compressive strength in the order of at least 10,000 psi, contribute to lowering pressure drop due to reduced surface drag, and are also chemically resistant to oilfield chemicals.
(56) Boundary Layer Manipulation
(57) With reference to
(58) Without being limited to theory, a comparison of
(59) In
(60) As demonstrated in the empirical results disclosed herein, it is believed that this modification or manipulation of the formation of the boundary layer by lip 150 enhances the flow of fluid through a passageway, enhance meaning that the flow rate of the fluid at a given pressure drop is increased and/or the pressure drop along the passageway at a given flow rate is decreased. Another theory or explanation for the operation of the invention described herein is that the lip (or lips) acts as a nozzle at the entrance to the flow passageway between the plates.
(61) In embodiments lip 150 is dimensioned (short) in the flow direction so that a boundary layer is not formed thereon by fluid flowing along the lip. The wall spacing immediately following the lip 150, opens to a downstream passage, gap 102, which is of sufficient dimension that a boundary layer does not attach to the wall behind the lip 150 for at least a working distance downstream thereof. For circular plates, the working distance is normally the radial extent of the plate from inlet edge (edge 108 in this case) to outlet edge (edge 106 in this case). On linear passageways, the working distance is simply the length of the plate from inlet edge to the outlet edge. Returning to the illustrated generally circular plates, in instances where the radial depth of the plate exceeds the working distance, subsequent and supplementary lips 150 can be provided as discussed below.
(62) Without fluid boundary layer attachment to a wall, there is little or no boundary layer growth at the upstream inlet to the passage or gap 102 between the plates, resulting in a reduced need, or extent of which, to forcibly increase velocities to maintain throughput that otherwise would create additional pressure drop.
(63) As shown schematically in
(64) For a silica/polymer plate having a body thickness of about 1.25 mm (1250 um), a 100 m boss 142, and a 50 m lip 150, the radial width of the lip was designed to be about 1 mm (1000 um), considered to be about a minimum for consistency of fabrication and operational strength given the materials used. In preferred embodiments the lip 150 maintains the particle-release overlap as larger and larger diameter plates are used. For example, for plates angularly offset by a degree rotational offset, on the sides of the teeth, the radial lip would then need to be wider for larger diameter plates. The plate filter material is a Nylene (or similar material) which is a silica matrix suitable for injection molds. This material has a low enough thermal shrinkage (about 3%) that it does not impact the dimensions of the molded product. To meet the spacing specifications, machining tolerances were maintained within 5/10,000 or about 13 um.
(65) Experimental data confirms that this arrangement not only reduces pressure drop through a plate filter but also prevents the flow instability and liquid lock experienced in the smaller 50 and 75 m lipless plate filters.
(66) Returning to
(67) The difference in the powers is attributable to the presence of the lip 150. This difference in powers becomes more significant as the flow rates through the plate filter increase. One advantage of the plate filter fit with a lip 150 is that a shorter filter stack could be provided, using fewer plates, for the same performance. Alternatively, the same number of plates could be used but the filter would be rated at a higher throughput.
(68) In the embodiments shown in
(69) In the embodiments shown in
(70) As introduced above, it is believed that the boundary layer manipulation by lip 150 has a working distance on a wall before the boundary layer reforms or begins to reform downstream and layer displacement again encroaches on the ability of fluids to flow between plates. In the context of the plates tested by Applicant above, a 50 m high1 mm wide lip positively influences free stream flow up to a distance of at least about 10 the height downstream, so in this case at least about 500 m. Periodic and repeated introduction of lips, as necessary, may improve the flow performance over longer flow distances, and also over shorter distances. These additional lips also serve to provide an additional gauge of the outer lip, in the event the outer lip becomes damaged, for example by erosion. Thus, as shown schematically in
(71) Further illustrations of embodiments are described with reference to
(72) Additional laboratory and field testing demonstrates the operability of the apparatus and method disclosed. In laboratory tests a centrifugal pump was used to flow fresh water through plate stacks with different spacings between plates and at various flow rates.
(73) A stack of ninety-five (95) plates, without a lip 150 and with a 100 m space between plates was prepared and ten laboratory trials were conducted, each at five discreet pump levels. Flow rates were measured with a container of a known volume and a timer. For each flow rate the pump was run long enough to stabilize the flow loop and take readings, which was approximately five minutes per test. No temperatures were taken during the trials.
(74) The results, plotted as pressure differential (psig) vs. flow rate (bbl/d), are shown in
(75) When 95 plates without a lip, were spaced apart a distance of 75 m between plates, and tested as above, again each successive test had higher pressure drop than the prior test so much so that at trial #10, no flow was established.
(76) Plate molds or injection dies, for manufacturing plates, were machined to obtain higher tolerances on the plates. Four dies, for a 0, 25, 50 and 100 m nominal spacing between the trip lips of paired plates (i.e., the flow gaps), were machined. The actual plate spacing was measured after the plates were produced, as the physical dimensions are influenced by shrinkage of the injected material, the size of the dimensioned items, the total force of the injector press and by relative proximity of the dimensioned item relative to the injector locations. It was determined that the lip 150 at the outside edge of the plate had a different overall shrinkage than the formed bosses used to separate the plates. In addition, the design employed two different sizes of bosses, and these had different shrinkage characteristics. In many cases, the injector press was insufficient to keep the dies completely closed resulting in a small amount of flash material extruded where the facing dies meet. This flash, no matter how small can result in an out-of-spec plate. To mitigate the effect of flash material on fluid flow between adjacent plates, the dies were redesigned so that the flash material, if formed at all, would be deposited intermediate the plate inlet edges, away from the facing corners or edges of the plate 114 where fluid influx occurs.
(77) The following plate combinations combine to form the actual flow inlet gap between adjacent plate lips. As an example, the 50+50 plate comprises two plates each with a lip of nominal 50 m in height (100 m total), which are used to create a nominal 100 m gap between the lips and a nominal 200 m space between the plates. This combination results in an actual total trip lip height of 127 m, a flow gap between the lips of 86.36 m, and space between the plates of 213.36 m.
(78) TABLE-US-00001 INTERPLATE TRIP LIP AVAIL. SPACE HEIGHT FLOW GAP in m in m in m 25 + 0 .0081 205.74 0.0086 218.44 0.0005 12.70 25 + 25 0.0082 208.28 0.0076 193.04 0.0006 15.24 50 + 0 0.0082 208.28 0.0073 185.42 0.0009 22.86 50 + 25 0.0083 210.82 0.0063 160.02 0.0020 50.80 50 + 50 0.0084 213.36 0.0050 127.00 0.0034 86.36 100 + 0 0.0116 294.64 0.0095 241.30 0.0021 53.34 100 + 25 0.0117 297.18 0.0085 215.90 0.0032 81.28 100 + 50 0.0118 299.72 0.0072 182.88 0.0046 116.84 100 + 100 0.0152 386.08 0.0094 238.76 0.0058 147.32
(79) Laboratory tests were run on a 50+50 plate combination (nominal 100 m flow gap, actual 86.4 m flow gap) and a 25+25 plate combination (nominal 50 m and actual 15.24 m flow gap). In addition, plates with no lips and spaced apart by 100 um or 75 m plates were rerun with the same liquid delivery pumps and configuration as the plates having the lips, in order to again compare performance of a plate stack comprising plates with lip to a stack of plates without a lip.
(80) Normal or out-to-in flow (from outer edge 108 to inner edge 106) was performed by running two different pumps at various flow rates to achieve at least five different flow rates, measuring flow rate, inlet pressure, outlet pressure and temperature. Efforts were made to run the test for each individual flow rate for at least one hour in length.
(81) Reverse flow, or in-to-out (from inner edge 106 to outer edge 108) was performed to establish the impact of the lip on flow. Fluids in normal flow enter the fluid inlet and first pass over the lip (if present) and continue through the adjacent plates' gap to the fluid outlet. In reverse flow, the fluids flow through the adjacent plates' gap from the fluid outlet and exit over the lip (if present). In reverse flow, a lip effect on fluid inflow is nullified.
(82) Of interest, while the lip is believed to modify the boundary layer, it is possible that some of the reduction in pressure drop was due to a larger interplate spacing behind the trip lip. The nominal interplate spacing of about 200 m for plates with a lip is double the 100 m space between plates with no lip. It should be noted that it is possible the in-to-out flow is handicapped by additional turbulence caused by the mandrel in the centre opening 104 of the plates in the stack, and because of the smaller inside diameter of the inner edge 106 (as compared to the outer edge 108), this turbulence may therefore be different than that for flow in the reverse direction.
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(84) In running the individual test, for normal flow, it was observed that there was some flow instability over the one hour test period. In most flows trials, the pressure drop increased and the flow rate decreases as the test proceeded. The chart below shows the marked degradation of filter performance over the course of the test
(85) It was observed that there was some flow instability over the one hour test period. In most flow trials, the pressure drop increased and the flow rate decreased as the test proceeded.
(86) Considering the flow profiles across a plate as determined by Blasius 1908) or the Hagen-Poiseuille flow in small diameter tubes, pressure drop is proportional to some geometry parameters as well as fluid viscosity and flow rate, as follows:
pCQ
(87) To determine the geometry parameter C, for these trials, the pressure drop divided by the viscosity adjusted flow rate (P/Q) was plotted over time (as what is referred to as a stability chart). If the geometry parameter is constant, then p/Q should be constant and the plots should yield a vertical line. If the geometry parameter is not constant, then the p/Q is not constant, and the plots will trend towards horizontal, suggesting that at some point flow will not be sustainable, i.e., there is a point above which flow cannot be established.
(88) For reverse flow (i.e., in-to-out; equivalent to a no lip test) the geometry parameter was found to change over the course of the test, which suggested that at some point in time, flow might not occur. This point is approximately 240 m.sup.3/d, as shown in
(89) For forward flow (i.e., out-to-in; lip active) the geometry parameter was also found to change over the course of the test, however the constant was about an order of magnitude smaller than the constant for the reverse flow test. At lower throughput rates for the forward flow test, the geometry constant was relatively stable and appeared to improve over time.
(90) The 50+50 plate combination (nominal 100 m actual 86.4 m opening between the lips) was used in field trials of an 800 plate stacked plate filter. While the laboratory tests were conducted in a controlled environment with a single-phase fluid, the fluids in the field tests were multiphase fluids, including gas, oil, emulsions, waxes and water.
(91) To compare against the single-phase flow data, the field data was converted to a single pseudo phase by estimating the volumes at flow conditions in the filter using industry PVT correlations, estimating the associated viscosities of the fluid, accommodating for dissolved gas in solution for the oils and adjusting the viscosities for temperature.
(92) The test data used for the 100 m plate were based on linear correlations adjusted for viscosity variations due to temperature variations that occurred during the tests and adjusted to the field installations of 800 plates per filter. No adjustment was made for fouling of the filters due to sand production.
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(94) A test for a well in Northern Alberta (0) was a high gas rate well with liquid comprising of about 50% water and 50% light oil. The well made considerable sand while the filter was running requiring frequent clean outs.
(95) A well in Northern British Columbia (+) was a high-pressure condensate rich gas well. The production was nominally 1,000 m.sup.3/d, pressure drops recorded were from almost zero to over 400 kPa. In some cases, this was due to the wellbore slugging fluids where the instantaneous liquid rate was many times higher than the average rate and where sand production caused partial fouling of the filter.
(96) Considering the instability noted in the laboratory tests, the field data was reviewed to see if the instability was demonstrated by an increase in pressure drop over time. The pressure drop showed the effects of unstable well flow but was generally in line with the decline in well productivity as indicated by the desander operating pressure.
(97)
(98) The stability charts for the forward and reverse flow showed similar characteristics as the 50+50 plate combination flow test. The forward flow test with the 25+25 lip show about a seven times improvement over the reverse flow where the lip is not effective. This confirms the utility of the lip for smaller spaces between the plates and a smaller flow gap. A filter comprising plates with no lip and 15 um space between the plates would not be able to flow any fluid.
(99) The current test protocol using an extended test period and taking temperature into account, was performed on a stacked plate filter with plates that did not have a lip and which were separated by a space of 100 m. The results (
(100) While the apparatus and method has been described in conjunction with the disclosed embodiments which are set forth in detail, it should be understood that this is by illustration only and the method and apparatus are not intended to be limited to these embodiments. On the contrary, this disclosure is intended to cover alternatives, modifications, and equivalents which will become apparent to those skilled in the art in view of this disclosure.