NL2010050C2 - Layer for reducing fluid resistance. - Google Patents
Layer for reducing fluid resistance. Download PDFInfo
- Publication number
- NL2010050C2 NL2010050C2 NL2010050A NL2010050A NL2010050C2 NL 2010050 C2 NL2010050 C2 NL 2010050C2 NL 2010050 A NL2010050 A NL 2010050A NL 2010050 A NL2010050 A NL 2010050A NL 2010050 C2 NL2010050 C2 NL 2010050C2
- Authority
- NL
- Netherlands
- Prior art keywords
- layer
- height
- peaks
- elements
- recesses
- Prior art date
Links
- 239000012530 fluid Substances 0.000 title claims description 50
- 239000002033 PVDF binder Substances 0.000 claims description 6
- 229920002981 polyvinylidene fluoride Polymers 0.000 claims description 6
- 239000011888 foil Substances 0.000 claims description 4
- 229920001343 polytetrafluoroethylene Polymers 0.000 claims description 4
- 239000004810 polytetrafluoroethylene Substances 0.000 claims description 4
- 239000004800 polyvinyl chloride Substances 0.000 claims description 4
- 230000007423 decrease Effects 0.000 claims description 3
- NIXOWILDQLNWCW-UHFFFAOYSA-M Acrylate Chemical compound [O-]C(=O)C=C NIXOWILDQLNWCW-UHFFFAOYSA-M 0.000 claims description 2
- 239000005038 ethylene vinyl acetate Substances 0.000 claims description 2
- 239000000203 mixture Substances 0.000 claims description 2
- 229920001296 polysiloxane Polymers 0.000 claims description 2
- -1 polytetrafluoroethylene Polymers 0.000 claims description 2
- 238000011144 upstream manufacturing Methods 0.000 claims description 2
- IJGRMHOSHXDMSA-UHFFFAOYSA-N Atomic nitrogen Chemical compound N#N IJGRMHOSHXDMSA-UHFFFAOYSA-N 0.000 description 2
- 229910003460 diamond Inorganic materials 0.000 description 2
- 239000010432 diamond Substances 0.000 description 2
- ORQBXQOJMQIAOY-UHFFFAOYSA-N nobelium Chemical compound [No] ORQBXQOJMQIAOY-UHFFFAOYSA-N 0.000 description 2
- 230000000630 rising effect Effects 0.000 description 2
- 230000007704 transition Effects 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- 241000251468 Actinopterygii Species 0.000 description 1
- 239000003570 air Substances 0.000 description 1
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 238000005265 energy consumption Methods 0.000 description 1
- 239000000446 fuel Substances 0.000 description 1
- 239000007789 gas Substances 0.000 description 1
- 239000007788 liquid Substances 0.000 description 1
- 229910052757 nitrogen Inorganic materials 0.000 description 1
- 239000001301 oxygen Substances 0.000 description 1
- 229910052760 oxygen Inorganic materials 0.000 description 1
Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64C—AEROPLANES; HELICOPTERS
- B64C21/00—Influencing air flow over aircraft surfaces by affecting boundary layer flow
- B64C21/10—Influencing air flow over aircraft surfaces by affecting boundary layer flow using other surface properties, e.g. roughness
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F15—FLUID-PRESSURE ACTUATORS; HYDRAULICS OR PNEUMATICS IN GENERAL
- F15D—FLUID DYNAMICS, i.e. METHODS OR MEANS FOR INFLUENCING THE FLOW OF GASES OR LIQUIDS
- F15D1/00—Influencing flow of fluids
- F15D1/002—Influencing flow of fluids by influencing the boundary layer
- F15D1/0025—Influencing flow of fluids by influencing the boundary layer using passive means, i.e. without external energy supply
- F15D1/003—Influencing flow of fluids by influencing the boundary layer using passive means, i.e. without external energy supply comprising surface features, e.g. indentations or protrusions
- F15D1/0035—Influencing flow of fluids by influencing the boundary layer using passive means, i.e. without external energy supply comprising surface features, e.g. indentations or protrusions in the form of riblets
- F15D1/004—Influencing flow of fluids by influencing the boundary layer using passive means, i.e. without external energy supply comprising surface features, e.g. indentations or protrusions in the form of riblets oriented essentially parallel to the direction of flow
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64C—AEROPLANES; HELICOPTERS
- B64C2230/00—Boundary layer controls
- B64C2230/26—Boundary layer controls by using rib lets or hydrophobic surfaces
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T50/00—Aeronautics or air transport
- Y02T50/10—Drag reduction
Landscapes
- Engineering & Computer Science (AREA)
- Aviation & Aerospace Engineering (AREA)
- Physics & Mathematics (AREA)
- Fluid Mechanics (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Structures Of Non-Positive Displacement Pumps (AREA)
Description
LAYER FOR REDUCING FLUID RESISTANCE
The invention relates to a layer for reducing fluid resistance between an object and a fluid that are moving with a relative mutual speed. Said object may be an object moving trough any stationary or moving fluid, or a 5 fluid moving with respect to a stationary object. In moving objects, such as for instance a vehicle, for example an air plane, a car, or a boat, it is desirable to minimize the fluid friction, in particular air or water friction, since optimum performance can hereby be obtained in respect of the 10 movement of the object. The performance of the moving object, such as a vehicle, for example an air plane, a car, or a boat, is influenced to a great extent by the fluid resistance. The fluid resistance depends for instance on the speed and the surface over which flow takes place. In moving 15 fluids, such as for instance oil in a pipe, it is also desirable to minimize the fluid friction.
It is noted that in this application by fluid is meant any fluid, such as, but not limited thereto, any liquid, such as, but not limited thereto, water or oil, or 20 any gas, such as, but not limited thereto, air, oxygen, nitrogen.
The state of the boundary layer of the fluid is also important for the fluid resistance. If the boundary layer is turbulent, the resistance will be less than if the 25 boundary layer is laminar. In particular, the thickness of the turbulent boundary layer must remain more or less constant in order to have relatively low fluid resistance.
In order to maintain the turbulent boundary layer at a constant thickness, it may be necessary to bring in or suck 30 off turbulent fluid in or from the boundary layer.
It is now an object of the invention to provide a layer which can be arranged on an object with which the 2 fluid resistance of the object with respect to a fluid can be reduced.
WO-A1-2007/017290 discloses a layer for reducing air resistance of a forward-moving object, which layer 5 comprises a pattern of surfaces rising in a first direction and recesses running between the surfaces in a second direction at an angle to the first direction.
It is in particular an object of the invention to improve the layer disclosed in WO-A1-2007/017290.
10 This object is achieved with a layer which comprises a substantially planar surface, said surface comprising a pattern of outwardly extending elements, said elements having an outer surface with a certain height with respect to the surface of the layer, said certain height 15 increasing in a first direction in the plane of the layer, wherein the surface of the layer further comprises a plurality of recesses extending between the elements in a second direction in the plane of the layer, which recesses have a certain depth with respect to the surface of the 20 layer.
In accordance with the invention said layer comprises recesses having a certain depth with respect to the surface of the layer. In said recesses vortices are created that influence a main fluid flow flowing over said 25 surface by bringing in or sucking off fluid, thereby maintaining a main flow with a turbulent boundary layer with a more or less constant thickness. The applicant has found that as a result of said recesses, vortices are created that efficiently influence the main flow.
30 In use said layer is arranged on said object such that said main fluid flow flows in the first direction of the elements. Said recesses and therefore said vortices flow in a second direction. Said second direction varies over the length of the recesses, such that the angle differs from an 3 entry end of the recesses to an exit end of the recesses.
For recesses that bring in fluid in the boundary layer said angle is approximately 0° at the entry end and approximately 90° at the exit end. As a result thereof, the vortices exit 5 the recesses in a different direction than said main fluid flow, in particularly approximately orthogonal to said main fluid flow, thereby influencing the main fluid flow continuously over more or less the entire surface of the layer, and thereby bringing in turbulent fluid into the 10 boundary layer. For recesses that suck off turbulent fluid from the boundary layer said angle is approximately 90° at the entry end and approximately 0° at the exit end. It is noted that an angle at the exit end of 0° is preferred, but that this is difficult to realize in practice, thus, said 15 angle at the exit end may be larger than 0°. As a result thereof, the vortices exit the recesses approximately parallel to the direction of said main fluid flow, are thereby discharged in the main fluid flow and become laminar at a distance of approximately 20 - 40 times the diameter of 20 the vortices, thereby sucking turbulent fluid out of the boundary layer. Two vortices come together from both sides of the surface element and rotate in different directions, thereby maintaining stability.
Preferably, the cross-section of each recess is 25 substantially circular. In such a recess a vortex with a more or less circular cross-section is created.
In an embodiment of the layer according to the invention the diameter of each recess decreases near its end zones. Such a recess is particularly suitable for surface 30 elements that suck off turbulence fluid, because this enhances the discharge of the vortices in the main fluid flow.
In an embodiment of the layer according to the invention, each outer surface comprises a pattern of 4 alternating peaks and valleys extending longitudinally in the first direction. Such alternating peaks and valleys extending longitudinally in the first direction are also known as riblets, which are known to reduce drag. In 5 accordance with the invention, the height of the top and/or the height of the bottom of the riblets with respect to the surface of the layer increases in the first direction.
In another embodiment of the layer according to the invention the height (h) of a peak with respect to a 10 valley is between 0.5 and 0.7 the spacing (s) between two peaks .
In yet another embodiment of the layer according to the invention the height hp of the peaks reaches a maximum height at a first location upstream to an end of said 15 element seen in the first direction, and wherein between said first location and said end said height hp of the peaks remains substantially said maximum height.
The applicant has found that such an outer surface provides an improved drag reduction as compared to an outer 20 surface with peaks with an increasing height op to the end of the elements.
Preferably the height of the peaks gradually rises up to said maximum height at said first location. With gradually is meant here a more or less continuous 25 inclination angle.
In another embodiment of the layer according to the invention, said elements have a substantially diamond shaped longitudinal cross section in the main plain of the elements, wherein two first end zones are substantially 30 convex and two second end zones are substantially concave.
In another preferred embodiment of the layer according to the invention, the quotient of the pitch distance in the first direction between adjacent surfaces and the desired cruising speed of the object is 5 substantially 20-65 kHz for air. Due to the alternating changes in height between the different elements vibrations occur in the air which can possibly cause a sound. The generation of these vibrations likewise causes fluid 5 resistance, which is undesirable. By now modifying the distance between the elements to the desired cruising speed of the object it is possible to select the created vibrations such that a minimum amount of energy is lost herein. It has been found that this energy consumption is 10 minimal at a frequency of around 20-65 kHz.
In another embodiment of the layer according to the invention the layer is a foil.
In yet another embodiment of the layer according to the invention, the foil has a base layer made of 15 polyvinylchloride (PVC) or a mixture of polyvinylchloride (PVC) and ethylene vinyl acetate (EVA), and a top layer made of polytetrafluoroethylene (PTFE), silicones, polyvinylidene fluoride (PVDF), or acrylate/polyvinylidene fluoride.
These and other features of the invention are 20 further elucidated with reference to the accompanying drawing.
Figure 1 shows a top view of a layer according to a first embodiment of the invention.
Figure 2 shows a top view of one element of the 25 layer of figure 1.
Figure 3 shows a perspective view of the element of figure 2.
Figures 4-6 show transverse cross sections of the element of figure 3 at different locations.
30 Figure 7 shows a simplified top view of two elements of the layer of figure 1.
Figures 8 and 9 show a longitudinal cross section of the two elements of figure 7, wherein figure 8 is a cross 6 section through a peak and figure 9 a cross section trough a valley.
Figure 10 shows a top view of a layer according to a second embodiment of the invention.
5 Figure 11 shows a simplified top view of two elements of the layer of figure 10.
Figures 12 and 13 show a longitudinal cross section of the two elements of figure 11, wherein figure 12 is a cross section through a peak and figure 13 a cross 10 section trough a valley.
Figure 1 shows a layer 1 for reducing fluid resistance between an object and a fluid that are moving with a relative mutual speed. As is shown in figures 4-6 and 8, said layer 1 comprises a substantially planar surface 15 12, which surface 12 comprises a pattern of outwardly extending elements 2. Figures 4-6 show one element 2 and figure 8 shows two elements 2. As is clear from figures 1 -9, said elements 2 have an outer surface composed of peaks 7 and valleys 4, which peaks 7 and valleys 4 extend 20 longitudinally in a first direction R1 in the plane of the layer 1. The direction R1 is also the main direction of the fluid flowing over the layer 1. The peaks 7 have a certain height hp with respect to the surface 12 of the layer 1, which certain height increases in a first direction Rl, see 25 also figures 4-6 and 8. The valleys 4 have a certain height hv with respect to the surface 12 of the layer 1, which certain height increases in a first direction Rl, see also figures 4-6 and 8. The surface 12 of the layer 1 further comprises a plurality of recesses 3 extending 30 between the elements 2 in a second direction R2 in the plane of the layer. The recesses 3 have a certain depth d with respect to the surface 12 of the layer 1, see also figures 4 and 8. The second direction R2 varies over the length of the recess and is approximately 0° with respect to the first 7 direction R1 at the entry end of the recess 3 and approximately 90° with respect to the first direction R1 at the exit end of the recess 3, see also figure 1. Due to the direction of the vortices in the recesses 3 being orthogonal 5 to the main direction of the fluid flow, said vortices influence the main fluid flow over more or less the entire width of the layer 1 and thereby bring turbulent fluid into the boundary layer.
The upper surface 12 and the surface elements 2 10 and recesses 3 may be formed as one integral part. As such, the planar surface 12 may not be visible from the outside, since the surface elements 2 and the recesses 3 form the outer surface of the layer 1. The upper surface 12 may also be seen as a theoretical base plane extending in the main 15 plane of the layer 1, parallel to a lower surface 8 of the layer 1 at a certain distance there from, with respect to which base plane the height of the surface elements 2, in particular the height hp of the peaks 7 and the height hv of the valleys 4, and the depth d of the recesses 3 are 20 defined.
As is shown in figures 1-3, the surface elements 2 have a substantially diamond shaped longitudinal cross section in the main plain of the elements, wherein the elements 2 have concave front edges 5 and convex rear edges 25 6, which convex rear edges 6 form one continuous edge. The surface elements 2 of layer 1 are hereby formed as approximately the scales of a fish. The recesses 3 have a longitudinal shape that is adapted to the concave front edges 5 and the convex rear edges 6, and thus the angle 30 between the second direction R2 and the first direction R1 varies over the length of the recesses 3.
Figures 2 and 3 show one surface element 2 of the layer 1 of figure 4 in more detail. The lower located valleys 4 and the even lower located recesses 3 are herein δ shaded. The higher located peaks 7 are not shaded.
Figures 4-6 show a transverse cross section perpendicular to the main plane of the surface element 2 of figure 3 at three different longitudinal positions in the 5 first direction R1. From these figures it is clear, see also figure 8, that each peak 7 starts rising from its start longitudinal position 9, gradually rises up to a maximum height hpmax at a second longitudinal position 10, and then maintains the same maximum height hpmax up to the end of the 10 element 2. With respect to the middle peak 7, the other peaks 7, which are located on both transverse sides of the middle peak 7, have a start longitudinal position and a second longitudinal position that are located downstream of the start longitudinal position and the second longitudinal 15 position of the middle peak. As such, the heights hp of the other peaks 7 are lower than the height hp of the middle peak 7 at the same longitudinal positions as shown in figures 4 and 5. At the downstream longitudinal position as shown in figure 6 the height hp of all the peaks 7 is more or less the 20 same. As is also clear from figures 4-6, the peaks 7 are relatively small and sharp.
As is further shown in figures 4-6, the valleys 4 rise more or less continuously, such that the height hv of the valleys 4 also increases more or less continuously in 25 the first direction R1. The valleys 4 rise less than the peaks 7, such that the distance between the peaks 7 and valleys 4 increase in the first longitudinal direction R1.
Figure 7 shows two surface elements 2, which are positioned adjacent to each other in the first longitudinal 30 direction R1.
Figure 8 shows a central longitudinal cross section transverse to the main plane of the two surface elements 2 of figure 7, which cross section crosses through the recesses 3 and through the middle peaks 7. From this 9 figure it is clear, that recess 3 has a more or less circular transverse cross section. The depth d of the recess 3 is therefore more or less equal to the radius of the recess 3. A steep transition from the peak 7 to the lower 5 level of the recess 3 occurs at the end of the peak 7 at longitudinal end position 11 in the transition area to the next surface element 2. It is clear from this figure 8, that the recess 3 is arranged lower than the valley 4. Figure 8 further shows the lower end surface 8 of the layer 1, which 10 runs parallel to the upper surface 12 at a certain distance thereof. The increasing height hp of the middle peak 7 is described above with respect to figures 4-6.
Figure 9 shows a central longitudinal cross section transverse to the main plane of the right hand side 15 element 2 of figure 7, which cross section crosses through the recesses 3 and through the valley 4 located next to the middle peak 7. It is clear from this figure 9, that the recess 3 is arranged lower than the valley 4. The height hv of the valley 4 increases continuously over the length of 20 the element 2 and is at the end of the element 2 approximately 10 - 20% of the diameter or width of the recess 3.
Figure 10 shows two a layer 101 according to a second embodiment of the invention. Similar elements are 25 denoted by similar numbers increased by 100. Only the differences between the two layers 101 and 1 will be described below. For a further description of the layer 101 a reference is made to the description of figures 1-9 above .
30 Said layer 101 differs from layer 1 of figure 1 in the surface elements 102 have convex front edges 105 and concave rear edges 106. The convex front edges 105 form one continuous front edge 105. The recesses extend in a second direction R2, which direction R2 varies over the length of 10 the recesses 103. At an entry end of the recesses 103 the second direction R2 is approximately 90° with respect to the first direction and the exit end of the recesses 103 the direction R2 is close to being parallel to the first 5 direction R1. As a result thereof, the vortices flow approximately parallel to the direction of said main fluid flow at the exit end of the recesses, are thereby discharged in the main fluid flow and become laminar at a distance of approximately 20 - 40 times the diameter of the vortices, 10 thereby sucking turbulent fluid out of the boundary layer. The two vortices of the two recesses 103 surrounding one surface element 102 come together at the exit end an due to their opposing direction of rotation maintain stability as a vortex pair. It is noted that a recess 103 that has an exit 15 end that is parallel to the main flow direction R1 is preferred, but that this is difficult to obtain in practice. Thus, the angle of the exit end of the recess and the first direction R1 may be larger than 0°, as is also shown in figure 11.
20 Figure 11 shows two surface elements 102, which are positioned adjacent to each other in the first longitudinal direction R1. The width of the recesses 103 decreases near the ends of the recesses 103. In particular, the width of the recesses in the middle of the recesses 103 25 seen in the longitudinal direction may be 20 - 50% larger than the width of the recesses 103 near the ends. As a result of the decreasing width near the exit end of the recesses 103, the discharge of the vortices in the main flow is enhanced.
30 Figure 12 shows a central longitudinal cross section transverse to the main plane of the two surface elements 102 of figure 11, which cross section crosses through the recesses 103 and through the middle peaks 107. This cross section is more or less similar to the cross 11 section of figure 8, which shows that the surface elements 102 rise according to a similar pattern. Thus, a reference to figure 8 is made for a description thereof.
Figure 13 shows a central longitudinal cross 5 section transverse to the main plane of the right hand side element 102 of figure 11, which cross section crosses through the recesses 103 and through the valley 104 located next to the middle peak 107. This cross section is more or less similar to the cross section of figure 9, which shows 10 that the surface elements 102 rise according to a similar pattern. Thus, a reference to figure 9 is made for a description thereof.
The dimensions of the tops 7, 107, valleys 4, 104 and recesses 3, 103 may be chosen in dependency of various 15 parameters, such as, but not limited thereto, the type of fluid, in particular the density and the (kinematic) viscosity, and the velocity of the fluid flow or the velocity of the object. For example, the height (h) of a peak, defined with respect to the valley, see figure 6, is 20 between 20 - 500 pm, the spacing (s) is between 40 - 1000 pm and the depth (d) is between 5 - 100 pm. In particular h is between 0.5*s and 0.7*s.
When layer 1, 101 according to the invention is arranged on a vehicle, for instance a car, an airplane, or a 25 boat, the pitch distance of the surfaces and the orientation thereof can then be adapted to the fluid flow over the surface of the car. Various aspects can thus be further optimized in order to obtain the lowest possible fluid resistance. The power of the engine is hereby utilized 30 better, and this power can be used either to obtain a lower fuel consumption or a higher top speed.
When layer 1, 101 according to the invention is arranged on a standing object, for example on the inner surface of a fluid pipe, for example for transporting oil, 12 the friction of the moving fluid with respect to the standing object is reduced.
Claims (9)
Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
NL2010050A NL2010050C2 (en) | 2012-12-21 | 2012-12-21 | Layer for reducing fluid resistance. |
PCT/EP2013/077486 WO2014096255A1 (en) | 2012-12-21 | 2013-12-19 | Layer for reducing fluid resistance |
EP13811535.7A EP2935001A1 (en) | 2012-12-21 | 2013-12-19 | Layer for reducing fluid resistance |
US14/654,502 US20160194076A1 (en) | 2012-12-21 | 2013-12-19 | Layer for reducing fluid resistance |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
NL2010050A NL2010050C2 (en) | 2012-12-21 | 2012-12-21 | Layer for reducing fluid resistance. |
NL2010050 | 2012-12-21 |
Publications (1)
Publication Number | Publication Date |
---|---|
NL2010050C2 true NL2010050C2 (en) | 2014-06-24 |
Family
ID=47790460
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
NL2010050A NL2010050C2 (en) | 2012-12-21 | 2012-12-21 | Layer for reducing fluid resistance. |
Country Status (1)
Country | Link |
---|---|
NL (1) | NL2010050C2 (en) |
Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4753401A (en) * | 1984-11-14 | 1988-06-28 | Deutsche Forschungs- Und Versuchsanstalt Fur Luft- Und Raumfahrt E.V. | Surface, exhibiting reduced flow resistance, of a body over which turbulent flow takes place |
US4930729A (en) * | 1986-05-22 | 1990-06-05 | Rolls-Royce Plc | Control of fluid flow |
WO2007017290A1 (en) * | 2005-08-10 | 2007-02-15 | Kick Off Ltd. | Turbulence foil |
US20110262705A1 (en) * | 2011-03-30 | 2011-10-27 | General Electric Company Global Research | Microstructures for reducing noise of a fluid dynamic structure |
-
2012
- 2012-12-21 NL NL2010050A patent/NL2010050C2/en not_active IP Right Cessation
Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4753401A (en) * | 1984-11-14 | 1988-06-28 | Deutsche Forschungs- Und Versuchsanstalt Fur Luft- Und Raumfahrt E.V. | Surface, exhibiting reduced flow resistance, of a body over which turbulent flow takes place |
US4930729A (en) * | 1986-05-22 | 1990-06-05 | Rolls-Royce Plc | Control of fluid flow |
WO2007017290A1 (en) * | 2005-08-10 | 2007-02-15 | Kick Off Ltd. | Turbulence foil |
US20110262705A1 (en) * | 2011-03-30 | 2011-10-27 | General Electric Company Global Research | Microstructures for reducing noise of a fluid dynamic structure |
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Legal Events
Date | Code | Title | Description |
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MM | Lapsed because of non-payment of the annual fee |
Effective date: 20170101 |