Lifting foil
A lifting foil for an aircraft, a hydrofoil or the like having a pair of courses or wings. Vortex losses due to spanwise fluid flow are substantially reduced by joining the tips of the courses with flow guides configured for jointly terminating the undesired flows. Termination is effected by providing the flow guides with crossections cambered for reducing the dynamic pressure of fluid flowing in a spanwise direction across flow guide surfaces.
This application is a Continuation-In-Part of application Ser. No. 10/774,865, filed 9 Feb. 2004.
BACKGROUND OF THE INVENTIONThis invention relates generally to the field of fluid dynamics with emphasis on aerodynamic drag phenomena. A particular object of the invention is to reduce energy losses suffered by an aircraft in flight due to induced drag. It is known that this particular type of drag is accompanied by a shedding of vortices from the tips of the wings. It is believed that these vortices result from a spanwise flow of air from a relatively high pressure condition on the lower wing surface to a relatively low pressure condition on the upper wing surface. Similar phenomena occur around hydrofoils employed for underwater use. It might be remarked that air behaves much as a perfect fluid when acting against an airfoil at speeds below about 200 mph and at altitudes below about 100,000 ft. Within that regimen the mathematical tools employed for analysis of airfoils are substantially the same as those for hydrofoils General teachings regarding aircraft drag may be found in classical reference books such as “Foundations of Aerodynamics”, Kuethe and Schetzer,© 1950 by John Wiley & Sons, Inc; “Aerodynamics of a Compressible Fluid”, Liepmann and Puckett,© 1947 by John Wiley & Sons, Inc; “Airplane Performance Stability and Control”, 1949 by Perkins and Hage, publisher John Wiley & Sons, Inc; and in “The Dynamics and Thermodynamics of compressible Fluid Flow”, two volumes by Ascher H. Shapiro, The Ronald Press Company, New York, N.Y., 1953. Reference may also be made to a well known earlier work “Hydrodynamics”, Sir Horace Lamb, 1879, Sixth Ed. by Dover Publications, New York, N.Y., 1945.
The prior art shows numerous techniques for dealing with induced drag, but none are fully satisfactory. Following are some typical examples.
Miranda, U.S. Pat. No. 3,834,654, teaches a box-wing aircraft having a fuselage which is centrally positioned and encircled by six adjoining wing sections.
Wenzel, U.S. Pat. No. 4,146,199 shows an aircraft having a lifting body fuselage surrounded by fore mounted aft swept and aft mounted forward swept wings. The patent describes means for inducing translation of tip-generated vortices.
Wajnikonis, U.S. Pat. No. 4,949,919 discloses hydrofoil families which partially suppress induced vorticity by introducing a longitudinal component of the flow directed by the lifting foil tip towards the hydrofoil base.
Gratzer, U.S. Pat. No. 5,348,253 teaches the attachment of a blended winglet to each wing tip.
Eger U.S. Pat. No. 5,503,352 relates to a box-wing aircraft having wing segment tips connected with arrow-shaped pylons.
Nosenchuck et al. U.S. Pat. No. 5,492,289 has a perturbation proximate to the tip end of the wing planform trailing edge.
McCarthy U.S. Pat. No. 5,634,613 generates beneficial wing tip vortices which are said to rotate in a direction opposite to that of induced drag vortices. The patent asserts that the beneficial vortices create upwash fields which neutralize induced drag. The reference discusses numerous other references dated earlier than 1994.
Frediani U.S. Pat. No. 5,899,409 discloses a large passenger plane having a pair of rearwardly swept wings arranged in tandem with a pair of forwardly swept wings.
Vanmoor U.S. Pat. No. 6,095,457 teaches an airfoil which is reversely curved in accordance with a trigonometric function.
Meschino U.S. Pat. No. 6,340,134 B1 shows an aircraft having a drag reduction system which includes a high aspect ratio, supplementary wing for providing at least 65% of the total lift.
The main wing provides structural integrity.
Carlow U.S. Pat. No. 6,474,604 B1 teaches a mobius-like joining structure which is said to reduce vortex-induced drag on a foil.
Huenecke U.S. Pat. No. 6,513,761 B2 discloses the use of vortex generators at the trailing edge of each wing for partly dissipating the vortices responsible for induced drag,
Cox et al. U.S. Pat. No. 6,626,398 B1 teaches an unmanned reconnaissance biplane having staggered and gapped wings.
While much has been accomplished by others in reducing drag losses of lifting foils, much still remains to be done. It is an undeniable fact that commercial and governmental air transportation expenditures are very high and are steadily increasing . These costs ultimately are passed on to an already overburdened public A substantial proportion of that expenditure pays for fuel which is burned in overcoming induced drag. Even small reductions in that drag may have the potential to create enormous savings for the public.
SUMMARY OF THE INVENTIONThis invention provides a novel lifting foil configured generally in the form of an endless band having a plurality of exposed surfaces which meet at common boundary lines. The lifting foil comprises a generally horizontal upper course, a generally horizontal lower course parallel to and spaced apart from the upper course and a pair of opposed, vertically extending flow guides. A first one of these flow guides joins a first end of the upper course to a corresponding first end of the lower course, while a second flow guide joins a second end of the upper course to a corresponding second end of the lower course.
The joinder of the upper and lower courses to the flow guides occurs at four margins, referred to herein as an upper starboard margin, an upper port margin, a lower starboard margin and a lower port margin. The flow guides are blended into the courses at those margins so as to avoid discontinuities in the fluid flow across the inner and outer surfaces of the foil. In the use of the invention a working fluid, such as water or air, flows from fore to aft through a large central passage, where it exerts dynamic pressure outwardly against an exposed first surface of the foil. The working fluid also flows around the exterior of the foil, exerting dynamic pressure inwardly against a second surface thereof. The region between the first and second surfaces defines a cambered lifting body which reacts to the dynamic pressure on its first and second surfaces by generating a net upwardly directed lifting force. Preferably the lifting foil has a third surface for dividing the large central passage into a pair of smaller, spaced apart, passages having generally elliptical crossections and a fuselage therebeween.
The flow guides are designed to avoid generation of spanwise fluid flow by balancing the pressure at the upper starboard margin against the pressure at the lower starboard margin, and concomitantly balancing the pressure at the upper port margin against the pressure at the lower port margin. Preferably the pressure balancing is accomplished by configuring the starboard flow guides to have a cross section which will reduce a dynamic pressure from a maximum value at the upper starboard margin to a midpoint value of zero, while simultaneously increasing the dynamic pressure from a midpoint value of zero to a maximum value at the lower starboard margin. A similar process is carried out on the port side of the foil.
The lifting foil is unexpectedly stable and easily controllable in flight. It is believed that the performance of the foil is due , at least in part, to the tendency of the flow guides to stabilize the dynamic pressure at the ends of the upper and lower courses. This reduces the flow of fluid in the spanwise direction and makes the courses behave in the manner expected for 2-dimensional lifting bodies. It is believed that a lifting foil in accordance with the present invention enjoys reduced spanwise fluid flow and that this in turn eliminates, or at least substantially reduces, the generation of drag-producing vortices
It is therefore an object of the present invention to provide an apparatus and method for improving the dynamic performance of a lifting foil.
It is another object of the invention to reduce induced drag vortices to zero.
A further object of the invention is to reclaim vortex energy while reducing tailplane aerodynamic balancing drag to zero.
A still further object of the invention is to increase lift with no substantial drag penalty.
Other objects of the invention are to increase lift and decrease drag for very low speed flight, to reduce spanwise fluid flow in a lifting foil, to decrease aircraft drag and improve aircraft stability, as well as other and further objects and advantages as will be apparent from the following description, the accompanying drawings and the appended claims.
BRIEF DESCRIPTION OF THE DRAWING
A preferred embodiment of the subject invention may have a form as generally illustrated by lifting foil 10 in
Lifting foil 10 comprises four basic elements, blended end-to-end to form a closed loop surrounding an open interior These elements are an upper course 14, a lower course 15, a starboard flow guide, 16 and a port flow guide 18. Upper course 14 is positioned generally in an X-Y plane and has an upper starboard margin 52 and an upper port margin 54. Lower course 15 is geometrically similar to upper course 14 and is situated parallel thereto. Lower course 15 has a lower starboard margin 56 and a lower port margin 58. Margins 52, 54, 56, and 58 are best shown by phantom lines in
Preferably upper course 14 is rearwardly offset by a distance AX from lower course 15, as illustrated in
Upper course 14 may be swept rearward, and lower course 15 may be swept forward. If lifting foil 10 happens to be an aircraft, then it may be desirable to incorporate a fuselage 20 into the structure. As illustrated in
Lifting foil 10 has four boundary lines 31, 32, 33 and 34 as illustrated in
Lifting foil 10. has a starboard flow passage 22 and a port flow passage 24, as best illustrated in
q= 1/2 ρ V2
where:
ρ is the density of the fluid, and
V is the fluid velocity.
Lifting foil 10 experiences a net force having a magnitude and direction depending upon the size of its wetted area and the variations in dynamic pressure thereacross.
F=Σq ΔA
where ΔA is an elemental area wetted by the fluid.
The vertical component of the vector F is the lift.
Still referring to
As indicated previously, the inboard boundaries of starboard flow guide 16 are delineated by upper starboard margin 52 and lower starboard margin 56. These two margins are shown schematically in
Starboard and port flow guides 16, 18 create blended bridges between upper course 14 and lower course 15. And while their operation is not yet fully understood, it is believed that Starboard and port flow guides 16, 18 connect courses 14, 15 together in such a way as to cause each to function as a terminator for the other. It appears that they provide equalizing fluid flows which balance out spanwise pressure variations, thereby making courses 14, 15 behave like virtual two-dimensional wings. However, regardless of the precise process taking place within starboard and port flow guides 16, 18, the lifting foil of this invention inherently obtains remarkable results, as hereinafter described.
The operation of flow guide 16 is explained diagrammatically in
It is desired to produce substantially uniform lift along the lengths of courses 14, 15 between their respective margin pairs. It is also desired to have that lift drop substantially to zero at the course margins. Those desires substantially are met by placing flow guides 16, 18 between courses 14, 15, at margins 52, 54, 56 and 58 as described above. The flow guides have cambered crossections which provide lift ranging from a maximum value down to a minimum value, preferably zero, and then increasing from the minimum value back to the maximum. The maximum value for the lift is the same as the value of the lift at margins 52, 54, 56 and 58 of courses 14, 15. For present purposes it should be understood that the term “lift” is being used loosely as a shorthand for “lift per unit span”.
Referring now to
It will be observed that the underside of lifting foil 10 is keel-shaped, extending symmetrically upward at an angle “b” on both sides of a baseline extending in the X-direction through reference point 12. This provides a small dihedral for minimizing adverse effects of sideslip. For an embodiments as illustrated in
Cross sections of lifting foil 10 which are taken across the Y-Z plane have a generally elliptical appearance, as illustrated in
There are a number of ways of specifying the ellipticity of a closed line. For present purposes it is convenient to use the major-axis/minor-axis ratio. Referring now to
It has been found that the lifting foil performs best when the major-axis/minor-axis ratio is around 3.0. Maximum and minimum values are about 10.5 and 1.6 respectively. The region occupied by ellipses within that range is cross-hatched in
Key performance parameters for an hypothetical lifting foil according to my invention have been calculated with the aid of a digital computer. The computer ran a simplified program. employing a well known procedure which models a cambered lifting foil as a series of panels, or flat plates at varying angles of attack The same program was run for a typical prior art standard wing of the same span and area. The resulting data are plotted in
-
- 102 Lift Coefficient (This Invention)
- 103 Lift Coefficient (Standard Wing)
- 104 Drag Coefficient (Same for both)
- 105 Moment Coefficient (This Invention)
- 106 Stability Coefficient (This Invention)
- 107 Span Efficiency (This Invention)
- 108 Span Efficiency (Standard Wing)
Referring now to
It will be appreciated that this invention has application to a number of significantly different situations where fluid drag is encountered; for example to fixed wing aircraft, rotary wing aircraft, submarines and hydrofoils. Those skilled in the art will understand that many modifications may be made to structures, materials, proportions, arrangements, components and methods described herein, without departing from the scope of the invention claimed below.
Claims
1. The method of reducing spanwise flow of a fluid medium along the surface of a lifting foil, while said lifting foil is immersed in said fluid medium and moving therethrough in a direction perpendicular to the direction of said spanwise flow, said method comprising the steps of:
- (1) generating a second flow of said fluid medium, and
- (2) directing said second flow of said fluid reversely against said first named spanwise flow, so that said first and second spanwise flows are substantially balanced against each other.
2. A method according to claim 1 wherein said second flow of said fluid is generated by means of a second lifting foil positioned alongside said first named lifting foil.
3. A method according to claim 2 wherein said directing is achieved by end-to-end joining of said first and second lifting foils.
4. In a lifting foil having an upper course extending sideward between an upper starboard end and an upper port end, and a lower course extending sideward between a a lower starboard end situated opposite a lower port end; said courses being immersed in a fluid medium and in relative movement therewith in a first direction, X; the method of reducing spanwise flow of said fluid in a second direction, Y, perpendicular to X comprising the steps of:
- (1) constructing a starboard flow guide comprising an upper section, a mid-section disposed alongside said upper section and a lower section disposed alongside said mid-section, opposite said upper section,
- (2) attaching said starboard flow guide between the starboard ends of said upper and lower courses by blended connection therewith,
- (3) constructing a port flow guide comprising an upper section, a mid-section disposed alongside said upper section and a lower section disposed alongside said mid-section, opposite said upper section, and
- (4) attaching said port flow guide between the port ends of said upper and lower courses by blended connection therewith,
5. A method according to claim 4 wherein said flow guides have cambered surfaces configured for reducing dynamic pressures from maximum values at said upper and lower sections to minimum values at said mid-sections.
6. A method according to claim 5 wherein said minimum values at said mid-sections are substantially zero.
7. A method of suppressing vortices at tips of upper and lower biplane wings comprising the steps of:
- (1) collecting fluid flowing spanwise at said tips, and
- (2) directing collected fluid to common termination points between adjacent wing tips.
8. Method of vortex suppression according to claim 7 further comprising the step of progressively reducing the dynamic pressure of fluid being directed to said termination points.
Type: Application
Filed: Oct 18, 2005
Publication Date: May 4, 2006
Inventor: Ronald Houck (Beavercreek, OH)
Application Number: 11/252,497
International Classification: B64C 23/06 (20060101);