The design of two-dimensional aerofoils with mixed boundary conditions
Author:
L. C. Woods
Journal:
Quart. Appl. Math. 13 (1955), 139-146
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/68973
MathSciNet review:
68973
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Abstract: A method is given of designing two-dimensional symmetrical aerofoils in subsonic compressible flow when the boundary conditions are mixed. The aerofoil surface is divided into three parts such that the shape is prescribed in the first and third and the pressure distribution is specified in the second. The method has the advantage over the usual method of aerofoil design (pressure distribution given over the whole aerofoil surface) of giving the designer direct control of the nose shape and the trailing edge angle.
M. J. Lighthill, A new method of two-dimensional aerodynamic design, British Aero. Res. Council R. & M. 2112 (1945)
- L. C. Woods, Aerofoil design in two-dimensional subsonic compressible flow, Aero. Res. Council, Rep. and Memo 1952 (1952), no. 2845, 54 pp. (1956). MR 0079463
- L. C. Woods, Compressible subsonic flow in two-dimensional channels with mixed boundary conditions, Quart. J. Mech. Appl. Math. 7 (1954), 263–282. MR 65340, DOI https://doi.org/10.1093/qjmam/7.3.263
- L. C. Woods, The application of the polygon method to the calculation of the compressible subsonic flow round two-dimensional profiles, Ministry of Supply [London], Aeronaut. Res. Council, 1953. Current Papers no. 115,. MR 0059130
- Garrett Birkhoff, Hydrodynamics. A Study in Logic, Fact, and Similitude, Princeton University Press, Princeton, N. J., 1950. MR 0038180
- Th. von Kármán, Compressibility effects in aerodynamics, J. Aeronaut. Sci. 8 (1941), 337–356. MR 5848
M. J. Lighthill, A new method of two-dimensional aerodynamic design, British Aero. Res. Council R. & M. 2112 (1945)
L. C. Woods, Aerofoil design in two-dimensional subsonic flow, British Aero. Res. Council R. & M. 2845 (1952)
L. C. Woods, Compressible subsonic flow in two-dimensional channels with mixed boundary conditions, to be published shortly in the Quart. J. Mech. and Appl. Math.
L. C. Woods, The application of the polygon method to the calculation of the compressible subsonic flow round two-dimensional profiles, British Aero. Res. Council Current Paper No. 115 (1952)
G. Birkhoff, Hydrodynamics: A study in logic, fact and similitude, Princeton University Press, 1950
Th. von Kármán, Compressibility effect in aerodynamics, J. Aero. Sci. 8, No. 9 (1941)
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Article copyright:
© Copyright 1955
American Mathematical Society
