A method of variation for flow problems. II
Author:
A. R. Manwell
Journal:
Quart. Appl. Math. 9 (1952), 405-412
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/43621
MathSciNet review:
43621
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: The method of variation of reference [1] is developed afresh in a slightly different manner which enables the main principle used in [1] to be derived directly and also makes the actual calculations much simpler. It is shown how a variety of problems concerning aerofoils possessing minimal properties may be reduced to the solution of integro-differential equations which determine the mapping of the aerofoil onto a circular region. It is briefly indicated how the method may be extended to three dimensional flows.
- A. R. Manwell, A method of variation for flow problems. I, Quart. J. Math. Oxford Ser. 20 (1949), 166–189. MR 31894, DOI https://doi.org/10.1093/qmath/os-20.1.166
- A. R. Manwell, Aerofoils of maximum thickness ratio for a given maximum pressure coefficient, Quart. J. Mech. Appl. Math. 1 (1948), 365–375. MR 28150, DOI https://doi.org/10.1093/qjmam/1.1.365
J. Hadamard, Leçons sur le calcul des variations, Tome 1, Livre 11 Ch. Vii p. 303.
- Menahem Schiffer, A Method of Variation Within the Family of Simple Functions, Proc. London Math. Soc. (2) 44 (1938), no. 6, 432–449. MR 1575335, DOI https://doi.org/10.1112/plms/s2-44.6.432
A. R. Manwell, A method of variation for flow problems—, Q.J.M. (Oxford) 20, 166-189 (1949).
A. R. Manwell, Aerofoils of maximum thickness ratio, Q.J.M.A.M. 1, 365 (1948).
J. Hadamard, Leçons sur le calcul des variations, Tome 1, Livre 11 Ch. Vii p. 303.
M. Schiffer, A method of variation within the family of simple functions, Proc. L.M.S. (2) 44, 432 (1938).
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76.1X
Retrieve articles in all journals
with MSC:
76.1X
Additional Information
Article copyright:
© Copyright 1952
American Mathematical Society
