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Online ISSN 1552-4485; Print ISSN 0033-569X
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
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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
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Article copyright:
© Copyright 1952
American Mathematical Society