Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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: 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.


References [Enhancements On Off] (What's this?)

  • [1] A. R. Manwell, A method of variation for flow problems--, Q.J.M. (Oxford) 20, 166-189 (1949). MR 0031894
  • [2] A. R. Manwell, Aerofoils of maximum thickness ratio, Q.J.M.A.M. 1, 365 (1948). MR 0028150
  • [3] J. Hadamard, Leçons sur le calcul des variations, Tome 1, Livre 11 Ch. Vii p. 303.
  • [4] M. Schiffer, A method of variation within the family of simple functions, Proc. L.M.S. (2) 44, 432 (1938). MR 1575335

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DOI: https://doi.org/10.1090/qam/43621
Article copyright: © Copyright 1952 American Mathematical Society

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