✦ LIBER ✦

A widely applicable type of variational integral—II: Newtonian flow past a sphere

✍ Scribed by R.W. Flumerfelt; J.C. Slattery

Publisher: Elsevier Science
Year: 1965
Tongue: English
Weight: 575 KB
Volume: 20
Category: Article
ISSN: 0009-2509
DOI: 10.1016/0009-2509(65)85009-6

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✦ Synopsis

The auxiliary variational method presented in the previous paper is applied to the solution of the steady-state flow of an incompressible Newtonian fluid past a sphere. The variational method is used to evaluate unknown coefficients in an initially postulated stream function. A number of solutions, each containing a different number of unknown coefficients in the initially assumed stream function, are obtained; results are presented as drag coefficients. The approximate solutions obtained here demonstrate the feasibility of this method applied to two-and three-dimensional flow problems in which inertial effects must be considered. It is shown that this approach compares favorably with previously described methods.

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