SOME REGULAR PERTURBATION SOLUTIONS IN FLUID-MECHANICS

Authors
SHAIL R
Citation
R. Shail, SOME REGULAR PERTURBATION SOLUTIONS IN FLUID-MECHANICS, Quarterly Journal of Mechanics and Applied Mathematics, 50, 1997, pp. 129-147
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Mechanics,Mathematics
Journal title
Quarterly Journal of Mechanics and Applied Mathematics → ACNP
ISSN journal
00335614
Volume
50
Year of publication
1997
Part
1
Pages
129 - 147
Database
ISI
SICI code
0033-5614(1997)50:<129:SRPSIF>2.0.ZU;2-2
Abstract
In this paper we examine two problems in steady incompressible viscous flow with a view to generating high-order perturbation solutions as r egular expansions in powers of the Reynolds number. Thus, computer-alg ebra techniques are used to study the motions produced (a) by a Landau momentum source placed at the centre of a fluid-filled spherical shel l, and (b) by a rotating sphere in both unbounded and bounded fluids.