Arbitrary Stokes flow past a porous sphere
type: Item
instance of: scholarly article
title: Arbitrary Stokes flow past a porous sphere
zbMATH Open document ID: 0785.76019
DOI: 10.1016/0093-6413(93)90044-O
author: D. Palaniappan
published in: Mechanics Research Communications
publication date: 1994-04-28T00:00:00Z
review text: The flow fields interior to a porous sphere (where Darcy law holds) and exterior to it (Stokes flow region) are solved for the case when the velocity profile at a large distance is quite arbitrary. We use the velocity representation of Stokes equations which is due to the author, \textit{S. D. Nigam}, \textit{T. Amaranath} and \textit{R. Usha} [Q. J. Mech. Appl. Math. 45, No. 1, 47-56 (1992; Zbl 0754.76018)] together with the boundary conditions of \textit{I. P. Jones} [Proc. Cambridge philos. Soc. 73, 231-238 (1973; Zbl 0262.76061)]. The expressions for velocity fields (both interior and exterior) are given explicitly. The Faxen's laws for a porous sphere are derived and the limiting cases of rigid and shear-free (bubble) spheres are then deduced.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 474574
zbMATH Keywords: rigid sphere
zbMATH Keywords: shear-free sphere
zbMATH Keywords: Darcy law
zbMATH Keywords: velocity representation
zbMATH Keywords: boundary conditions
zbMATH Keywords: Faxen's laws
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 474574