Stokes flow past a slightly deformed fluid sphere
type: Item
instance of: scholarly article
title: Stokes flow past a slightly deformed fluid sphere
zbMATH Open document ID: 0632.76040
DOI: 10.1007/BF00953677
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: The Stokes flow due to the translation of a spherical fluid particle in an unbounded fluid medium has been investigated independently by Rybczynski and Hadamard. However, there are cases when the droplets are not perfectly spherical and it is to this situation that we now adress ourselves. In this note the problem of symmetrical flow past a fluid spheroid whose shape varies slightly from that of a sphere, is examined. Explicit expressions are obtained for both the external and internal flow fields to the first order in the small parameter characterizing the deformation. As a particular case, we consider the flow past an oblate spheroidal fluid particle and determine the drag experienced by it. Special well-known cases are then deduced.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4029118
zbMATH Keywords: axisymmetric incompressible creeping flow
zbMATH Keywords: Stokes flow
zbMATH Keywords: translation of a spherical fluid particle
zbMATH Keywords: unbounded fluid medium
zbMATH Keywords: symmetrical flow past a fluid spheroid
zbMATH Keywords: internal flow
author: H. Ramkissoon
MaRDI profile type: Publication
cites work: Q3753663
cites work: The Stokes flow problem for a class of axially symmetric bodies
description: scientific article; zbMATH DE number 4029118