SLOW MOTION OF A BODY IN A FLUID OF 2ND GRADE

Authors
GALDI GP RAJAGOPAL KR
Citation
Gp. Galdi et Kr. Rajagopal, SLOW MOTION OF A BODY IN A FLUID OF 2ND GRADE, International journal of engineering science, 35(1), 1997, pp. 33-54
Citations number
29
Categorie Soggetti
Engineering
Journal title
International journal of engineering science → ACNP
ISSN journal
00207225
Volume
35
Issue
1
Year of publication
1997
Pages
33 - 54
Database
ISI
SICI code
0020-7225(1997)35:1<33:SMOABI>2.0.ZU;2-V
Abstract
In this paper, we study the slow motion of a body in an incompressible homogeneous fluid of second grade. We prove that there exists an uniq ue solution to the equations of motion for the fluid of second grade, wherein the inertial terms are ignored. In particular, we show that if no body forces are acting on the fluid and if the velocity is suffici ently small, then the solution coincides with the classical Stokes' so lution. Copyright (C) 1996 Elsevier Science Ltd.