UNSTEADY SEPARATION FOR STOKES FLOWS IN 2-DIMENSIONS

Authors
Citation
Sh. Smith, UNSTEADY SEPARATION FOR STOKES FLOWS IN 2-DIMENSIONS, Physics of fluids. A, Fluid dynamics, 5(5), 1993, pp. 1095-1104
Citations number
15
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
ISSN journal
08998213
Volume
5
Issue
5
Year of publication
1993
Pages
1095 - 1104
Database
ISI
SICI code
0899-8213(1993)5:5<1095:USFSFI>2.0.ZU;2-K
Abstract
Some simple solutions are presented to the unsteady Stokes flow equati ons which describe the development of the slow viscous flow due to a l ine rotlet. Four different geometries are considered, with the rotlet (a) in front of a plane wall, (b) inside a circular cylinder, (c) outs ide a circular cylinder, (d) between two parallel walls; also, the dev elopment is considered (i) after the impulsive introduction of a poten tial vortex, and (ii) after the impulsive introduction of a line sourc e of angular momentum. Separation occurs in all these situations, and one is able to trace the movement of the separation points, and the fo rmation of eddies, for different times. A number of distinctive physic al phenomena are detected.