THE ROTATION OF 2 CIRCULAR-CYLINDERS IN A VISCOUS-FLUID

Authors
Citation
Ej. Watson, THE ROTATION OF 2 CIRCULAR-CYLINDERS IN A VISCOUS-FLUID, Mathematika, 42(83), 1995, pp. 105-126
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00255793
Volume
42
Issue
83
Year of publication
1995
Part
1
Pages
105 - 126
Database
ISI
SICI code
0025-5793(1995)42:83<105:TRO2CI>2.0.ZU;2-D
Abstract
In earlier treatments of the title problem it was found that it is imp ossible, in general, to obtain solutions of Stokes's equations of slow viscous flow in which the fluid velocity vanishes at infinity. It is shown here that the paradox can be resolved by the introduction of a r esultant force on the cylinders. This enables the solution to be match ed to an outer solution of the full Navier-Stokes equations.