The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow
作者:
D. W. Moore,
P. G. Saffman,
S. Tanveer,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1988)
卷期:
Volume 31,
issue 5
页码: 978-990
ISSN:0031-9171
年代: 1988
DOI:10.1063/1.866718
出版商: AIP
数据来源: AIP
摘要:
Steady, inviscid, incompressible, two‐dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right‐angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech.35, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist.
点击下载:
PDF
(1247KB)
返 回