Two‐layer flows past a semicircular obstruction
作者:
Huyun Sha,
J.‐M. Vanden‐Broeck,
期刊:
Physics of Fluids A
(AIP Available online 1993)
卷期:
Volume 5,
issue 11
页码: 2661-2668
ISSN:0899-8213
年代: 1993
DOI:10.1063/1.858729
出版商: AIP
数据来源: AIP
摘要:
The flow past a semicircular cylinder at the bottom of a channel is considered. The channel is of finite vertical extent and of infinite horizontal extent. The fluid consists of two layers of constant densities. Both viscosity and surface tension are neglected. It is assumed that the flow is symmetric with respect to a vertical line through the center of the circular cross section and uniform in each layer at infinity. An integrodifferential equation for the unknown shape of the interface is derived, discretized, and solved numerically using Newton’s method. It is shown that there are flows that are perturbations of uniform streams and others that are perturbations of solitary waves. Progression along the various branches of solutions produce two different types of limiting configurations. One is characterized by an infinite broadening in the horizontal direction and the other by overhanging interfacial profiles.
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