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On a solution of the Lavrentiev wake model and its cascade

Published online by Cambridge University Press:  11 April 2006

Anching Lin  and
Louis Landweber
Anching Lin
Affiliation:
University of Utah, Salt Lake City
Louis Landweber
Affiliation:
Institute of Hydraulic Research, University of Iowa, Iowa City
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Abstract

A Lavrentiev model of the flow about a blunt two-dimensional body with a separation bubble is considered. Physical bases of the model are discussed in relation to other wake models. The Lavrentiev wake bubble contains a pair of closed free streamlines enclosing the regions of vorticity. It is shown, by means of conformal mapping, that the complex potential can be expressed in terms of elliptic functions, and a one-parameter family of exact solutions has been constructed for a normal flat plate and truncated wedges, for both an unbounded and a bounded stream. A procedure for relating the value of the parameter to the Reynolds number of the real fluid flow is indicated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 4 , 23 March 1977 , pp. 801 - 823
Copyright
© 1977 Cambridge University Press

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