Research Article
Nov 1973
Boundary Contractions as Controls in Two-Layer Flows
Publication: Journal of the Hydraulics Division
Volume 99, Issue 11
Abstract
Two-layer flows past contractions under the assumptions here are governed by a vector-matrix equation of the same type. The steady problem can be reduced to a set of two equations, a detailed study of which reveals the correspondence and noncorrespondence between the two layers of contractions. For two-layer flows with bounded upper layer, only the section where the contraction is the severest can act as a control. When the upper layer is free, this is true only with regard to vertical obstructions. Two-layer flows past horizontal contractions with free upper layer can be controlled at two sections—one at the throat and the other away from it. However, when the flow throughout is subcritical with respect to the free surface wave mode—a common situation—vertical and horizontal contractions are equivalent, the only control being at the severest section.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 11 • November 1973
Pages: 2003 - 2012
Copyright
© 1973 American Society of Civil Engineers.
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Published in print: Nov 1973
Published online: Feb 3, 2021
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Authors
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Subhash C. Mehrotra
Postgrad. Res. Engr., Mech. and Struct. Dept., School of Engrg. and Appl. Sci., Univ. of California, Los Angeles, Calif
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