Boundary Contractions as Controls in Two-Layer Flows

by Subhash C. Mehrotra, Postgrad. Res. Engr.; Mech. and Struct. Dept., School of Engrg. and Appl. Sci., Univ. of California, Los Angeles, CA,

Serial Information: Journal of the Hydraulics Division, 1973, Vol. 99, Issue 11, Pg. 2003-2012

Document Type: Journal Paper


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.

Subject Headings: Surface waves | Domain boundary | Hydraulic contraction | Flow control | Free flow | Subcritical flow | Professional societies | Advection

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