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Steady flow of a buoyant plume into a constant-density layer

journal contribution
posted on 2023-05-17, 03:10 authored by Hocking, GC, Lawrence ForbesLawrence Forbes
The upward flow of a buoyant plume emanating from a horizontal fissure into a two-layered fluid region is considered. Solutions are computed numerically for a range of fissure widths and water depths. It is shown that for a given fluid depth and fissure size there is a minimum flow rate beneath which no steady solutions exist. At this limiting flow, the fluid detaches from the wall of the fissure via a stagnation point. Solutions exist for all values of flow rate above this minimum. Exact solutions are presented for very large flow rates.

History

Publication title

Journal of Engineering Mathematics

Volume

67

Issue

4

Pagination

341-350

ISSN

0022-0833

Department/School

School of Natural Sciences

Publisher

Kluwer Academic Publ

Place of publication

Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 Gz

Rights statement

The original publication is available at www.springerlink.com

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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