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A note on the propagation speed of a weakly dissipative gravity current

Published online by Cambridge University Press:  15 February 2007

EUGENY V. ERMANYUK  and
NIKOLAI V. GAVRILOV
EUGENY V. ERMANYUK
Affiliation:
Lavrentyev Institute of Hydrodynamics, 630090, Novosibirsk, Russia ermanyuk@hydro.nsc.ru
NIKOLAI V. GAVRILOV
Affiliation:
Lavrentyev Institute of Hydrodynamics, 630090, Novosibirsk, Russia ermanyuk@hydro.nsc.ru
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Abstract

This paper presents an experimental study on the propagation speed of gravity currents at moderate values of a gravity Reynolds number. Two cases are considered: gravity currents propagating along a rigid boundary and intrusive gravity currents. For the first case, a semi-empirical formula for the front propagation speed derived from simple energy arguments is shown to capture well the effect of flow deceleration because of viscous dissipation. In the second case, the propagation speed is shown to agree with the one predicted for energy-conserving virtually inviscid flows (Shin, Dalziel & Linden, J. Fluid Mech. vol. 521, 2004, p. 1), which implies that the losses due to vorticity generation and mixing at the liquid–liquid interface play only a minor role in the total balance of energy.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 574 , 10 March 2007 , pp. 393 - 403
Copyright
Copyright © Cambridge University Press 2007

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