Author(s)

T.B. Moodie & N. Antar

Abstract

We extend hydraulic theory to include nonhydrostatic effects that may be present in compositionally-driven, fixed-volume gravity current releases in rectangular geometry. Unlike past attempts to include these effects that arise in flow problems when, say, interface deflections are not small we will work in the time-dependent domain, avoid layer averaging, and make no assumptions on the amplitudes of disturbances . An asymptotic development of the Euler equations in terms of the small parameter δ2, where δ is the aspect ratio of the flow, is carried out and model equations obtained at leading and first orders. The leading order model enforces hydrostatic balance whereas the first order model accounts for nonhydrostatic effects in the flow. Similarity solutions ar

Keywords