Nonhydrostatic Effects In Gravity Currents
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
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