Topical Problems of Fluid Mechanics


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Institute of Thermomechanics AS CR, v.v.i. CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics MIO Université du Sud Toulon Var - AMU - CNRS - IRD Czech Pilot centre ERCOFTAC
On Gravity Currents over a Porous Floor in Power-Law Cross-Section Channels

Zemach T.

Abstract:
The behavior of an inviscid gravity current which propagates over a horizontal porous floor in containers of power-law cross section (CS) is analysed by shallow-water theory. It is shown that the effect of the porous boundary can be incorporated by means of a parameter which represents the ratio of the characteristic time of porous drainage to that of horizontal spread. The interesting cases correspond to small values of λ, otherwise the current has drained before any signifficant propagation can occur. Typical solutions are presented for various values of the parameters and differences to the non-porous boundary currents are pointed out. The methodology is illustrated for flow in typical power-law CS containers f(z) = 0.5 + 0.5z^α where α is positive constant.

Keywords:
gravity currents, shallow-water, porosity
Fulltext: PDF
DOI: https://doi.org/10.14311/TPFM.2020.033
In Proceedings Topical Problems of Fluid Mechanics 2020, Prague, 2020 Edited by David Šimurda and Tomáš Bodnár, pp. 256-267
ISBN 978-80-87012-74-1 (Print)
ISSN 2336-5781 (Print)
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