Open AccessA similarity transformation for inviscid non?Boussinesq gravity currents
Author(s) -
AnCheng Ruo,
F. Chen
Publication year - 2004
Publication title -
acta mechanica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 74
eISSN - 1619-6937
pISSN - 0001-5970
DOI - 10.1007/s00707-004-0184-0
Subject(s) - inviscid flow , gravity current , similarity (geometry) , transformation (genetics) , matrix similarity , similarity solution , current (fluid) , shallow water equations , mechanics , physics , boussinesq approximation (buoyancy) , mathematical analysis , classical mechanics , mathematics , boundary layer , thermodynamics , computer science , heat transfer , partial differential equation , internal wave , biochemistry , chemistry , natural convection , artificial intelligence , rayleigh number , image (mathematics) , gene
Summary. We propose a similarity transformation to investigate the motion of inviscid gravity currents in the similar phase. With this similarity transformation, the shallow water equations can be solved without needing to consider the front condition Eq. (1) downstream of the gravity current, and the parameter β of Eq. (1) becomes a part of the similarity solutions. It is shown that the resultant similarity solutions are in good agreement with the experimental results of both the dam-break and the lock-exchange non-Boussinesq currents, which have a density much larger than the ambient fluid.
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