A similarity transformation for inviscid non-Boussinesq gravity currents
Journal
Acta Mechanica
Journal Volume
173
Journal Issue
1-4
Pages
33-40
Date Issued
2004
Author(s)
Ruo, A.-C.
Abstract
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.
SDGs
Type
journal article