Rayleigh–Taylor instability of classical diffusive density profiles for miscible fluids in porous media: a linear stability analysis
Tóm tắt
A Rayleigh–Taylor instability typically develops when a denser layer overlies a less dense one in the gravity field. In that case, the initial base state density profile is a step function for which linear stability analysis results are well known. We investigate here analytically the linear stability analysis of other classical diffusive density profiles for porous media flows. We find that, for a species A initially distributed in the upper half of the domain with an initial concentration profile of
$$(-X)^m$$
for
$$0
Tài liệu tham khảo
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