Double diffusive convection in porous media under the action of a magnetic field
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The onset of thermal convection in an electrically conducting fluid saturating a porous medium, uniformly heated from below, salted by one chemical and embedded in an external transverse magnetic field is analyzed. The critical Rayleigh thermal numbers at which steady and Hopf convection can occur, are determined. Sufficient conditions guaranteeing the effective onset of convection via steady or oscillatory state are provided.
KeywordsPorous convection Magnetic field Double-diffusive convection Routh–Hurwitz conditions Stability
Mathematics Subject Classification76S05 76E06 76W05
This paper has been performed under the auspices of G.N.F.M. of INdAM. One of the authors (R. De Luca) acknowledges Progetto Giovani GNFM 2017 “Analisi dei sistemi biologici complessi”. The Authors should like to thank an anonymous referee for suggestions which have led to improvements in the manuscript.
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