Effect of inertia on double diffusive bidispersive convection

•The effect of inertia upon bidispersive convection in a porous medium, considering thermal and salt effects is analysed.•The instability mechanism for the onset of convective fluid motion is analysed in detail.•It is shown that the double porosity structure of the porous medium coupled with the str...

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Bibliographic Details
Published inInternational journal of heat and mass transfer Vol. 129; pp. 389 - 396
Main Author Straughan, B.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.02.2019
Elsevier BV
Subjects
Acceleration
Coefficients
Convection
Dispersion
Fluid dynamics
Inertia
Porous materials
Rayleigh number
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Summary:•The effect of inertia upon bidispersive convection in a porous medium, considering thermal and salt effects is analysed.•The instability mechanism for the onset of convective fluid motion is analysed in detail.•It is shown that the double porosity structure of the porous medium coupled with the strength of the inertia has a very strong effect on the threshold of transition to instability. Convection thresholds in a saturated bidisperse porous material are calculated in the presence of a non-zero coefficient of inertia, the acceleration coefficient, for the fluid velocity in the macro pores. We concentrate on the case where the layer is heated from below and simultaneously salted from below. The effect of increasing the size of the acceleration coefficient is generally to increase the critical Rayleigh number above which convective motion commences, although the precise values depend on the interaction coefficient between the micro and macro pores, the porosities, and the Lewis number.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2018.09.090