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Modelling bidispersive local thermal non-equilibrium flow.

Franchi, Franca and Nibbi, Roberta and Straughan, Brian (2017) 'Modelling bidispersive local thermal non-equilibrium flow.', Fluids., 2 (3). p. 48.


In this work, we present a system of equations which describes non-isothermal flow in a bidispersive porous medium under conditions of local thermal non-equilibrium. The porous medium consists of macro pores, and in the solid skeleton are cracks or fissures which give rise to micro pores. The temperatures in the solid skeleton and in the fluids in the macro and micro pores are all allowed to be independent. After presenting the general model, we derive a result of universal stability, which guarantees exponential decay of the solution for all initial data. We further present a concrete example by specializing the model to the problem of thermal convection in a layer heated from below

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Publisher statement:This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
Date accepted:13 September 2017
Date deposited:05 January 2018
Date of first online publication:18 September 2017
Date first made open access:05 January 2018

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