Modelling Bidispersive Local Thermal Non-Equilibrium Flow

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

doi:10.3390/fluids2030048

Modelling Bidispersive Local Thermal Non-Equilibrium Flow

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

Authors

Franca Franchi

Roberta Nibbi

Brian Straughan

Abstract

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

Citation

Franchi, F., Nibbi, R., & Straughan, B. (2017). Modelling Bidispersive Local Thermal Non-Equilibrium Flow. Fluids, 2(3), Article 48. https://doi.org/10.3390/fluids2030048

Journal Article Type	Article
Acceptance Date	Sep 13, 2017
Online Publication Date	Sep 18, 2017
Publication Date	Sep 18, 2017
Deposit Date	Jan 5, 2018
Publicly Available Date	Jan 5, 2018
Journal	Fluids
Publisher	MDPI
Peer Reviewed	Peer Reviewed
Volume	2
Issue	3
Article Number	48
DOI	https://doi.org/10.3390/fluids2030048

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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).