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Modelling Bidispersive Local Thermal Non-Equilibrium Flow

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

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Franca Franchi

Roberta Nibbi

Brian Straughan


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


Franchi, F., Nibbi, R., & Straughan, B. (2017). Modelling Bidispersive Local Thermal Non-Equilibrium Flow. Fluids, 2(3), Article 48.

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


Published Journal Article (239 Kb)

Publisher Licence URL

Copyright 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).

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