Viscoelastic bidispersive convection with a Kelvin–Voigt fluid

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

doi:10.1007/s00161-025-01372-1

Viscoelastic bidispersive convection with a Kelvin–Voigt fluid

Franchi, Franca; Nibbi, Roberta; Straughan, Brian

Authors

Franca Franchi

Roberta Nibbi

Brian Straughan

Abstract

We develop a theory for thermal convection in a double porosity material of Brinkman–Forchheimer type when there is a single temperature. The saturating fluid is one of Kelvin–Voigt type, and the equation for the temperature is one due to C.I. Christov. It is shown that the global nonlinear stability threshold coincides with the linear stability one. A thoroughly analytical discussion of both linear instability analysis and global nonlinear energy stability is provided. Numerical results show that the relative permeability and Brinkman viscosity between the macro and micro pores are key parameters which play a dominant role in determining the critical Rayleigh number for the onset of convective motions.

Citation

Franchi, F., Nibbi, R., & Straughan, B. (2025). Viscoelastic bidispersive convection with a Kelvin–Voigt fluid. Continuum Mechanics and Thermodynamics, 37(2), Article 36. https://doi.org/10.1007/s00161-025-01372-1

Journal Article Type	Article
Acceptance Date	Feb 19, 2025
Online Publication Date	Mar 8, 2025
Publication Date	Mar 1, 2025
Deposit Date	Mar 17, 2025
Publicly Available Date	Mar 19, 2025
Journal	Continuum Mechanics and Thermodynamics
Print ISSN	0935-1175
Electronic ISSN	1432-0959
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	37
Issue	2
Article Number	36
DOI	https://doi.org/10.1007/s00161-025-01372-1
Keywords	Kelvin–Voigt equations, Christov heat law, Brinkman–Forchheimer convection, Linear and nonlinear stability, Bidispersive porous media
Public URL	https://durham-repository.worktribe.com/output/3714570

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