Work

Viscoelastic bidispersive convection with a Kelvin–Voigt fluid

Year: 2025

Type: article

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.

Source: Continuum Mechanics and Thermodynamics

DOI: 10.1007/s00161-025-01372-1

Authors: Franca Franchi, Roberta Nibbi, Brian Straughan

Institutions: University of Bologna, Durham University

Language: English

Topic: Heat and Mass Transfer in Porous Media

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Leverhulme Trust