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Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law

Straughan, Brian

Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law Thumbnail


Authors

Brian Straughan



Abstract

We investigate thoroughly a model for thermal convection of a class of viscoelastic fluids in a porous medium of Brinkman–Darcy type. The saturating fluids are of Kelvin–Voigt nature. The equations governing the temperature field arise from Maxwell–Cattaneo theory, although we include Guyer–Krumhansl terms, and we investigate the possibility of employing an objective derivative for the heat flux. The critical Rayleigh number for linear instability is calculated for both stationary and oscillatory convection. In addition a nonlinear stability analysis is carried out exactly.

Citation

Straughan, B. (in press). Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law. Annali dell'Universita di Ferrara, https://doi.org/10.1007/s11565-022-00448-z

Journal Article Type Article
Acceptance Date Sep 20, 2022
Online Publication Date Oct 6, 2022
Deposit Date Dec 21, 2022
Publicly Available Date Dec 21, 2022
Journal ANNALI DELL'UNIVERSITA' DI FERRARA
Print ISSN 0430-3202
Electronic ISSN 1827-1510
Publisher Springer
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1007/s11565-022-00448-z

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http://creativecommons.org/licenses/by/4.0/

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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