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Bidispersive thermal convection.

Gentile, M. and Straughan, B. (2017) 'Bidispersive thermal convection.', International journal of heat and mass transfer., 114 . pp. 837-840.


We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. It is important to note that we show that the linear instability threshold is the same as the nonlinear stability one. This means that the linear theory is capturing completely the physics of the onset of thermal convection. This result contrasts with the general theory of thermal convection in a bidispersive porous material where the temperatures in the macropores and micropores are allowed be different. In that case the coincidence of the stability boundaries has not been proved.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:22 June 2017
Date deposited:22 March 2018
Date of first online publication:04 July 2017
Date first made open access:04 July 2018

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