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Transport in Porous Media, Vol.100, No.3, 363-375, 2013
Thermal Convection in a Cattaneo-Fox Porous Material with Guyer-Krumhansl Effects
The Guyer-Krumhansl equation is coupled with the Cattaneo-Fox law for the temperature and heat flux fields to study thermal convection in a fluid-saturated Darcy porous material. In particular the effects of the Guyer-Krumhansl terms on oscillatory convection are studied. It is found that for a certain range of the Guyer-Krumhansl coefficient stationary convection occurs while changing the range results in oscillatory convection. Numerical results quantify this effect.
Keywords:Convection in porous material;Darcy model;Guyer-Krumhansl theory;Cattaneo heat flux;Oscillatory convection.