Abstract
A theory is developed for thermal convection in a fluid saturated porous material when the temperature may propagate as a thermal wave. In particular, we are interested in the mechanism of thermal oscillation and so allow for Guyer–Krumhansl effects but employ a heat flux equation developed by Christov and Morro. The instability mechanism is investigated in complete detail and it is shown that stationary convection is likely to prevail under normal terrestrial conditions, but if the thermal relaxation time is sufficiently large there is a possible parameter range which allows for oscillatory convection. However, the presence of the Guyer–Krumhansl terms has the effect of damping the oscillatory convection and returning the instability mechanism to one of stationary convection.
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