Reactive infiltration in porous media with thermal effects

We present a first approach to the study of the motion of a fluid percolating through a porous medium whose porosity changes in time due to dissolution of the solid matrix, in the presence of heat transfer between the two phases. A physical model is derived based on mass and energy balance equations. Travelling wave solutions are obtained, both in the case where thermal effects are not taken into account and for a simplified version of the complete model. The existence proof is based on topological arguments in the spirit of the classical theorem of Wazewski.