Temperature profiles due to continuous hot water injection into homogeneous fluid-saturated porous media through a line source

We report a theoretical study to determine the temperature profiles due continuous andconstant injection of hot water through line source, into homogeneous fluid-saturated porous medium which has had initially constant T∞. In our treatment we have taken in account simultaneous fluxes volume fluid, q, and heat, φ. By using far-field description, found similarity solutions for dimensionless depending on Peclet number, P e, as single parameter problem.