In the present study, viscous compressible flow with heat transfer effects in high permeable elliptical cylinder is investigated. Flow is kept laminar through Reynolds number at about 100. The heat transfer in fluids physics has been chosen to couple with laminar flow. The time dependent outcomes of surface velocity, pressure distribution, temperature distribution, isothermal contour profiles and drag coefficient are discussed in results. The mesh created through COMSOL has been described statistically. This mathematical modeling of stated problem is done in COMSOL Multi-physics. The results will help greatly to understand characterizations of viscous fluids.