Steady Flow of Thermo-Viscous Fluid between Infinitely Stretched Porous Parallel Plates-A Perturbation Technique

Abstract

The steady flow of a thermo-viscous incompressible fluid bounded between porous parallel plates is examined in this paper. The governing equations of the flow are coupled in the velocity and temperature field. The solutions of velocity and temperature are obtained using a powerful and most elegant method called perturbation technique. The closed form solutions of the velocity and temperature distributions are obtained when thermo-stress coefficient is far less compared to strain thermal conductivity coefficient and coefficient of cross viscosity. The variations of velocity and temperature distributions on the flow field have been discussed with the help of illustrations. The effect of various flow parameters on the flow field have been discussed with the help of graphs. The rate of variation of the velocity is observed as far less when compare to the temperature of the fluid. This effect is due to the porosity and suction/injection of the flow passes through the horizontal parallel plates. This study includes the applications in extraction of petrol and oils from porous rocks, chemical reactors, and human cardiovascular system and in several engineering devices such as heat and mass exchanges. The results of the present study will hopefully enable a better understanding of nuclear and clinical applications.