SLOW STEADY MOTION OF A THERMO-VISCOUS FLUID BETWEEN TWO PARALLEL PLATES WITH CONSTANT PRESSURE AND TEMPERATURE GRADIENTS

J. Srinivas, N. Pothanna, P. Nageswara Rao, N. Ch. Pattabhi Ramacharyulu

Abstract: In this paper, the slow steady motion of a second order thermo-viscous fluid between two parallel plates is examined. 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 for the following two cases: (i) when the upper plate is in relative motion and (ii) when the upper plate is thermally insulated. The heat transfer coefficient on the upper plate , The mean Bulk temperature and the transverse force perpendicular to the flow direction are also calculated. It is observed that forces are generated in transverse directions which are special feature of these types of fluids. The effect of various flow parameters on the flow field have been discussed with the help of graphical illustrations.

Keywords: Thermo-viscous fluids, Strain thermal conductivity coefficient and Thermo stress Coefficient.

DOI: https://doi.org/10.15623/ijret.2013.0211045