SLOW STEADY MOTION OF AN ELASTICO-VISCOUS FLUID WITH HEAT TRANSFER IN A WAVY CHANNEL

Abstract

The problem of heat transfer due to the slow steady motion of an elastico-viscous fluid between two wavy is considered. Taking the deformation of the boundaries to be small, tbe equations of continuity, momentum and enersy have been solved using the perturbation technique. The solution for the velocity field is then employed to study the nature of the tempera lure field under the two types of thermal boundary conditions.

(i) both the walls are at the same constant temperature;

(ii) one wall is at a constant temperature while, the other is heat insulated.

It is found that the velocity profiles are affected by the stress relaxation lime only, while the stresses and the temperature distribution are affected by both stress relaxation and strain retardation times. Certain similarities are noticed in the results of tbe present investigation and that in reference.