• PROBLEM OF MIXED CONVECTIVE FLOW OF A VISCOELASTIC FLUID IN AN INCLINED CHANNEL WITH PERMEABLE WALLS UNDER THE INFLUENCE OF ACCELERATION DUE TO GRAVITY

Abstract

Various parameters that influence the flow entities in the case of mixed convection flow of a visco elastic fluid in an inclined channel under the influence of acceleration due to gravity has been examined in detail in this paper. It is observed that, as the cross flow Reynolds number increases, the temperature decreases. Further, for higher values of such cross flow Reynolds Number, it is seen that the temperature remains constant and only after considerable distance away from the boundary, the temperature increases. Further, it has been noticed that, as the cross flow Reynold’s number increases, the velocity decreases. Also, for the higher values of cross flow Reynold’s number a backward flow is also noticed and as the angle of inclination increases, the velocity increases. Further, the Prandtl number is observed to be inversely related to the temperature. In contrast with the earlier conclusion, it is seen that for larger values of the Prandtl number, the change in temperature is not that significant at the initial stages but at very far distance from the boundary, appreciable change is noticed. It has been noticed that, as the Reynolds number increases, a decreasing trend in the velocity of the fluid has been seen. Further, the angle of inclination appears to have a profound effect on the velocity field. Though the velocity increases when the plate is inclined, the profiles are found to be distinct and are widely dispersed when the bounding surface is held horizontal. Also, the visco elasticity of the fluid and the velocity are inversely related to each other while, the Grashoff number and the velocity of the fluid are directly proportional.