HYDRODYNAMIC FLOWS THROUGH VERTICAL WAVY CHANNEL WITH TRAVELLING THERMAL WAVES EMBEDDED IN POROUS MEDIUM

摘要

This paper analyses the two dimensional free and forced convection flow and heat transfer in a vertical wavy channel with travelling thermal waves embedded in a porous medium. The set of non-linear ordinary differential equations is solved analytically. The velocity and temperature field have been obtained using perturbation technique. The effects of non-dimensional parameter on the velocity and temperature profile are shown graphically. It is observed that the main flow velocity increases with an increase in either permeability parameter or the Grashof number. It is remarkable that the flow is reversed at the middle of the channel. It is found that for small values of frequency parameter it increases while it decreases for large values of frequency parameter. On the other hand, the cross velocity decreases with an increase in the permeable parameter while it increases with an increase in the Grashof number. It is found that for small values of frequency parameter the cross velocity first increases and then decreases with increase in frequency parameter. The flow is also reversed for the cross flow. It is seen that the shear stresses at the plates rises with an increase in the permeable parameter. The temperature profile decreases with an increase in the Prandtl number while it increases with increase in the permeable parameter. Also it is seen that the heat transfer coefficient increases with an increase in the permeable parameter but decreases with an increase in the Grashof number.