Oscillatory Flow in a Vertical Channel Filled with Porous Medium with Radiation and Dissipation

Abstract

The present discussion is an analytical study of the oscillatory flow of a viscous incompressible Newtonian fluid in an infinite vertical parallel plate channel filled with porous medium. It is assumed that the flow is fully developed and the fluid is dissipative, gray, absorbing-emitting radiation and non-scattering. The radiative heat flux in the energy equation follows Rosseland approximation. It is considered that both the plates are stationary and temperature of one of the plates oscillates about a non-zero mean temperature. Approximate solutions to the coupled non-linear partial differential equations governing the flow have been found using the double perturbation technique. The effects of various parameters on the transient velocity, the transient temperature, the amplitude and phase of the skin friction and the rate of heat transfer have been analysed and shown in the form of graphs and tables.

Keywords

• Unsteady
• radiation
• dissipation
• vertical channel
• porous medium
• oscillatory temperature