Unsteady Natural Convection Couette Flow of a Reactive Viscous Fluid in a Vertical Channel

In the present work both analytical and numerical solutions of a fully developed unsteady natural convection Couette flow of a reactive viscous fluid in a vertical channel formed by two infinite vertical parallel plates are presented. The fluid motion is induced due to natural convection as well as the impulsive motion of one of the channel plates. The flow in the channel is described by momentum and energy equations. Analytical expressions for temperature, velocity, skin friction, and Nusselt number are obtained for the steady-state case using perturbation methods, while the time-dependent problem is solved numerically. During numerical computation it was found that for large time both the numerical and analytical results coincide.