Chemical Reaction Effects on Mixed Convection Flow of Two Immiscible Viscous Fluids in a Vertical Channel

Abstract

The objective of this paper is to study the heat and mass transfer in vertical infinite parallel plates in the presence of first order chemical reaction. The channel is filled with viscous, immiscible fluids. Fluids in both the regions are incompressible and the transport properties are assumed to be constant. The governing equations which are coupled and highly nonlinear are solved analytically using regular perturbation method and numerically using finite difference method. Separate solutions are matched at the interface by using suitable matching conditions. The effects of various pertinent parameters on the heat and mass transfer characteristics are discussed numerically and represented graphically. The thermal Grashof number and mass Grashof number enhances the flow in both regions in the presence or in the absence of first order chemical reaction. The viscous dissipation, viscosity ratio, width ratio and conductivity ratio enhances the flow, where as the first order chemical reaction parameter suppresses the flow in both the regions. The volumetric flow rate, Nusselt number, total species rate and the total heat rate added to the flow are also explored. It is also found that the numerical and analytical solutions agree very well for small values of the perturbation parameter.