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.

In this paper, the effects of chemical reaction on free convective flow of electrically conducting and viscous incompressible immiscible fluids are analyzed. The coupled nonlinear equations governing the heat and mass transfer are solved analytically and numerically with appropriate boundary conditions for each fluid and the solutions have been matched at the interface. The analytical solutions are solved by using regular perturbation method valid for small values of perturbation parameter and numerically by using finite difference method. The numerical results for various values of thermal Grashof number, mass Grashof number, Hartman number, viscosity ratio, width ratio, conductivity ratio, and chemical reaction parameter have been presented graphically in the presence and in the absence of electric field load parameter. In addition, the closed form expression for volumetric flow rate, Nusselt number, species concentration, and total heat rate added to the flow is also analyzed. The solutions obtained by finite difference method and perturbation method agree very well to the order of 10 −4 for small values of perturbation parameter. C⃝ 2014 Wiley Periodicals, Inc. Heat Trans Asian Res, 44(7): 657-680, 2015; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj).

No abstract

In this study, the effect of material parameter on the mixed convective fully developed micropolar fluid flow in a vertical channel has been analyzed. By considering appropriate boundary and interface conditions, the coupled nonlinear equations are solved analytically. The analytical results are plotted for various important parameters. It is found that an increase in the material parameter enhances the microrotation velocity and decreases the fluid velocity, and the results are shown graphically.

No abstract