Abstract
The present paper deals with the Hall and ion slip currents on an incompressible unsteady free convection flow and heat transfer of an upper convected Maxwell fluid between porous parallel plates with Soret and Dufour effects by considering the velocity slip and convective boundary conditions. Assume that there are periodic injection and suction at the lower and upper plates, respectively. The temperature and concentration at the lower and upper plates change periodically with time. The flow field equations are reduced to nonlinear ordinary differential equations by using similarity transformations and a semi-analytical-numerical solution has been obtained by the differential transform method. The velocity components, temperature distribution, and concentration with respect to different fluid and geometric parameters are discussed in detail and presented in the form of graphs. It is observed that the Biot number increases the temperature and concentration of the fluid. Further, the concentration of the fluid is enhanced whereas the temperature decreases with increasing slip. The present results are compared with the existing literature and are found to be in good agreement.
Highlights
The flow through porous channels is of great importance in both engineering and biological flows
White Jr. et al [2] considered the steady incompressible laminar viscous fluid flow between porous parallel plates with uniform suction or injection and the problem was analyzed for a wide range of suction Reynolds number
The steady flow of chemically reacting micropolar fluid through a permeable channel was studied by Sheikholeslami et al [6] and an analytical solution was obtained by using the homotopy perturbation method
Summary
The flow through porous channels is of great importance in both engineering and biological flows. The MHD mixed convective heat and mass transfer of couple stress fluid through a porous channel with periodic suction and injection in the presence of cross-diffusion effects was considered by Ojjela and Naresh Kumar [20] and the reduced governing equations are solved numerically by the method of quasilinearization. Mukhopadhyay and Gorla [26] analyzed the two-dimensional MHD flow and mass transfer of UCM fluid over an unsteady stretching sheet with first-order constructive/destructive chemical reaction and obtained a numerical solution by shooting method. Mosayebidorcheh et al [32] have investigated the effect of mass transfer on an incompressible laminar upper convected Maxwell fluid in a porous channel with high permeability medium and the reduced flow field equations are solved by differential transform method. The present results are compared with Bujurke et al [37] for the Newtonian fluid and presented in the form of a table
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