A Computational Study On Thermo-solutal Convection In Magnetohydrodynamics (mhd) Flow With Dufour Efeect

ABSTRACTA computational study on thermo-solutal convection in Magnetohydrodynamics (MHD) flowwith Dufour effect is the subject of this research work. A fully developed unsteady naturalconvection flow of viscous, incompressible and electrically conducting fluid in amicrochannel formed by two vertical plates under the influence of transverse magnetic fieldof uniform strength 0 B which is applied in the direction perpendicular to that of the flow isconsidered. In this flow formation, temperature is influenced by concentration of theintroduced chemical species, leading to diffusion-thermo effect on the heat and mass transfer.In an extended study, the flow is subjected to suction of the fluid from one porous plate andat the same rate fluid is being injected through the other porous plate. Fluid motion is inducedby asymmetric heating of the channel plates taking into consideration velocity slip andtemperature as well as concentration jumps on the boundaries. Heat source parameter as wellas Dufour effects are also taken into cognizance. Partial differential equations that describethe energy and concentration within the system follow the dual-phase-lag model for heatconduction. Laplace transform approach is used to solve the resulting governing equations inLaplace domain while the inversion into time domain is made possible through the Riemannsumapproximation technique. The response of mean chemical concentration, bulk fluidtemperature and mass flux within the channel to different flow parameters are investigated. Itis worth noting that regardless of temperature gradient or heat flux influence on the fluidflow, the resultant mass flux decreases by increasing the Hartmann number (m) and also, itincreases with an increase in Biot number (Bi) as well as Dufour number (D). In addition, themean temperature rises following an increase in Dufour (D) number but decreases withgrowing thermal retardation time ( T  ). Furthermore, it is observed that heat generation ( )increases temperature profile, velocity profile and also skin friction.

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