Temporal analysis of dual phase‐lag double‐diffusive MHD flow within a porous microchannel with chemical reaction

Abstract

AbstractA novel investigation is carried out to capture the transient effects of a dual phase‐lag (DPL) model for combined heat and mass transfer magnetohydrodynamic (MHD) flow within a porous microchannel in the presence of Dufour effects and homogenous first‐order chemical reaction. The governing equations for the fluid flow problem are solved using the Laplace transform method, which is a powerful technique for solving partial differential equations. Its inversion is done by using the INVLAP subroutine of MATLAB. The numerical values of fluid velocity, fluid temperature, and species concentration are demonstrated graphically and those of skin friction, heat transfer rate, and mass transfer rate are presented through tables. It is for the first time that the actual time gap between the DPL model, the Cattaneo‐Vernotte model, and the classical Fourierʼs model has been deciphered and the results unique to the DPL model are presented. We observe a clear difference between the DPL and the other two models at a dimensionless time , which gradually diminishes as time progresses, and all models coincide together at , that is, where a steady state temperature is reached. An important contribution of this study lies in discovering the time‐bound effects of the phase‐lag parameters of the DPL model on fluid temperature, species concentration, and fluid velocity and support them by physical justification. A similar discussion is provided for all other flow parameters. The results conveyed through this study would undoubtedly help researchers to advance the design of mechanical systems in microdevices involving MHD flow in porous media.