In this paper, the impact of Dufour number along with viscous dissipation on the non-steady stream of heat together with the mass transfer of Casson fluid, on vertical permeable laminate is studied with chemical reaction. Dimensionless governing equations of temperature, velocity as well as concentration have been resolved by the finite element method (FEM). The tables of skin friction, Sherwood along with the Nusselt number are explained numerically in the tables. Effects of various physical quantities such as Dufour, Soret numbers, Eckert number, radiation, chemical reaction parameters, and so on are discussed in detail through figures and tables. A comparison with previously published work reveals extremely excellent agreement.

A numerical investigation is performed for the MHD viscous nanofluid due to convective stretching. Heat and mass transfer are investigated for steady, viscous dissipations and chemical reactions. The governing partial differential equations are transformed into an arrangement of the non-linear ordinary differential equations by using the similarity transformation. Utilising the shooting method, the system of ordinary differential equations has been solved with the help of the computational language FORTRAN to compute the numerical results. The numerical solution obtained for the velocity, temperature, and concentration profiles has been presented through graphs for different choices of physical parameters. The numerical values of the Nusselt and Sherwood numbers have also been presented and analysed through tables.

This present paper is concerned with the study of the magnetohydrodyamics (MHD) effects on mixed convection flow of an incompressible micropolar fluid over a stretching sheet in case of unsteady flow. Energy equation takes into account of thermal radiation. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are assumed to be impulsively applied along axial direction. The governing non-linear equations and their associated boundary conditions are first cast into a dimensionless form using local non-similarity transformations. The resulting equations are solved numerically using the Adams-Predictor Corrector method. A representative set of numerical results is displaced graphically to illustrate the influence of various physical parameters on velocity, microrotation profiles as well as the skin friction coefficient. It is found that there is a smooth transition from small-time solution to the large-time solution