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Heat and mass transfer of unsteady mixed convection flow of Casson fluid within the porous media under the influence of magnetic field over a nonlinear stretching sheet

Numerical outcomes for the steady and unsteady flow situations are investigated for the mixed convection flow of Casson nanofluid caused by the motion of a nonlinear stretching sheet in porous media with chemical reaction and magnetic effects. In the present study, the impact of convective boundary conditions on the thermal and concentration profiles as well as in the presence of Brownian motion and thermophoresis effects on the flow field are also examined. Highly non-linear and coupled partial differential equations (PDEs) are transformed into a system of ordinary differential equations (ODEs) by using suitable similarity transformations and subsequently portray numerical and graphical results with the help of bvp4c tool using MATLAB. The validity of numerical results are compared and checked with previously published results in the literature. For deliberating the physical nature of the investigation, graphical and tabulated results are provided. The Casson parameter helps to reduce the intensity of the skin friction, while Casson fluid has a converse impact on velocity and temperature field, but parallel results are seen in the case of concentration and temperature profile. The impacts for the magnetic parameter on velocity and temperature is revealed more effective than nanoparticle concentration. The impact of thermal and concentration buoyancy parameter on velocity, temperature and concentration profiles are observed and found that velocity profile increases with slight increase in thermal buoyancy parameter but decreases the other two profiles.