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In this study we investigate heat and mass transfer in magnetohydrodynamic mixed convection flow of a nanofluid over an unsteady stretching/shrinking sheet. The flow is subject to a heat source, viscous dissipation and Soret and Dufour effects are assumed to be significant. We have further assumed that the nanoparticle volume fraction at the wall may be actively controlled. The physical problem is modeled using systems of nonlinear differential equations which we have solved numerically using the recent spectral relaxation method. In addition to the discussion on physical heat and mass transfer processes, we also show that the spectral relaxation technique is an accurate technique for solving nonlinear boundary value problems.

In this article, we use the Buongiorno model to study the three-dimensional tangent hyperbolic nanofluid flow over a stretched sheet. The study investigates the impact of velocity slip on the flow and heat transfer features in a tangent hyperbolic nanofluid. For a better fit with experimental observations. We assume that the nanoparticle mass flux at the boundary is zero as opposed to a prescribed concentration at the surface. Using appropriate transformations, we reduce the partial differential equations that describe the momentum, energy, and concentration transport to ordinary differential equations. Numerical solutions of the equations are obtained using the spectral method. Graphical illustration of the physical influence of various parameters on the flow features, the skin friction coefficient, and the local Nusselt number is given. The results indicate, that particle Brownian motion has a negligible impact on the rate of heat transfer. The impact of the modified Weissenberg number, a measure of the ratio of elastic to viscous forces, causes a reduction in the fluid velocity. The results are shown to be good agreement with those in related studies in the literature. K E Y W O R D Shyperbolic nanofluid, MHD flow, spectral method, stretching sheet