Magneto-Hemodynamics of Nanofluid with Heat and Mass Transfer in a Slowly Varying Symmetrical Channel

Abstract

The magneto-hemodynamic laminar flow of a conducting incompressible viscous nanofluid (blood) through a channel of slowly varying width under a transverse magnetic is investigated using perturbation and numerical methods. For this purpose, Buongiorno’s model is employed for the analysis in four different channels namely, convergent, divergent, locally constricted and wavy channels. Oberbeck-Boussinesq approximation is used and the partial differential equations are solved using perturbation series method. For validation, the governing differential equations are also solved numerically. Both perturbation and numerical results are compared and are found in good agreement. The effects of pertinent parameters on the fluid flow, heat and mass transfer in the selected channels are analyzed for special cases. The results show that both thermal and solutal Richardson numbers have opposite behaviour for skin friction, heat and mass transfer in each channel.