Unsteady Casson fluid flow in a porous medium with inclined magnetic field in presence of nanoparticles

摘要

A theoretical study on the flow of Casson nanofluid past a linear stretching sheet in a non-Darcian porous medium under the influence of inclined magnetic field is performed. Heat transfer characteristics along with Joule and viscous dissipation are analysed by considering the effect of non-uniform heat source/sink. The governing partial differential equations are non-dimensionalized and put into similar form by using a set of transformations. The highly non-linear coupled partial differential equations are solved using bivariate spectral quasi linearization method. The modification in flow, temperature and concentration profiles due to variations of parameters, namely, space- and temperature-dependent heat source/sink, Casson fluid parameter, Brownian motion, thermophoresis, Eckert number, Lewis number and the magnetic parameter are discussed by plotting the numerical result in tabular and graphical forms. Inclination angle parameter thins momentum boundary layer whereas it thickens thermal boundary layer.