Effects of Magneto-Marangoni Convection With Variable Properties on Non-Newtonian Biviscosity Fluid Over Stretching Sheet in Porous Medium

The magneto-Marangoni convection effect on non-Newtonian biviscosity fluid flow in a thin film over an unsteady horizontal stretching sheet through a porous medium with variable viscosity and variable thermal diffusivity has been investigated. The governing partial differential equations are nondimensionalized using suitable transformation variables and the resulting equations have been solved numerically using the Chebyshev pseudospectral method for some representative values of the parameters. Numerical results are obtained and displayed graphically for pertinent physical parameters to show interesting aspects of the solutions. The velocity and temperature distributions, free-surface temperature, wall shear stress, and surface heat flux in the film are found to be affected significantly by the thermally induced Marangoni convection adjacent to the free surface. It is also shown that a non-Newtonian biviscosity fluid is less sensitive to the Marangoni effect.