The unsteady flow and heat transfer in an incompressible laminar,
electrically conducting and non-Newtonian fluid over a non-isothermal
stretching sheet with the variation in the viscosity and thermal conductivity
in a porous medium by the influence of an external transverse magnetic field
have been obtained and studied numerically. By using similarity analysis the
governing differential equations are transformed into a set of non-linear
coupled ordinary differential equations which are solved numerically.
Numerical results were presented for velocity and temperature profiles for
different parameters of the problem as power law parameter, unsteadiness
parameter, radiation parameter, magnetic field parameter, porous medium
parameter, temperature buoyancy parameter, Prandtl parameter, modified Eckert
parameter, Joule heating parameter , heat source/sink parameter and others. A
comparison with previously published work has been carried out and the
results are found to be in good agreement. Also the effects of the pertinent
parameters on the skin friction and the rate of heat transfer are obtained
and discussed numerically and illustrated graphically.
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
