NON-NEWTONIAN NANOFLUID FLOW THROUGH A POROUS MEDIUM BETWEEN TWO COAXIAL CYLINDERS WITH HEAT TRANSFER AND VARIABLE VISCOSITY

An analysis is performed for non-Newtonian nanofluid with coaxial cylinders for constant and space-dependent viscosity. An incompressible fluid saturates the porous medium. The flow modeling is based upon the modified Darcy's law. Solutions for a class of coupled nonlinear differential equations arising in non-Newtonian nanofluids are obtained by homotopy analysis method. Convergence and residual error of the series solutions are shown explicitly. The obtained solutions satisfy the boundary conditions and the governing equations. The recurrence formulas for finding the coefficients are also given. Nusselt number is also computed in each case. In addition, the obtained results are illustrated graphically to indicate the effects of the pertinent physical parameters on velocity, temperature, and nanoconcentration distributions.