Unsteady boundary layer flow of Carreau fluid over a permeable stretching surface

The main objective of the present work is to present numerical solutions of the unsteady two-dimensional boundary layer flow and heat transfer of an incompressible Carreau fluid over a permeable time dependent stretching sheet. Using suitable transformations, the time dependent partial differential equations are converted to non-linear ordinary differential equations. The numerical results of these non-linear ordinary differential equations with associated boundary conditions are determined by using the bvp4c function in MATLAB. The numerical results are investigated for the emerging parameters namely, the unsteadiness parameter A, mass transfer parameter S, Prandtl number Pr, power law index n and Weissenberg number We. It is important to state that both the momentum and thermal boundary layer thicknesses diminish with increasing values of the unsteadiness and mass transfer parameters. A comparison with the available literature in limiting cases is performed and found to be in good agreement.