Group theoretical analysis for magnetohydrodynamic generalized Stokes’ flow and radiative heat transfer model of a non-Newtonian nanofluid with heat generation/absorption

摘要: The fully developed boundary layer flow and heat transfer model of an unsteady, incompressible, electrically conducting, optically thick thermodynamically compatible third-grade nanofluid are investigated from the viewpoint Lie symmetry approach. We have studied Stokes’ in which is generated due to motion bounding surface with impulsive time-dependent velocity. mathematical also includes effect thermal radiation internal source or sink regime. approach employed obtain algebra governing nonlinear partial differential equations for both models. describing reduced different classes ordinary under implication generators. using compatibility generalized group theoretical method. exact closed-form solutions temperature distribution within obtained. various thermophysical parameters on characteristics Cu-water explored a physical point view.