Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates

In this paper, natural convection of non-Newtonian fluid flow between two infinite parallel vertical plates is studied using interpolation scaling functions based on the Galerkin method. To do so, the governing equations are reduced to a set of ordinary differential equations considering both pure and nano-fluid flow. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. This new proposed method has the capability of multi-resolution solution with a higher accuracy comparing with other similar methods.