Local Nonsimilarity Solution for Nonlinear Convection of Casson Fluid Flow with Nonuniform Heat Source/Sink

The present investigation emphasizes the nonlinear mixed convective heat transport phenomena of non-Newtonian fluid from a horizontal plate in presence of non-uniform heat source/sink. To represent the non-Newtonian features of the fluid, Casson fluid model is adopted for the analysis. It is also assumed that the density of Casson fluid varies nonlinearly with temperature. A thorough boundary layer analysis is carried out by incorporating suitable group of non-dimensional variables. However, local similarity and non-similarity methods are considered for solving the transformed nonlinear PDEs as the dimensionless variables do not permit a similarity solution. Hence, the obtain ODEs are solved by Runge-Kutta technique. The control of relevant parameters on flow, temperature distributions, and on the quantities of physical interest namely, Nusselt number and skin friction coefficient is explored through graphs and tabular evidence. An advance understanding about the outcome of these parameters on heat transfer rate and surface shear in boundary layers can be extremely helpful in the perspective of engineering applications.