Buoyancy effect on mixed convection boundary layer flow of Casson fluid over a non linear stretched sheet using the spectral relaxation method

The principal idea of this study is to examine the buoyancy effect on two-dimensional flow of Casson fluid and mixed convection over a nonlinear stretching sheet. The governing equations of the present study along with suitable boundary conditions are transformed into non dimensional differential equations along with appropriate boundary conditions by using similarity transformations. Spectral relaxation method is applied to study the considered problem as numerically. Moreover in case of linear stretching Exact solution is also performed. To improve the effectiveness and accuracy of the proposed method spectral over relaxation method is used. The effects of various emerging parameters are studied to analyze temperature, local Nusselt number, friction factor and velocity by means of graphs and tables. Numerical outcomes are validated by comparing the outcomes obtained and existing literature. Mainly, noticed that, enhancement in the velocity and decrement in temperature for the increasing augments of the buoyancy parameter.