Numerical Investigation of Natural Convention to a Pseudoplastic Fluid in a Long Channel using a Semi-Implicit Scheme

We develop and computationally analyze a mathematical model for natural convection to non-Newtonian fluid in long thin channel. The channel is bounded by antisymmetric heated cooled walls encloses pseudoplastic fluid. flow heat transfer characteristics are investigated subject the prevailing buoyancy forces resulting from combined gravitational effects. An efficient accurate semi-implicit finite difference algorithm implemented time space analyse equations. In case when sustained enough allow steady states develop, equations would reduce boundary value problem. Even such cases, we demonstrate that, recasting problem as an initial problem, our numerical algorithms still converge relevant, steady-state solutions of original also dependence on embedded parameters at state.