Applications of the Spectral Local Linearisation Method on Different Types of Fluid Flow

Abstract

In this thesis we paid a tension on two kind of fluid flow problems, the the non-Newtonian fluids flow include the Couette flow, Poiseuille flow, Couette Poiseuille flow, and the convection heat and mass transfer in non-Darcy porous medium. The highly nonlinear differential equations governing the fluid flow transferred into ordinary differential equations. Later the resulting equations solved numerically by using the spectral local linearization method (SLLM). The effects of the governing parameters such as Brinkman number, Nusselt number, Sherwood number, Lewis number, the buoyancy ratio, the pore diameter dependent Rayleigh number, and other parameters have been shown graphically.