Numerical Solution of Micropolar Fluid Due To Moving Surface

Abstract

The major goal of writing this thesis to enunciate the notion of numerical solution of micropolar fluids due to moving surface. We have established the thesis in the following manners. In the first chapter, comprehensive study based upon literature is discussed for micropolar fluid. Second chapter consists of basic definitions of fluids and fundamental laws. Third chapter is a review chapter of micropolar fluid with magneto hydrodynamics along with viscous dissipation on a stretched sheet. By applying the built-in bvp4c approach with the similarity transformation, we have investigated a methodology of partial differential equations. Boundary layer approach is utilized to obtain the simplified form partial differential equations. Later on, by employing appropriate methods, boundary layer strategy and the similarity transformations, governing systems of PDE’s has been converted to a various cumulative ODE’s and then solved numerically. Graphically, the associated parameters including Prandtl number, magnetic parameter, material parameter, Eckert number, thermophoresis parameter, Brownian motion number and Schmidt number are variated for velocity and temperature profiles. In chapter four, micropolar fluid flow with zero mass flux of nanoparticles in a porous medium. The same strategy is used to solve the model as discussed for chapter 3. In the fifth chapter, the conclusion of the entire study is presented.