Analysis Of Maxwell Fluid Flow Over Plates With The Effects Of Mhd And Radiation Through A Porous Medium

Abstract

This thesis investigates the two-dimensional steady flow of Maxwell fluid across four distinct geometries: a vertical plate, a flat plate, an inclined plate and a flat parallel plate, considering the combined effects of MHD, radiation and heat generation embedded in a porous medium. Each geometry is analyzed under specific boundary conditions tailored to its unique characteristics. For the vertical plate, the analysis encompasses the standard parameters and the effects of Joule heating and melting. In the case of the flat plate, chemical reactions and Newtonian heating effects are also considered. The inclined plate analysis incorporates the additional Soret and Dufour effects. Finally, activation energy and the effects of suction and blowing are included in the analysis for the flat parallel plate geometry. newlineThe governing equations are framed as partial differential equations using the parameters mentioned above. These PDEs are employed for physical modeling in scenarios involving multiple dimensions and large-scale parameters, making them complex and challenging to solve directly. To manage the complexity of the PDEs, similarity transformations are used to convert them into ordinary differential equations, allowing for simpler solutions. These transformations are essential as they linearize the non-linear equations, enabling the use of numerical methods such as bvp4c for obtaining solutions. newlineThis thesis presents comprehensive results including velocity, temperature and concentration profiles for all four geometries under various effects. Additionally, results for skin friction, Nusselt number and Sherwood number are provided in tables to quantify the impact of different parameters on fluid flow characteristics. The results are validated against existing data to ensure accuracy and reliability newline