Boundary Layer Flows of Nanofluid over a Stretching Surface with Chemical Reaction

Abstract

Analysis of transmission of heat and mass combined with chemical reactions in varied nanofluid flows is performed in this dissertation. The geometries considered for nanofluid flows include stretched surfaces, cylinders, and disks. Fluid flows across extended surfaces are pivotal in many engineering processes including glass fiber production, metal extrusion, and spinning of filaments. The unique models presented in this thesis include various effects like Sorbet-Dufour, dust particles, variable thermal conductivity, and Arrhenius activation energy amalgamated with slip and robin conditions taken at the boundary. Numerical solutions are obtained owing to the high nonlinearity of equations and the disability of exact and analytical solutions. The results are depicted through graphical illustrations and numerically calculated tables and are well argued. Apart from the literature review, basic terms’ introduction, and the future work, the thesis discusses the Dufour and Sorbet effect with varied thermal conductivity on a dusty Caisson nonliquid flow through a permeable media. This is followed by a delicate model of 3D Caisson nonliquid flow past a spinning disk influenced by the Hall current with temperature-dependent thermal conductivity. The third model discusses the behavior of Sorbet-Dufour amalgamated with Arrhenius activation energy effects on Caisson nonliquid flow over an extendable cylinder. The last unique problem addresses the Maxwell nonliquid flow in a rotating frame with variable characteristics and convective boundary conditions. These studies are unique as it addresses the behavior of dependence of temperature on thermal conductivity and concentration on mass diffusion past deformable surfaces incorporated with chemical reaction. Numerical simulations are performed to solve the mathematical models by using bvp4c built in function in MATLAB. The key findings depict that velocity profile shows a decreasing behavior for large vi values of the porosity parameter. The concentration field augments on amplifying activation energy, whereas, a decreasing behavior is depicted by the chemical reaction parameter. On varying the Prandtl and thermal Biota numbers, heat flux elevates. The validation of each envisioned model is also a uniqueness of this thesis. The significance of this study is that obtained results will contribute to a greater understanding of nonliquid flows.