Study of Rotating Flows and Heat Transfer for Casson Nanofluid under Uniform Magnetic Field

Abstract

A fluid for which stress isn’t linearly related to deformation rate is termed as a non-Newtonian fluid. Such fluids help us comprehend the widespread variety of fluids that occur in the physical world. Many researchers explored non-Newtonian fluids via Casson model which is preferred due to its wide-ranging applications. This work includes a brief background of the research undertaken in this thesis. Dimensionless numbers and their significance are described briefly. Some important concepts employed in the thesis are also explained. Further we have described the basic equations of incompressible fluids and models for transport of nanofluids. Numerical technique is also discussed in detail. Heat transfer and Skin friction coefficient effects on a Casson Nanofluid flow rotating on a stretching disk is subjected to convective heating are discussed. A convenient routine bvp4c of MATLAB and Keller box method are invoked to find graphical and numerical solutions. Casson parameter β and magnetic parameter M have very small effect on radial component of velocity. Heat transfer is decreasing against high Prandtl number. There is non linear relationship between the skin friction coefficient and volume fraction of nanoparticles. Thermal boundary layer decreases with increase in thermophoresis parameter. At high thermophoresis parameter there is a decrease in heat transfer rate. The stretching forces and magnetic forces balance each other. In the end the summary of conclusions and future work is described.