Study of conjugate heat transfer for a magnetohydrodynamic fluid in a semicircular cavity.

Abstract

This thesis investigates the heat transfer effects within a semicircular cavity under the influence of a uniform magnetic field, with a focus on magnetohydrodynamic (MHD) flows. Conducted within the framework of the Department of Mechanical Engineering at Sonargaon University, Dhaka, Bangladesh, the study addresses the complex interplay of fluid dynamics, heat transfer, and magnetic field interactions. The research begins with the formulation of a comprehensive mathematical model, aligning with the academic standards of the Department. The model, describing the continuum of continuity, momentum, and energy equations, is appropriately nondimensionalized to enhance comparability and facilitate a clear interpretation of dimensionless parameters. Numerical simulations are performed using the finite element method (FEM), consistent with the computational practices endorsed by the Department. Special attention is given to mesh generation, tailored to the computational resources available at Sonargaon University, to ensure high spatial resolution near the corrugated surface. Visualization tools such as streamlines and isotherms are employed to effectively communicate fluid flow patterns and temperature distribution within the semicircular cavity, adhering to visualization standards set by the Department. A comprehensive parametric study is conducted, varying Rayleigh number, and heating ratio, in line with numerical simulation practices. The analysis focuses on the effects of these parameters on streamlines, isotherms, velocities, and Nusselt number. Results indicate that an increase in the Rayleigh number and heating ratio correlates with heightened heat transfer rates. Validation against existing models is performed following the Department's standards for verification and comparison