This project report, submitted to Desklib, presents a detailed analysis of an advanced thermal and fluid engineering problem. The first part focuses on an initial value problem involving an energy extraction device with a vibrating cylinder. The report includes the derivation of the equation of motion using the Morison equation, which considers both inertial and drag forces. It also involves the development of a numerical method, specifically the finite difference method (FDM), to predict the vibration of the cylinder. The MATLAB code is included. The project investigates the effects of varying damping coefficients and the Keulegan-Carpenter (KC) number on the system's behavior. Part II explores a one-dimensional convection-diffusion problem involving heat transfer in soil, including the governing equations, boundary conditions, and solution methods. The report provides insights into the behavior of the system under different conditions.
![[object Object]](/_next/static/media/star-bottom.7253800d.svg)
