Advanced Thermodynamics and Computational Fluid Dynamics

This course bridges the gap between classical thermodynamics and modern engineering simulation. It begins with the mathematical architecture of energy, moving beyond basic models to analyze the First and Second Laws as universal constraints. Participants explore state functions like enthalpy and Gibbs free energy to navigate complex thermal systems. The curriculum examines transport phenomena where thermal equilibrium breaks down, contrasting the Fourier Law of conduction with the advective complexities of Newton's Law of Cooling. A key focus is placed on boundary layer theory and the manipulation of heat transfer through geometry and material selection. Additionally, the course introduces exergy analysis, providing a method to quantify the quality of energy and pinpoint specific locations of inefficiency in real-world cycles such as gas turbines and refrigeration systems. The second half of the series focuses on fluid motion and digital simulation. It establishes the Navier-Stokes framework, treating fluids as a continuum governed by the conservation of mass, momentum, and energy. These non-linear partial differential equations provide the mathematical foundation for Computational Fluid Dynamics (CFD). The course details the transition from continuous calculus to discrete algebra using the Finite Volume Method. Technical discussions cover mesh generation, convergence, stability, and pressure-velocity coupling through algorithms like SIMPLE. The final sessions synthesize these concepts, demonstrating how aerospace and automotive engineers use simulation to optimize design. The program emphasizes a physics-based approach to interpreting results, preparing students to handle complex multi-phase flows and high-performance computing in modern engineering environments.