Computational Momentum, Heat, and Mass Transfer

Understanding how fluids move, heat dissipates, and mass transfers is crucial for modern engineering, but solving these complex equations analytically is often impossible. Computational methods bridge this gap, turning physical laws into solvable numerical models. This text-based course guides you from the fundamental physics of transport phenomena to writing clean, structured code for numerical simulations. You will learn how to discretize transport equations and implement basic solvers to analyze real-world physical systems. What you'll learn: - Understand the fundamental governing equations of momentum, heat, and mass transfer. - Apply finite difference methods to discretize partial differential equations. - Implement numerical solvers using modern scientific computing libraries in Python. - Set up boundary and initial conditions for steady-state and transient simulations. - Analyze computational stability and convergence to ensure reliable simulation results. The course begins with foundational transport theory and governing equations before introducing discretization techniques. You will then progress to implementing and testing numerical models through structured code examples and written exercises. This program is designed for engineering students, researchers, and developers new to computational fluid dynamics and scientific computing, requiring only basic physics and programming knowledge. Start building your computational engineering foundation today.