Numerical Methods and 1D Transport Modeling in MATLAB

Solving transport phenomena and fluid flow problems in chemical engineering requires a solid grasp of numerical methods. This course bridges the gap between chemical engineering theory and numerical computation, showing you how to set up and solve one-dimensional flow equations from scratch. You will start with the core mathematical definitions and physics principles before translating them into clean, executable code. By working through structured written explanations, you will learn how to discretize differential equations, set up boundary conditions, and solve the resulting systems of linear equations. This foundational knowledge is essential for simulating heat transfer, mass transfer, and fluid flow in pipeline systems. What you'll learn: - Understand the core physical principles behind one-dimensional transport and flow equations - Discretize continuous differential equations using finite difference methods - Formulate transport problems as systems of linear equations using matrix notation - Write structured MATLAB scripts to solve one-dimensional flow models - Implement boundary conditions accurately in your numerical solvers - Analyze stability and convergence of your numerical solutions The course begins with fundamental transport equations and linear algebra concepts, progresses through finite difference discretization, and concludes with practical script implementation and analysis. This text-based program is designed for engineering students and professionals new to numerical modeling, requiring only basic calculus and introductory MATLAB familiarity. Start building your engineering simulation skills today.