Introduction to Inverse Methods in Heat Transfer

Understanding temperature distribution is crucial, but what happens when you cannot directly measure the heat source or boundary conditions? This text-based course guides you through inverse methods in heat transfer, showing you how to work backward from experimental temperature measurements to calculate unknown physical parameters. You will transition from basic forward heat conduction problems to solving complex parameter estimation challenges. What you'll learn: Understand the fundamental differences between direct and inverse heat transfer problems; Learn the mathematical formulation of parameter and function estimation; Apply the least-squares minimization technique to thermal data; Configure regularization methods to stabilize ill-posed inverse problems; Analyze sensitivity coefficients to determine optimal sensor locations; Practice solving inverse conduction and convection problems through step-by-step written examples. The course begins with foundational definitions of inverse theory and heat transfer equations, before moving into optimization algorithms, sensitivity analysis, and regularization strategies. This course is designed for engineering students, researchers, and practicing thermal engineers who have a basic understanding of heat transfer and calculus, but are complete beginners to inverse modeling. Start mastering the analytical tools to solve real-world thermal estimation problems today.