Numerical Methods for 1D Polymer Flow in Chemical Engineering

Modeling the flow of complex fluids like polymers requires solving complex nonlinear algebraic equations that analytical methods simply cannot handle. This text-only course guides you from the fundamental physics of polymer transport to implementing robust numerical solvers, enabling you to simulate 1D polymer flow with confidence. What you'll learn: - Understand the fundamental governing equations of 1D polymer flow and non-Newtonian rheology - Formulate nonlinear algebraic equations representing chemical engineering transport phenomena - Apply numerical root-finding algorithms like the Newton-Raphson method to multi-variable systems - Write clean, structured numerical code to simulate velocity profiles and shear stress - Analyze solver convergence, error bounds, and numerical stability for complex fluid models You will start with core terminology and the physical principles of polymer rheology before moving step-by-step through algebraic formulation, algorithm design, and code implementation. This course is designed for chemical engineering students and practicing engineers new to numerical simulation, with no advanced programming background required. Start mastering the numerical methods that drive modern chemical process design today.