CONTENTS: Transport Phenomena 1 Introduction (Review of Basic Mathematical Tools) 2 General Property Balance (Continuum) 3 Linear Momentum Balance 4 Dimensional Analysis 5 Mechanical/Kinetic Energy Balance 6 Coupling Between Energy & Momentum Equations: Free Convection or Buoyance - Driven Flow 7 Equation of Change for Species 8 Prototype Example 1: Rayleigh Problem or Stoke’s First Problem 9 Prototype Example 2: Unsteady-State Laminar Flow or Start-up Flow in a Tube 10 Prototype Example 3: Flow in a Permeable Tube or Bundles of Hollow Fibers (Lubrication Approximation) 11 Prototype Example 4: Heat (Mass) Transfer in Laminar Flow in a Circular Tube 12 Prototype Example 5: Graetz Problem 13 Prototype Example 6: Brinkman Problem (Viscous Heating) 14 Prototype Example 7: (Natural Convection: Coupling Between Hydrodynamics and Energy) 14 Prototype Example 8: Steady-State Diffusion through a Stagnant Gas Film (Film Theory) 14 Prototype Example 9: Diffusion into a Falling Film (Surface Renewal Theory) 15 Prototype Example 10: Taylor Dispersion or Taylor–Aris Diffusion/Dispersion 16 Prototype Example 11: Strained Diffusion Controlled Reaction 17 Prototype Example 12: Simultaneous Momentum, Heat, and Mass Transport 18 Introduction to the Second Part of the Course 19 Boundary Layer Theory 20 Blasius Solution to BL Equations 21 Thermal and Mass Boundary Layer Theory 22 Turbulent Flow: Some Mathematical Analysis 23 Prototype Example 13: Reduction of BL Convection– Diffusion Equation 23 Prototype Example 14: Flow Over a Plate with Uniform Suction 24 Prototype Example 15: Diffusion to Free Falling Solid Particles (Levich) 25 Prototype Example 16: Mass Transfer to a Slowly Falling (Liquid) Drop in a Vapor or Gas 26 Prototype Example 17: Convection/diffusion to the Surface of a Circular Rotating Disk (Levich) 27 Prototype Example 18: CFD-based Transport Modelling of a CVD Reactor Finite Difference-based Numerical Methods 1 Introduction (Applications/Examples in Chemical Engineering) Objective 2 Linear Algebraic Equations 3 Gauss Elimination 4 Gauss-Jordan 5 Matrix Inverse AA-1 = I 6 Thomas Algorithm (Tridiagonal Matrix) 7 Homogeneous Linear Algebraic Equations 8 Homogeneous Linear Algebraic Equations (continued) 9 Example of Eigenvalue or Characteristic Type of Problem 10 Nonlinear Algebraic Equations 11 Newton-Raphson (Multi-Variables) 12 Function Approximation: Interpolation 13 Newton’s Interpolation Formula 14-15 Numerical Integration 15-16 First Order ODE 17 Single Step Methods 18 Example 1 (RK-4) 19 Instability and stiffness for a system of ODEs 20 BVP (Boundary Value Problems)/2nd Order ODEs 21 BVP: 2nd Order ODEs (continued) 22 ID Parabolic PDE 23 Examples 24 Elliptic PDE (Method of Lines) 24 Example 1 25 Example 2: Elliptic PDE 26 Time-Dependent 2D Parabolic PDE: ADI Method 27 Example (ADI) Heterogeneous Chemical Reaction Engineering 1 Introduction 2 Introduction (continued) 3 Another Example of Developing Rate Expression for a Non-elementary Reaction 4 Reactors 5 Non-ideal Reactors (continued) 6 RTD (continued) 7 RTD (continued) 8 Non-Segregated Model 9 Dispersion Model 10 Catalysts and Catalytic Reactions 11 Adsorption/Desorption 12 Examples 13 Characterization of a Catalyst 14 Materials Characterization (continued) 15 Examples 16 Special Cases (continued) 17 Non-porous Catalyst (Interphase + Reaction) 18 Porous Catalyst (Intraphase Transport + Kinetics) 19-20 Examples 20-21 Examples 22 nth Order Reaction, Intraphase Transport + Reaction, Non-isothermal 23-24 Examples 24-25 Examples 26-27 Tubular Packed Bed Reactor 28 Deactivation (Catalyst).