ChE Triad: Lecture Notes Chemical Engineering

Contents: I. 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. II. 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). III. 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).

ChE Triad Lecture Series materials were prepared during the pandemic when faculty were quarantined at home, and classes were held in online mode. It was a unique and first-hand experience for me to deliver online lectures. The online lectures ran for almost three academic years or six semesters. During that period, we also uploaded lecture materials at the e-server of the institute, which students could access. As an instructor, I taught Transport Phenomena, Finite Difference based Numerical Methods, and Heterogeneous Chemical Reaction Engineering at the graduate level. The lecture materials that I prepared during the online classes have culminated in ChE Triad Lecture Series. Most of the Indian as well as foreign universities consider these three courses to be compulsory for graduate students. I hope that this lecture series shaped in a book are useful to readers, but I must caution students that they should not wholly depend on the materials covered in the book. Rather, they should refer the standard text books prescribed by their course instructors in regular offline classes. I have my opinion that a comprehensive understanding of the topics is possible only through the offline lectures. Thus, I have a plan to develop audio lectures in the near future, which will be instructive and recorded in sync with the present e-lectures. To this end, this effort is painfully dedicated to all Covid warriors who risked their health and life in serving people during the pandemic, while we enjoyed delivering online lectures at home.