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What You'll Learn
Concepts:
Dimensional Analysis in Transport Processes to Reduce Variables via Reynolds and Nusselt Numbers
Transport Processes in Fluids: Continuum Description and Molecular Averaging Scales
Spherical Harmonic Solutions to the Steady Heat Conduction Equation in Spherical Coordinates
Point Source Green's Function Method for Diffusion Equations
Heat and Mass Conservation Equations in Cartesian Coordinates
Heat Conduction in Cylindrical Coordinates Using Separation of Variables and Bessel Functions
Dimensional Analysis and the Buckingham Pi Theorem for Transport Processes
Momentum Balance and Hagen-Poiseuille Flow in Cylindrical Coordinates
High Peclet Number Heat Transport Past a Flat Plate in Convection-Diffusion Flows
One-Dimensional Heat Diffusion in Cartesian Coordinates Between Two Flat Plates
Source Terms in Unidirectional Transport Equations for Heat, Mass, and Momentum
Separation of Variables and Spherical Bessel Functions in Heat Conduction
Diffusion Mechanisms and Coefficients in Gases: Kinetic Theory and Mean Free Path
Pressure Driven Plane Poiseuille Flow in Cartesian Coordinates With Viscous Heating
Mass and Energy Conservation Equations in Curvilinear Coordinates
Diffusion Equation in Spherical Coordinates via Separation of Variables for Effective Conductivity
Womersley Number Perturbation Analysis for Oscillatory Pipe Flow
Unidirectional Transport in Cylindrical Coordinates via Similarity Solutions for Line Sources
Mechanisms of Diffusion and Momentum Transfer in Gases and Liquids
Momentum Source in Unidirectional Flows Using Cartesian Coordinates for Navier-Stokes Analysis
Dimensional Analysis and Physical Interpretation of Transport Diffusivities in Fluid Mechanics
Similarity Solutions for Unidirectional Diffusion in Cartesian Coordinates
Similarity Solutions for Convection-Diffusion Mass Transfer: Error Function Profiles and Sherwood Number Correlations
Mass Conservation Equations in Unidirectional Cylindrical Coordinates for Transport Processes
High Peclet Number Heat Transfer from a Gas Bubble Using Boundary Layer Theory
Oscillatory Flow in Pipes: Low and High Reynolds Number Limit Analysis using Cylindrical Coordinates
Mass and Energy Conservation in Cartesian Coordinates using Shell Balance Method
Green’s Functions and the Method of Images for the Spherical Diffusion Equation
Diffusion in Spherical Coordinates using Separation of Variables and Legendre Polynomials
Convection-Diffusion Balance and Constitutive Flux Laws in Fluid Transport
Multipole Expansions of Diffusion Equation in Spherical Coordinates for Heat Conduction Analysis
Unsteady Heat Diffusion in Finite Channels Using Separation of Variables and Cartesian Coordinates
Convection-Diffusion Heat Transfer from a Sphere at High Peclet Number in Fluid Flow
Oscillatory Flows in Unidirectional Transport Process