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Fundamentals of Transport Processes

Fundamentals of Transport Processes. Instructor: Prof. V. Kumaran, Department of Chemical Engineering, IISc Bangalore. This course provides a fundamental understanding of the convection and diffusion process in fluids, and how these determine the rates of transport of mass, heat and momentum. Topics covered in this course include Dimensional analysis; Diffusion; Unidirectional transport in cartesian coordinates; Unidirectional transport in curvilinear coordinates; Mass and energy conservation equations; Transport due to diffusion; and Transport at high peclet number. (from nptel.ac.in)

Lecture 30 - Diffusion Equation in Spherical Coordinates: Separation of Variables (cont.)

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Dimensional Analysis

Lecture 01 - Introduction

Lecture 02 - Dimensional Analysis

Lecture 03 - Dimensional Analysis (cont.)

Lecture 04 - Physical Interpretation of Dimensional Groups

Diffusion

Lecture 05 - Continuum Description

Lecture 06 - Mechanisms of Diffusion

Lecture 07 - Mechanisms of Diffusion (cont.)

Unidirectional Transport in Cartesian Coordinates

Lecture 08 - Unidirectional Transport in Cartesian Coordinates

Lecture 09 - Unidirectional Transport in Cartesian Coordinates: Similarity Solutions

Lecture 10 - Unidirectional Transport in Cartesian Coordinates: Similarity Solutions (cont.)

Lecture 11 - Unidirectional Transport in Cartesian Coordinates: Separation of Variables

Lecture 12 - Unidirectional Transport in Cartesian Coordinates: Separation of Variables (cont.)

Lecture 13 - Unidirectional Transport in Cartesian Coordinates: Oscillatory Flows

Lecture 14 - Unidirectional Transport in Cartesian Coordinates: Momentum Source in the Flow

Lecture 15 - Unidirectional Transport in Cartesian Coordinates: Heat and Mass Sources

Unidirectional Transport in Curvilinear Coordinates

Lecture 16 - Unidirectional Transport in Cylindrical Coordinates: Conservation Equations

Lecture 17 - Unidirectional Transport in Cylindrical Coordinates: Similarity Solutions

Lecture 18 - Unidirectional Transport in Cylindrical Coordinates: Separation of Variables

Lecture 19 - Unidirectional Transport in Cylindrical Coordinates: Steady Flow in a Pipe

Lecture 20 - Unidirectional Transport in Cylindrical Coordinates: Oscillatory Flow in a Pipe

Lecture 21 - Oscillatory Flow in a Pipe: Regular Perturbation Expansion

Lecture 22 - Oscillatory Flow in a Pipe: Singular Perturbation Expansion

Lecture 23 - Unidirectional Transport in Spherical Coordinates: Balance Equation

Lecture 24 - Unidirectional Transport in Spherical Coordinates: Separation of Variables

Mass and Energy Conservation Equations

Lecture 25 - Mass and Energy Conservation in Cartesian Coordinates

Lecture 26 - Mass and Energy Conservation in Cartesian Coordinates: Heat Conduction in a Cube

Lecture 27 - Mass and Energy Conservation in Spherical Coordinates: Balance Laws

Lecture 28 - Mass and Energy Conservation in Cylindrical Coordinates

Transport due to Diffusion

Lecture 29 - Diffusion Equation in Spherical Coordinates: Separation of Variables

Lecture 30 - Diffusion Equation in Spherical Coordinates: Separation of Variables (cont.)

Lecture 31 - Diffusion Equation in Spherical Coordinates: Effective Conductivity of a Composite

Lecture 32 - Diffusion Equation: Spherical Harmonics

Lecture 33 - Diffusion Equation: Delta Functions

Lecture 34 - Diffusion Equation: Multipole Expansions

Lecture 35 - Diffusion Equation: Green's Function Formulations

Transport at High Peclet Number

Lecture 36 - High Peclet Number Transport Flow Past a Flat Plate

Lecture 37 - High Peclet number Transport Heat Transfer from a Spherical Particle

Lecture 38 - High Peclet number Transport Heat Transfer from a Spherical Particle (cont.)

Lecture 39 - High Peclet number Transport Heat Transfer from a Gas Bubble

Lecture 40 - Summary