Lecture 1 - Introductory Concepts
Lecture 2 - Fourier’s Law of Heat Conduction
Lecture 3 - General Heat Conduction Equation
Lecture 4 - Initial and Boundary Conditions for the Heat Equation
Lecture 5 - 1D Steady-State Heat Conduction and Kirchhoff Transformation
Lecture 6 - Extended Surfaces: Fins
Lecture 7 - Extended Surfaces: Fins (Continued...)
Lecture 8 - Sturm-Liouville Problem
Lecture 9 - Fourier Series
Lecture 10 - Fourier-Bessel Series
Lecture 11 - Fourier-Legendre Series
Lecture 12 - Tutorial on Fourier Expansions
Lecture 13 - Uniqueness of Solution and Introduction to Separation of Variables
Lecture 14 - Problems on Rectangular Coordinate System
Lecture 15 - Problems on Rectangular Coordinate System (Continued...)
Lecture 16 - Problems on Cylindrical Coordinate System
Lecture 17 - Problems on Cylindrical Coordinate System (Continued...)
Lecture 18 - Problems on Spherical Coordinate System
Lecture 19 - Lumped Heat Capacity System
Lecture 20 - Distributed Systems: Exact Solution by SOV
Lecture 21 - 1D Transient Problems with Convective Boundary Conditions
Lecture 22 - 1D Transient Problems with Convective Boundary Conditions (Continued...)
Lecture 23 - Graphical Solution of Transient Problems: Heisler’s Chart
Lecture 24 - Semi-infinite and Infinite Solids: Fourier Integral
Lecture 25 - Semi-infinite and Infinite Medium in Cartesian Coordinate System
Lecture 26 - Semi-infinite Medium in Cylindrical and Spherical Coordinates
Lecture 27 - Semi-infinite Medium: The Similarity Method
Lecture 28 - Semi-infinite Medium: Laplace Transform Method
Lecture 29 - Introduction to Integral Transforms
Lecture 30 - Transient Heat Conduction in Finite Domain
Lecture 31 - Transient Heat Conduction in Finite Domain (Continued...)
Lecture 32 - Steady-State Heat Conduction in Finite Domain
Lecture 33 - Heat Conduction in Semi-infinite/Infinite Domain
Lecture 34 - Hankel Transforms: Heat Conduction in Cylindrical Coordinates
Lecture 35 - Duhamel’s Method: Time-Dependent Boundary Conditions
Lecture 36 - Duhamel’s Method: Discontinuity in Boundary Condition
Lecture 37 - Applications of Duhamel’s Method: Examples
Lecture 38 - Introduction to Green’s Function
Lecture 39 - Determination of Green’s Function and Solution of Heat Equation
Lecture 40 - Moving Interface Problems
Lecture 41 - Moving Interface Problems (Continued...)
Lecture 42 - A Single-Region Phase-Change Problem: Stefan’s Exact Solution
Lecture 43 - A Two-Region Phase-Change Problem: Neumann’s Exact Solution
Lecture 44 - Solution of Phase-Change Problems: Similarity Method and Quasi-Steady Approximation
Lecture 45 - Representation of Local Heat Sources by Delta Function
Lecture 46 - Heat Conduction in a Slab with Local Heat Sources
Lecture 47 - Heat Conduction in a Long Solid Cylinder with Local Heat Sources
Lecture 48 - Heat Conduction in a Solid Sphere with Local Heat Sources
Lecture 49 - Infinite Region with Point Heat Sources and Heat Conduction with Moving Heat Sources
Lecture 50 - Introduction to Integral Method
Lecture 51 - Integral Method for Semi-Infinite Medium
Lecture 52 - Integral Method for Problems with Temperature Dependent Thermo-physical Properties
Lecture 53 - Integral Method for Heat Conduction with Phase Change
Lecture 54 - Integral Method for Finite Region and A Brief Introduction to Method of Residuals
Lecture 55 - An Introduction to Porous Media
Lecture 56 - Heat Conduction Equation for Porous Media
Lecture 57 - Heat Conduction for Porous Media: Examples
Lecture 58 - Introduction to Heat Conduction in Anisotropic Solids
Lecture 59 - Heat Conduction in Anisotropic Solids
Lecture 60 - Introduction to Numerical Solution for Heat Conduction Problems
Lecture 61 - Finite Difference Method for 1D Heat Conduction Problems
Lecture 62 - Finite Difference Method for 2D Heat Conduction Problems
Lecture 63 - Finite Difference Method for Transient Heat Conduction Problems
Lecture 64 - MATLAB Functions for Solution of Heat Conduction Problems
Lecture 65 - MATLAB PDE Toolbox for Solution of Heat Conduction Problems
