Learn · Advanced Heat Conduction
Lecture 63 of 65Week 12
Lecture 63 : Finite Difference Method for Transient Heat Conduction Problems
Prof. Debasis Sarkar · IIT Kharagpur
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All the lectures
- 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 (Cont’d)
- 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 (Cont’d)
- Lecture 16 : Problems on Cylindrical Coordinate System
- Lecture 17 : Problems on Cylindrical Coordinate System (Cont’d)
- 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 (Cont’d)
- 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 (Cont’d)
- 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 (Cont’d)
- 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