Course10310567765 lectures
Advanced Heat Conduction
Prof. Debasis Sarkar · IIT Kharagpur
About
This course will focus exclusively on principles and analysis of heat transfer by conduction. A wide range of mathematical techniques will be presented for formulations and analytical solutions of broad class of heat conduction problems. The course will cover analytical solutions of steady and transient one- and multi-dimensional heat conduction problems on various coordinate systems, heat conduction involving phase change, heat conduction with local heat source, and heat conduction in porous media. After completing the course, the participants will develop the required skills to model, analyze and solve a wide range of engineering problems involving heat transfer by conduction. The students will also find various analytical methods presented here in other areas of study or for individual research.
Intended audience: Chemical Engineering, Metallurgical Engineering, Agricultural Engineering, Aerospace Engineering, Mechanical Engineering, Practicing Engineers
Prerequisites: Preferably Heat Transfer (UG Level) and Engineering Mathematics or equivalent.
Lectures
Week 1
- 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)
Week 2
- 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
Week 3
- 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
Week 4
- 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
Week 5
- 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
Week 6
- 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
Week 7
- 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
Week 8
- 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
Week 9
- 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
Week 10
- 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
Week 11
- 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
Week 12
- 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
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kharagpur
- Department
- Chemical Engineering
- Teacher
- Prof. Debasis Sarkar
- Level
- Graduate
- Language
- English
- Subjects
- Chemistry, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed