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Course10310567765 lectures

Advanced Heat Conduction

Prof. Debasis Sarkar · IIT Kharagpur

Start with lecture 1 At NPTEL

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

  1. Lecture 1 : Introductory Concepts YouTube
  2. Lecture 2 : Fourier’s Law of Heat Conduction YouTube
  3. Lecture 3 : General Heat Conduction Equation YouTube
  4. Lecture 4 : Initial and Boundary Conditions for the Heat Equation YouTube
  5. Lecture 5 : 1D Steady-State Heat Conduction and Kirchhoff Transformation YouTube
  6. Lecture 6 : Extended Surfaces: Fins YouTube
  7. Lecture 7 : Extended Surfaces: Fins (Cont’d) YouTube

Week 2

  1. Lecture 8 : Sturm-Liouville Problem YouTube
  2. Lecture 9 : Fourier Series YouTube
  3. Lecture 10 : Fourier-Bessel Series YouTube
  4. Lecture 11 : Fourier-Legendre Series YouTube
  5. Lecture 12 : Tutorial on Fourier Expansions YouTube

Week 3

  1. Lecture 13 : Uniqueness of Solution and Introduction to Separation of Variables YouTube
  2. Lecture 14 : Problems on Rectangular Coordinate System YouTube
  3. Lecture 15 : Problems on Rectangular Coordinate System (Cont’d) YouTube
  4. Lecture 16 : Problems on Cylindrical Coordinate System YouTube
  5. Lecture 17 : Problems on Cylindrical Coordinate System (Cont’d) YouTube
  6. Lecture 18 : Problems on Spherical Coordinate System YouTube

Week 4

  1. Lecture 19 : Lumped Heat Capacity System YouTube
  2. Lecture 20 : Distributed Systems: Exact Solution by SOV YouTube
  3. Lecture 21 : 1D Transient Problems with Convective Boundary Conditions YouTube
  4. Lecture 22 : 1D Transient Problems with Convective Boundary Conditions (Cont’d) YouTube
  5. Lecture 23 : Graphical Solution of Transient Problems: Heisler’s Chart YouTube

Week 5

  1. Lecture 24 : Semi-infinite and Infinite Solids: Fourier Integral YouTube
  2. Lecture 25 : Semi-infinite and Infinite Medium in Cartesian Coordinate System YouTube
  3. Lecture 26 : Semi-infinite Medium in Cylindrical and Spherical Coordinates YouTube
  4. Lecture 27 : Semi-infinite Medium: The Similarity Method YouTube
  5. Lecture 28 : Semi-infinite Medium: Laplace Transform Method YouTube

Week 6

  1. Lecture 29 : Introduction to Integral Transforms YouTube
  2. Lecture 30 : Transient Heat Conduction in Finite Domain YouTube
  3. Lecture 31 : Transient Heat Conduction in Finite Domain (Cont’d) YouTube
  4. Lecture 32 : Steady-State Heat Conduction in Finite Domain YouTube
  5. Lecture 33 : Heat Conduction in Semi-infinite/Infinite Domain YouTube
  6. Lecture 34 : Hankel Transforms: Heat Conduction in Cylindrical Coordinates YouTube

Week 7

  1. Lecture 35 : Duhamel’s Method: Time-Dependent Boundary Conditions YouTube
  2. Lecture 36 : Duhamel’s Method : Discontinuity in Boundary Condition YouTube
  3. Lecture 37 : Applications of Duhamel’s Method: Examples YouTube
  4. Lecture 38 : Introduction to Green’s Function YouTube
  5. Lecture 39 : Determination of Green’s Function and Solution of Heat Equation YouTube

Week 8

  1. Lecture 40 : Moving Interface Problems YouTube
  2. Lecture 41 : Moving Interface Problems (Cont’d) YouTube
  3. Lecture 42 : A Single-Region Phase-Change Problem: Stefan’s Exact Solution YouTube
  4. Lecture 43 : A Two-Region Phase-Change Problem: Neumann’s Exact Solution YouTube
  5. Lecture 44 : Solution of Phase-Change Problems: Similarity Method and Quasi-Steady Approximation YouTube

Week 9

  1. Lecture 45 : Representation of Local Heat Sources by Delta Function YouTube
  2. Lecture 46 : Heat Conduction in a Slab with Local Heat Sources YouTube
  3. Lecture 47 : Heat Conduction in a Long Solid Cylinder with Local Heat Sources YouTube
  4. Lecture 48 : Heat Conduction in a Solid Sphere with Local Heat Sources YouTube
  5. Lecture 49 : Infinite Region with Point Heat Sources and Heat Conduction with Moving Heat Sources YouTube

Week 10

  1. Lecture 50 : Introduction to Integral Method YouTube
  2. Lecture 51 : Integral Method for Semi-Infinite Medium YouTube
  3. Lecture 52 : Integral Method for Problems with Temperature Dependent Thermo-physical Properties YouTube
  4. Lecture 53 : Integral Method for Heat Conduction with Phase Change YouTube
  5. Lecture 54 : Integral Method for Finite Region and A Brief Introduction to Method of Residuals YouTube

Week 11

  1. Lecture 55 : An Introduction to Porous Media YouTube
  2. Lecture 56 : Heat Conduction Equation for Porous Media YouTube
  3. Lecture 57 : Heat Conduction for Porous Media: Examples YouTube
  4. Lecture 58 : Introduction to Heat Conduction in Anisotropic Solids YouTube
  5. Lecture 59 : Heat Conduction in Anisotropic Solids YouTube

Week 12

  1. Lecture 60 : Introduction to Numerical Solution for Heat Conduction Problems YouTube
  2. Lecture 61 : Finite Difference Method for 1D Heat Conduction Problems YouTube
  3. Lecture 62 : Finite Difference Method for 2D Heat Conduction Problems YouTube
  4. Lecture 63 : Finite Difference Method for Transient Heat Conduction Problems YouTube
  5. Lecture 64 : MATLAB Functions for Solution of Heat Conduction Problems YouTube
  6. Lecture 65 : MATLAB PDE Toolbox for Solution of Heat Conduction Problems YouTube

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.
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