Conduction and Radiation

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Contents:
Introduction, radiation from a black body:
Introduction to three modes of heat transfer- conduction, convection and radiation. Importance of radiation, Mechanism of radiation,Electromagnetic spectrum.
Concept of black body, derivation of black body radiation laws from first principles – Planck’s law, Stefan Boltzmann law, Wien’s displacement law.
Universal black body function, F function charts.
Radiative properties of non-black surfaces:
Spectral directional emissivity, defintion of total and hemispherical quantities, hemispherical total emissivity.
Spectral directional absorptivity, Kirchoff law, directional and hemispherical absorptivity, hemispherical total absorptivity.
Concept of bi-directional reflectivity, bi-hemispherical spectral reflectivity, hemispherical total reflectivity.
Particiating media and concept of transmissivity, total transmissivity.
View factors:
Need for view factors, concept of view factors, mathematical definition.
View factor Algebra, Hottel’s crossed string method, view factors for 2D surfaces using algebra.
View factors from 2D surfaces using charts.
Enclosure analysis:
Radiosity Irradiation method for gray diffuse enclosures – Problems for 2 and 3 surface enclosures – parallel plate formula, radiation shields, concept of re-radiating surface.
Gas Radiation:
Introduction to gas radiation – The equation of transfer – derivation
Simple solutions to the equation of transfer.
Concept of mean beam length – Calculation of mean beam length for simple geometries from charts and formula.
Engineering treatment of gas radiation in enclosures – modified enclosure theory – problems to illustrate the modified enclosure theory.
Introduction to conduction:
Derivation of energy equation for conduction in three dimensions – Initial and boundary conditions.
Solution of simple problems in steady state conduction with analytical solutions – Concept of electrical analogy – fin heat transfer and concept of fin efficiency and fin effectiveness.
Unsteady conduction:
Concept of Biot number – Lumped capacitance formulation – simple problems – unsteady conduction from a semi-infinite solid- solution by similarity transformation method.
Solution of the general 1D unsteady problem by separation of variables and charts- example problems.
2D steady conduction and phase change problems:
Laplace equation – solution by variable separable method – concept of superposition and homogeneous boundary conditions.
Phase change problems – The Stefan and Neumann problems – analytical solutions.
Numerical solution of conduction problems:
Basic ideas of finite difference method – forward, backward and central differences – Discretization for the unsteady heat equation – simple problems.
Basis ideas of the finite volume method – application to Laplace and Poisson equations.

Course Curriculum

Mod-01 Lec-01 Importance of Thermal Radiation Details 42:1
Mod-01 Lec-02 Blackbody definition Details 52:56
Mod-01 Lec-03 Solid angle, spectral radiation intensity Details 49:19
Mod-01 Lec-04 Radiation pressure and radiation energy density Details 53:33
Mod-01 Lec-05 Relationship between Details 49:13
Mod-01 Lec-06 Candidate blackbody distribution functions contd… Details 48:53
Mod-01 Lec-07 Planck’s blackbody radiation distribution function Details 49:58
Mod-01 Lec-08 Planck’s distribution and Wien’s displacement law Details 49:28
Mod-01 Lec-09 Universal blackbody function Details 47:47
Mod-01 Lec-10 Emissivity Details 49:32
Mod-01 Lec-11 Emissivity contd… Details 43:6
Mod-01 Lec-12 Emissivity contd…. Details 47:2
Mod-01 Lec-13 Kirchoff law, Absorptivity Details 48:57
Mod-01 Lec-14 Kirchoff law, Absorptivity contd… Details 47:27
Mod-01 Lec-15 Problems on emissivity, absorptivity Details 50:32
Mod-01 Lec-16 Reflectivity Details 40:49
Mod-01 Lec-17 Transmissivity Details 47:5
Mod-01 Lec-18 Problems on reflectivity and transmissivity Details 49:5
Mod-01 Lec-19 Radiation heat transfer between surfaces Details 49:33
Mod-01 Lec-20 View factor Details 46:57
Mod-01 Lec-21 View factor contd… Details 50:55
Mod-01 Lec-22 View factor contd…. Details 50:3
Mod-01 Lec-23 Enclosure analysis Details 49:2
Mod-01 Lec-24 Enclosure analysis contd… Details 52:32
Mod-01 Lec-25 Enclosure analysis- Gray surface Details 51:8
Mod-01 Lec-26 Enclosure analysis- Non gray surfaces Details 52:50
Mod-01 Lec-27 Radiation in participating media Details 47:53
Mod-01 Lec-28 Solution to the RTE Details 50:30
Mod-01 Lec-29 Concept of mean beam length Details 50:26
Mod-01 Lec-30 Enclosure analysis in the presence of absorbing/ emitting gas Details 51:29
Mod-01 Lec-31 Emissivities and absorptivities of Gas mixtures Details 49:42
Mod-01 Lec-32 Conduction- Introduction Details 50:30
Mod-01 Lec-33 Conduction- Energy equation Details 51:8
Mod-01 Lec-34 Conduction- 1D, steady state Details 49:39
Mod-01 Lec-35 Conduction- 1D, heat generation Details 47:54
Mod-01 Lec-36 Fin heat transfer- I Details 52:29
Mod-01 Lec-37 Fin heat transfer- II Details 48:53
Mod-01 Lec-38 Conduction- Cylindrical and Spherical geometries Details 51:3
Mod-01 Lec-39 Transient conduction Details 53:8
Mod-01 Lec-40 Transient conduction contd… Details 47:51
Mod-01 Lec-41 Two dimensional steady state conduction Details 46:31
Mod-01 Lec-42 Analytical solution for Laplace equation Details 53:23
Mod-01 Lec-43 Numerical methods in conduction Details 49:54
Mod-01 Lec-44 Numerical methods in conduction contd… Details 54:51
Mod-01 Lec-45 Conduction with change of phase Details 49:38
Mod-01 Lec-46 Conduction with change of phase contd… Details 25:21

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