Department of Mechanical Engineering
Indian Institute of Technology Guwahati
Guwahati - 781039, INDIA
ME 651: Numerical Methods for Thermal Radiation Heat Transfer: 3-0-0-6
Jan – April 2016
Instructor: Prof. Subhash C. Mishra, FNAE, FASME, FIE(I)
Fundamentals of thermal radiation: What is thermal radiation?;
1-4
Basic differences between conduction, convection and radiation;
emissive power; solid angles; radiative intensity; radiative heat flux;
surface radiation; volumetric radiation/radiation in a participating
medium; treatment methods for surface radiation and volumetric
radiation.
Radiative transfer without participating media:
view factor;
5-6
methods for calculating view factors; radiative exchange between
black surfaces; radiative exchange between diffuse-gray surfaces.
Basics of radiative transfer with participating media: absorption,
7-8
emission and scattering; equation of radiative transfer; divergence of
radiative heat flux; overall energy conservation equation; radiative
equilibrium; non-radiative equilibrium.
Revision of lectures 1 - 8
9
Discrete transfer method (DTM) for the 1-D planar medium:
10
absorbing, emitting, isothermal medium with black boundaries
(DTM)
Methods for solving radiative transfer problems: 1-D planar
medium; radiative equilibrium; radiative non-equilibrium; absorbing,
emitting
medium;
absorbing-emitting-scattering
medium;
Page 1 of 4
CA – 1
black
11-14
Quizzes
Assignments
Topics
Lectures
COURSE OUTLINE
Quizzes
Assignments
Lectures
Topics
boundaries; reflecting boundaries.

Quadratures in solving numerical radiative transfer
11

Discrete transfer method (DTM)
12

Discrete ordinate method (DOM) – classical DOM and
13
Modified DOM

Finite volume method (FVM)
14
CA - 2
(DTM,
DOM, FVM)
[20%]
Revision of lectures 10 - 14
15
Combined radiation, conduction and convection problems:
Q#1
16 - 20
[40%]
solving energy equation by the finite difference method, finite volume
method, lattice Boltzmann method; solving a transient conductionradiation heat transfer problem in a 1-D planar participating medium;
derivation of energy equation and calculation of radiative information
using any of the methods such as the DTM, the DOM and the FVM.
Analysis of radiative transfer problem involving collimated (sun
21-22
CA – 3
light/laser) radiation (steady-state): applications and analysis;
(Combined
problems involving short-pulse radiation; formulation in the DTM, the
mode)
DOM and the FVM.
[20%]
Revision of lectures 16 - 22
23
Analysis of radiative transfer problem involving collimated (sun
24 -26
light/laser) radiation (transient-state: short-pulse) – applications
and analysis; formulation in the DTM, the DOM and the FVM;
problems involving short-pulse radiation; formulation in the DTM, the
DOM and the FVM.
Analysis of radiative transfer in 2-D rectangular enclosure:
Page 2 of 4
27-28
CA – 4
Quizzes
Assignments
Lectures
Topics
isothermal medium; non-isothermal medium; absorbing, emitting
(1-D
medium; absorbing, emitting, scattering medium – Analysis using the
collimated)
DTM, the DOM and the FVM
[15%]
Analysis of radiative transfer in a cylindrical and spherical
29 - 32
enclosures: 1-D infinite concentric cylindrical enclosure; concentric
spherical enclosure; isothermal medium, non-isothermal medium;
absorbing, emitting medium; absorbing, emitting and scattering
medium; analysis using the FVM
Revision of lectures 24 - 32
Monte Carlo method (MCM):
33
1-D planar isothermal medium
34 - 35
CA – 5
2-D
medium; non-isothermal medium; absorbing, emitting medium;
rectangular-
absorbing, emitting and scattering medium; MCM for 2-D rectangular
DOM and FVM
enclosure
[20%]
Comparisons of the
DTM, the DOM, the FVM and the MCM
36
results for radiative transport in a 1-D planar absorbing, emitting
scattering medium
Q#2
[60%]
and also for a combined mode conduction-
radiation problem
Analytic method: 1-D planar isothermal and non-isothermal medium
37-38
Flux method: 1-D planar medium
39
Zonal method: 1-D and 2-D Cartesian enclosures
40
P-N approximation: 1-D planar medium
41
Finite element method (FEM)
42
Quizzes will be held outside the class hours.
Books
M. F. Modest, Radiative Heat Transfer, McGraw-Hill, third edition, Academic Press, 20013
R. Siegel, J. R. Howell and M.P. Menguc, Thermal Radiation Heat Transfer, fifth edition, CRC Press,
Taylor & Francis, New York, 20011.
Reference
Research papers of Prof. Subhash C. Mishra listed on his website: http://www.iitg.ernet.in/scm
Page 3 of 4
Scheme of Evaluation
Assignments: 5 Nos.
Quizzes: 2
Mid Semester Examination
End Semester Examination
:
:
:
:
15%
15%
30%
40%
Note
All assignments will require programming knowledge. Students can program in any language. At the
time of evaluation, students will be asked to run the code(s) and make some changes. Results need
to be submitted in graphical forms and some interpretations of results will be required. Students
should familiarize with tech-plot for plotting the graphs.
Softcopy of the home assignments are to be submitted in a prescribed format.
Graded home assignments will be returned on the first working day after the sixth day of the due date of the
assignment submission.
Class Schedule: Mon: 9.00 – 9.55, Thursday: 10.00 – 10.55; Friday: 11.00 – 11.55
All classes in Room No.: 1005
10
31
12 classes
Wednesday, 27 January 2016
Tuesday, 22 March 2016
Monday, 18 April 2016
Week
Fri
4
11
18
25
Fri
3
10
17
24
31
10+1=11
classes
Thurs
7
14
21
28
Thurs
Mon
5
12
19
26
Week
4
11
18
25
April
Mon
1
8
15
22
29
March
Fri
8
15
22
29
Mon
Week
Fri
Thurs
7
11
14
18
21
25
28
8 +1 =9
classes
February
Thurs
2
3
4
5
Mon
Week
January
4
11
18
25
7
14
21
28
1
8
15
22
29
11 classes
Classes with Friday Time Table
Classes with Friday Time Table
Classes with Wednesday Time Table
Jan – April 2015: 9 +12+11+10 = 42 Classes
Mid Semester Examination: Mon, 29 February 2016 - Sun, 6 March 2016
End Semester Examination: Sat, 30 April 2016, (Mon – Sat) 2 -7 May 2016
Availability of the instructor
Instructor will clarify all doubts related to his instructions. Until 30 minutes after every class, students can meet
without any appointment in my office, Room No.: C 204, C- Block, ME Department. After that, with a prior
appointment, students can come prepared with their doubts.
Page 4 of 4