# Syllabus and Grading details

Μηχανική

24 Οκτ 2013 (πριν από 4 χρόνια και 6 μήνες)

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MEL 807
: Computational Heat Transfer (2
-
0
-
4)

Course Coordinator
: Dr. Prabal Talukdar

Room No: III, 357

E
-
mail:prabal@mech.iitd.ac.in

Course
webpage
:

http://web.iitd.ac.in/~prabal/courses.html

Pre
-
requisite:

Fluid Mechanics and Heat Transfer

Fortran or C Programming

Lectures: Tuesday, Friday: 10
-
11 a.m.

(Room

No: V 315
)

Lab: Tuesday
:
1
-
5

p.m.

Syllabus

Mathematical Description of the Physical Phenomena
-

Governing equations

mass, momentum,
energy,
species, General form of the scalar transport equation, Elliptic, parabolic and hyperbolic equations, Behavior of
the scalar transport equation with respect to these equation type

(2 lectures
)

Discretization
Methods
-

Methods for
deriving discretization equations
-
finite difference and

f
inite volume
method
, Method for solving discr
etization equations, C
onsisten
cy,
stability and convergence

(3

lectures)

Diffusion Equation
-

1D
-
2D steady diffusion
, Source terms, non
-
linearity
, Boundary conditions,
interface
diffusion coefficient,
Under
-
relaxation, Solution of linear equations (p
reliminary), Unsteady diffusion
,
Explicit,
Implicit and Crank
-
Nicolson scheme,
Two dimensional conduction, Accuracy, stability and convergence revisite
d

(
8

lectures
)

Convection and Diffusion
-

Steady one
-
dimensional convect
ion and diffusion, Upwind, exponential, hybrid,
power, QUICK scheme
, Two
-
dimensional convection
-
diffusion, Accuracy of Upwind scheme;
false diffusion and
dispersion
, Boundary con
ditions

(
5

lectures)

Flow Field Calculation
-

Incompressibility issues and pressure
-
velocity coupling, Primitive variable versus other
methods, Vorticity
-
stream function formulation, Staggered grid, SIMPLE family of algo
rithms

(5

l
ectures)

Nu
m
erical Methods for Radiation
-

Radiation exchange in enclosures composed of diffuse gray surfaces,
Finite
volume method for radiation, Coupled radiation
-
conduction

for participating media

(4

lectures)

Grid Generation
-

(2

lectures)

Total lectures (tentative 29)

Evaluation
:

Assignment: 5
0%

Minor Test I: 1
0
%

Minor Test II: 15%

Major Test: 25
%

Total: 100%

Textbook:

Numerical Heat Transfer and Fluid Flow: Suhas V. Patankar

Reference book:

Computational Fluid Dynamics: Jr. A
nderson

Computational Fluid Mechanics and Heat T
ransfer: Anderson, Tanehil and P
letcher

Computational Methods for Fluid dynamics: Ferziger and Peric