Download PTU. I.K. Gujral Punjab Technical University (IKGPTU) M.Tech Mech Eng 2nd Semester 74980 COMPUTATIONAL FLUID DYNAMICS Question Paper.
Roll No. Total No. of Pages : 02
Total No. of Questions : 08
M.Tech. (ME) (2017 Batch) (Sem.?2)
COMPUTATIONAL FLUID DYNAMICS
Subject Code : MTME-204
M.Code : 74980
Time : 3 Hrs. Max. Marks : 100
INSTRUCTIONS TO CANDIDATES :
1. Attempt any FIVE questions in all.
2. Each question carries TWENTY marks.
1. a) How can CFD be applied and used to improve cost-effective design procedures in
the automotive industry?
b) Why is it important to correctly define the computational domain for the fluid flow
problem? Give an example of this.
2. A simplified one-dimensional inviscid, incompressible, laminar flow is defined by the
following momentum equation in the x direction :
1 u u p
u
t x x
? ? ?
? ?
? ? ? ?
Name each term and discuss their contribution to the flow.
3. a) What is the second term in the central difference approximation for a first- order
derivative (given below) called and what does it measure?
1, ?1, 2
?
( )
2
i j i j
O x
x x
?
? ?
? ? ? ?
? ? ?
? ?
? ?
? ?
b) Which of the following is most accurate and why? Forward difference, backward
difference, and central difference.
4. a) What are the main advantages and disadvantages of discretization of the governing
equations through the finite-volume method?
b) Is the finite-volume method more suited for structured or unstructured mesh
geometries? Why?
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1 | M-74980 (S9)-2746
Roll No. Total No. of Pages : 02
Total No. of Questions : 08
M.Tech. (ME) (2017 Batch) (Sem.?2)
COMPUTATIONAL FLUID DYNAMICS
Subject Code : MTME-204
M.Code : 74980
Time : 3 Hrs. Max. Marks : 100
INSTRUCTIONS TO CANDIDATES :
1. Attempt any FIVE questions in all.
2. Each question carries TWENTY marks.
1. a) How can CFD be applied and used to improve cost-effective design procedures in
the automotive industry?
b) Why is it important to correctly define the computational domain for the fluid flow
problem? Give an example of this.
2. A simplified one-dimensional inviscid, incompressible, laminar flow is defined by the
following momentum equation in the x direction :
1 u u p
u
t x x
? ? ?
? ?
? ? ? ?
Name each term and discuss their contribution to the flow.
3. a) What is the second term in the central difference approximation for a first- order
derivative (given below) called and what does it measure?
1, ?1, 2
?
( )
2
i j i j
O x
x x
?
? ?
? ? ? ?
? ? ?
? ?
? ?
? ?
b) Which of the following is most accurate and why? Forward difference, backward
difference, and central difference.
4. a) What are the main advantages and disadvantages of discretization of the governing
equations through the finite-volume method?
b) Is the finite-volume method more suited for structured or unstructured mesh
geometries? Why?
2 | M-74980 (S9)-2746
5. a) Write down the formulation of central difference scheme for u velocity in the x
direction. What is its truncation error in terms of Ax? And state the order of this
discretization scheme.
b) Why are higher order upwind schemes more favorable than the first-order upwind
scheme?
6. What is the purpose of the SIMPLE scheme? Does it give us a direct solution or depend
on the iterative concept?
7. Consider the problem of steady-heat conduction in a large brick plate with a uniform
heat generation. The faces A and B as shown in Figure 1 below are maintained at
constant temperatures. Write down the generic governing equation. The diffusion
coefficient ? governing the heat conduction problem becomes the thermal conductivity k
of the material. For a given thickness L = 1.5cm, with constant thermal conductivity
k = 5W/mK, Temperatures at T
A
and T
B
are 100?C and 400?C respectively, and heat
generation q is 400 kW/m
3
. Determine and plot the steady-state temperature distribution
in the plate.
Note: Take atleast four control volumes
FIG.1
8. Why do the results obtained through numerical methods differ from the exact solutions
that are solved analytically? What are some of the causes for this difference?
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
T
A
T
B
B
A
C
y
z
x
L
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This post was last modified on 13 December 2019