MA/MSCMT-07
December Examination 2017
M.A./M.Sc. (Final) Mathematics Examination
Viscous Fluid Dynamics
Paper MA/MSCMT-07
Time 3 Hours Max. Marks 80
Note: The question paper is divided into three sections B and C.
Section A 8 × 2 16
(Very Short Answer Type Questions)
Note: Section contain 8 very short Answer Type Questions. Examinees have to attempt all questions. Each question is of 02 marks and maximum word limit is thirty words.
State Kelvin's circulation theorem.
What do you mean by critical Reynolds number?
Define Brinkman number.
Define TORQUE.
Give the expression for the Velocity distribution for the flow in plane coquette flow with porous boundaries.
Define unsteady motion.
293
MA/MSCMT-07 1300 3 (P.T.O.)
293
MA/ MSCMT-07 1300 3 (Contd.)
What do you mean by incompressible fluid motion.
(viii) Write the vector form of equation of continuity.
Section B 4 × 8 32
(Short Answer Type Questions)
Note: Section contain 08 short Answer Type Questions. Examinees
will have to answer any four question. Each question is of
08 marks. Examinees have to delimit each answer in maximum
200 words.
Explain inspection analysis.
Explain flow between two parallel porous plates.
Explain steady laminar flow of viscous incompressible fluid between
two infinite stationary parallel plates.
Obtain Blasius series solution for f about 0
Write a short note on Thermal Boundary layer.
What is the physical importance of non-dimension parameters.
Discuss the Froude number.
Describe plane coquette flow with porous wall.
The stress tensor at a point P is: σ ij
70
2
0
5
0
2
0
4

Determine
the stress vector on the plane at P whose unit normal is
n 3 i j k
2
3
2
3
1 t t t t
293
MA/ MSCMT-07 1300 3
Section C 2 × 16 32
(Long Answer Type Questions)
Note: Section contain 04 Long Answer Type Questions. Examinees
will have to answer any two questions. Each question is of
16 marks. Examinees have to delimit each answer in maximum
500 words.
10) Obtain Navier-stokes equation of motion in Cartesian coordinates
for two dimensional incompressible viscous flow.
11) Discuss the flow due to a plane wall suddenly set in motion in its
own plane in an infinite mass of viscous incompressible fluid, which
is otherwise at rest.
12) Discuss stagnation point flow of a incompressible visocus fluid
(Hiemang flow).
13) Discuss Oseen's flow past a sphere.