MA/MSCMT-07
June Examination 2016
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. Use of non-programable calculator is allowed in this paper.
Section A 8 × 2 16
(Very Short Answer Questions)
Note: Section contains 8 very short answer type questions. Examinees have to attempt all questions. Each question is of 2 marks and maximum word limit is 30 (thirty) words.
Define viscosity.
What do you understand by dynamical similarity?
Define Brinkmann number.
Explain dissipation of Energy.
Define stagnation point flow.
Define the concept of equation of continuity.
Define plane poiseulle flow.
(viii) Define boundary layer.
293
MA/MSCMT-07 1100 3 (P.T.O.)
MA/MSCMT-07 1100 3 (Contd.)
293
Section B 4 × 8 32
(Short Answer Questions)
Note: Section contains 8 short answer type questions.
Examinees will have to answer any 4 (four) questions.
Each question is of 8 marks. Examinees have to delimit
each answer in maximum 200 words.
Discuss stress in a fluid:
When the fluid is in rest
When the fluid is in motion
Derive equation of continuity for the moving viscous fluid.
Obtain non-dimensional parameters using p-theorem for
viscous compressible fluid motion.
Obtain temperature distribution for the plane Couette flow
and show that it depends on the product of Eckert and
Prandtl numbers.
Discuss the flow due to an oscillating plane wall.
Write short note plane Couette flow with Porous wall.
Derive momentum thickness in boundary layer flow.
Discuss Hiemenz flow.
MA/MSCMT-07 1100 3
293
Section C 2 × 16 32
(Long Answer Questions)
Note: Section contains 4 long answer type questions.
Examinees will have to answer 2 questions. Each
questions is of 16 marks. Examinees have to delimit each
answer in maximum 500 words.
10) Derive equation of energy for the motion of viscous
compressible fluid.
11) Define following with their significance:
Critical Reynolds number
Mach number
Prandtl number
Grashoff number
12) Discuss starting flow in a pipe.
13) Obtain Blasius-Topfer solution for the boundary layer flow on
a flat plate.