Msc First Semester Maths Question Paper 2025 Pdf Download : Msc First Semester Maths Question Paper 2025 Pdf
Here you can download MSc Maths 1st Year Question Papers Pdf Download MSc Maths 1st Year Question Papers Pdf Download 2025 MSc 1st Semester Maths Question Paper 2025 Pdf MSc Maths Question Paper with Answers Pdf 2025 MSc 1st Semester Maths (Fluid Dynamics) Question Paper 2024-25 Pdf
Paper Code: 41154
B-1504
M.Sc. Mathematics (Semester First) Examination, 2025
Fluid Dynamics
Time: Three Hours ] [Maximum Marks: 70
Note: Attempt all the Sections as per instructions.
Section-A
(Short Answer Type Questions)
Note: Attempt any four questions out of the follow- ing.
Each question carries 07 marks. Answer are required not exceeding 300 words.
1. The velocity distribution of a certain two dimensional flow is given by u=Ay+B and v=Ct Where A,B,C are constants. Obtain the equation of the motion of fluid particles in Lagrangian method.
2. The velocity field at a point in fluid is given as =(x/t, y,0) obtain path lines.
3. Show thattan’t + cot’t cot’t 1 is a possible form for the boundary surface of a liquid?
4. State and prove minimum energy theorem.
5. A velocity field is given by q = -xi + (y + t)j Find the stream function and the stream lines for this field at t-2.
6. What arrangement of sources and sinks will give rise to the function w = log(z-)?
7. A circular cylinder is placed in a uniform stream, find the force acting on the cylinder.
8. State and prove Kelvin’s circulation theorem.
MSc 1st Semester Maths (Fluid Dynamics) Question Paper 2024-25 Pdf
Section-B
(Long Answer Type Questions)
Note: Attempt any three questions out of the fol- lowing.
Each question carries 14 marks. Answer required not exceeding 600-800 words.
9. Find equation of continuity in cylindrical polar coordinates.
10. An infinite fluid in which as a spherical hollow of radius a is initially at rest under the action of no force. If a constant pressure is applied at infinity, show that the time of filling up the cavity is πα² (2*(1/3)}
11. State and prove Bernoulli’s theorem.
12. State and prove theorem of Blasius.
13. In an irrotational motion in two dimensions, prove that ( partial q partial x )^ 2 +( partial q partial y )^ 2 =q nabla^ 2 q
14. Between the fixed boundaries theta = pi/6 and theta = – pi/6 there is a two dimensional liquid motion due to a source at the point (r = c, theta = alpha) and a sink at the origin, absorbing water at the same rate as the source produces it. Find the stream function, and show that one of the stream lines is a part of the curve r ^ 3 sin 3a = c ^ 3 sin 30.
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