Question Paper: Fluid Mechanics - 1 : Question Paper May 2014 - Civil Engineering (Semester 3) | Mumbai University (MU)
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## Fluid Mechanics - 1 - May 2014

### Civil Engineering (Semester 3)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.

### Attempt any four of following

1 (a) What is monometer? How they are classified.(5 marks) 1 (b) What are the assumptions made in deriving Bernoulli's equation? Explain limitations.(5 marks) 1 (c) Explain capillarity and surface tension.(5 marks) 1 (d) Write a short note on flow past a Rankine oval body.(5 marks) 1 (e) Explain discharge over a Broad crested weir.(5 marks) 1 (f) What is an orifice and a multipiece? Give classification of orifices.(5 marks) 2 (a) Describe specific weight and compressibility of fluid.(4 marks) 2 (b) Show relationship between dynamic viscosity and velocity gradient. Classify fluids based on this relationship.(6 marks) 2 (c) Two large horizontal plane surface are 20m apart. This space is filled with glycerence. Find what force is required to drag a very thin plate of area 0-6m2 between the two surface at a speed of 0-70m/sec.
i) If the plate is equidistant from the two surfaces.
ii) If the plate is 7-5mm from the one of the surfaces. Take the dynamic viscosity of glycerene equal to 8.04×10-1Ns/m2
(10 marks)
3 (a) State and prove the pascal's law.(10 marks) 3 (b) A hollow cylinder of outer diameter 1m, inner diameter 0-75m, weights 2h kN. Where 'h' is the height of cylinder. It is required to float in water with its longitudinal axis vertical. Calculate the height of cylinder.(6 marks) 3 (c) Explain the following
i) Lagrangian method and Exlerian method.
ii) Stable, unstable and netural equllibrium.
(4 marks)
4 (a) Describe condition of stability of floating body in detail.(10 marks) 4 (b) An orifice meter with orifice diameter 10cm is inserted in a pipe of 20cm diameter. The pressure gauges fitted up stream and downstream of the orifice meter gives reading of 19.62N/cm2 and 9.81N/cm2 respectively Co-efficent of discharge for the orifice meter is given as 0.6. Find the discharge of water through pipe.(10 marks)

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