SPPU Mechanical Engineering (Semester 3)
Fluid Mechanics
May 2014
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Answer any one question from Q1 and Q2
1 (a) What is viscosity? State and explain Newtons Law of viscosity.
6 M
1 (b) Discuss various type of flows with examples.
6 M

2 (a) A circular plate of diameter 1.2 m placed vertically in water in such a way that the centre of the plate is 2.5 m below the free surface of water. i) determine total pressure on the plate ii) position of centre of pressure.
6 M
2 (b) Explain i) surface tension ii) Vapour pressure iii) compressibility
6 M

Answer any one question from Q3 and Q4
3 (a) Derive an expression for velocity profile for laminar flow through pipe.
6 M
3 (b) A liquid of viscosity of 24.5 poise is flowing between two horizontal plates 100 mm apart with a maximum velocity of 1.5 m/s. Calculate
i) The discharge per meter width
ii) shear stress at the plates
iii) The difference in pressure between two plates.
6 M

4 (a) A 200 mm x 100 mm venturimeter is provided in a vertical pipe carrying water flowing in a upward direction. A differential mercury manometer connected to the inlet and throat gives a reading of 220 mm. Find the rate of flow.
6 M
4 (b) Derive an expression for continuity equation for 3-D flow.
6 M

Answer any one question from Q5 and Q6
5 (a) Derive an expression for Darcy-Weisbach equation.
6 M
5 (b) Using Buckingham's ?- theorem, show that the velocity through a circular orifice is given by $V = \sqrt{2gH}\phi \left [\dfrac {D}{H}, \dfrac {\mu}{\rho VH} \right ]$ All terms carry usual meaning.
7 M

6 (a) Explain i) Mach Number ii) Froude Number iii) Euler Number
6 M
6 (b) A 2500m long pipeline is used for transmission of power. 120kW power is to be transmitted through the pipe in which water having a pressure of 4000kN/m2 at inlet is flowing. If the pressure drop over the length of pipe is 800 kN/m2 and f=0.006. Find
i) Diameter of the pipe
ii) Efficiency of transmission.
7 M

Answer any one question from Q7 and Q8
7 (a) If velocity distribution in laminar boundary layer over a flat plate is assumed to be given by equation u = a + by +cy2, determine its form using the necessary boundary conditions.
6 M
7 (b) Assuming the cross-selection area of a car to be 2.7 m2 with a drag coefficient of 0.6 estimate the energy requirement at a speed of 60 km/h. Assuming the weight of a car to be 30 kN and coefficient of friction 0.012. Assume density to be 1.208 kg/m3.
7 M

8 (a) Draw profile of symmetrical and unsymmetrical aerofoil and define following terms of an aerofoil i) Chord line ii) Angle of attack iii) stall iv) Camber
6 M
8 (b) Write a short note on 'Seperation of Boundary Layer its Control'.
7 M

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