SPPU Civil Engineering (Semester 5)
Fluid Mechanics II
May 2015
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) Define:
i) Drag force
ii) Lift force
2 M
1 (b) Experiments were conducted in a wind tunnel with a wind speed of 51 km/hr on a flat plate of size 2.1m long and 1.1m wide. The density of air is 1.15 kg/m3. The coefficients of lift and drag are 0.76 and 0.16 respectively. Determine:
i) The lift force
ii) The drag force
iii) The resultant force
iv) Direction of resultant force
v) Power exerted by air on the plate.
6 M

Explain in brief:
2 (a) (i) Water Hammer.
2 M
2 (a) (ii) Unsteady flow.
2 M
2 (b) A valve is provided at the end of a cast iron pipe of diameter 160mm and of thickness 12mm. The water is flowing through the pipe, which is suddenly stopped by closing the valve. Find the maximum velocity of water, when the rise of pressure due to sudden closure of valve is 198.2 N/cm2. Take K for water as 19.62×104 N/cm2 and E for cast iron pipe as 11.772×106 N/cm2.
4 M

Explain in brief:
3 (a) (i) Channel transitions.
3 M
Answer any one question from Q3 and Q4
3 (b) (ii) Froude number and classification of channel flow based on it.
3 M

4 Derive the expression \[ Q= \dfrac {8}{15} \cdot Cd \sqrt{2g} \cdot \tan \left ( \dfrac {\theta} {2} \right ) \cdot H^{5/2} \] for flow over right angled triangular notch.
6 M

Answer any one question from Q5 and Q6
5 The depth of flow of water, at a certain section of a rectangular channel of 2.1m wide is 0.35m. The discharge through the channel is 1.6 m3/s. Determine, whether a hydraulic jump will occur, and if so, find its height and loss of energy per kg of water.
6 M

6 Prove that with usual notations for most economical trapezoidal channel section half of top width equal to one of sloping sides of the channel.
6 M

Answer any one question from Q7 and Q8
7 (a) Explain the working of centrifugal pump with neat sketch.
6 M
7 (b) Derive the expression for the 'work done by the jet' in case of flat plate inclined and moving in the direction of jet.
6 M
7 (c) Derive the expression for 'minimum speed for starting a centrifugal pump'
6 M

8 (a) A centrifugal pump delivers water against a net head of 14.5m and design speed of 1000 rpm, the vanes are curved back to an angle of 30° with the periphery. The impeller diameter is 30 cm and width at outlet is 5 cm. Determine the discharge of pump if manometric efficiency is 95%.
6 M
8 (b) A jet of water of diameter 7.5cm strikes a curved plate at it's centre with a velocity of 20m/s. The curved plate is moving with a velocity of 8m/s in the direction of jet. The jet is deflected through an angle of 165°. Assume the plate is smooth. Find
i) Force exerted on the plate in the direction of jet.
ii) Power of the jet.
iii) Efficiency of the jet.
6 M
Explain in brief:
8 (c) (i) Reciprocating pump.
3 M
8 (c) (ii) Submersible pump.
3 M

Answer any one question from Q9 and Q10
9 (a) Explain:
i) Hydraulic efficiency (ηh)
ii) Mechanical efficiency(ηm)
iii) Volumetric efficiency(ηv)
iv) Overall efficiency(ηo)
8 M
9 (b) A Turbine is to operate under a head of 25 m and at 200 r.p.m. The discharge is 9 cumec and if the overall efficiency is 90% determine:
i) Power generated (kW)
ii) Specific speed of machine.
iii) Type of turbine
8 M

10 (a) A francies turbine with an overall efficiency of 75% is required to produce 148.25 kW power. It is working under head of 7.62m. The peripheral \[ velocity= 0.26 \sqrt{2gH} \] and the radial velocity of flow at inlet is \[ 0.96 \sqrt{2gH} \] The wheel runs at 150 r.p.m. and the hydraulic losses in the turbine are 22% of the available energy. Assuming radial discharge, determine:
i) The guide blade angle
ii) The wheel vane angle at inlet
iii) Diameter of wheel at inlet.
iv) Width of wheel at inlet
8 M
Explain in brief:
10 (b) (i) Cavitation in turbine
4 M
10 (b) (ii) Governing of turbine
4 M

Answer any one question from Q11 and Q12
11 (a) Derive the dynamic equation of G.V.F. with usual notations.
8 M
11 (b) Explain Ven Tee Chow method for computation of G.V.F.
8 M

12 (a) Explain in detail the various types of water surface profiles.
6 M
12 (b) A rectangular channel 10m wide carries a discharge of 30 m3/s. It is laid at slope of 0.0001. If at a section in this channel the depth is 1.6m, how far (U/s or D/s) from the section will the depth be 2.0m? Take Manning's n=0.015. Use step method of integration.
10 M



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