1.a. Distinguish between Bluff body and Streamlined body.

1.b. A standard cricket ball of diaméter 7.13 cm is bowled at speed of 101 $\mathrm{km} / \mathrm{hr}$ by fast bowler. Determine the drag force on the ball by taking the following values for C, and fluid properties.

For a sphere: $\mathrm{C}_{\mathrm{D}}=0.5$ for $10^{4}\lt\mathrm{Re} \leq 3 \times 10^{5}$ and $\mathrm{C}_{\mathrm{D}}=0.2 \mathrm{Re}\gt3 \times 10^{5}$ Density of air 1.21 $\mathrm{Kg} / \mathrm{m}^{3}$ and dynamic viscosity of air = 1.18 x $1.18 \times 10^{-5} \mathrm{N.s} / \mathrm{m}^{2}$

2.a. Explain in brief unsteady flow with suitable practical examples of it.

2.b. In a pipe of 600 mm diameter and 3000 m length provided with a valve at its end, water is flowing with a velocity of 2.I $\mathrm{m} / \mathrm{s}$ Assuming velocity of pressure wave C- 1500 $\mathrm{m} / \mathrm{s}$. Find:

i) The rise in pressure if the valve is closed in 20 seconds,and

ii)The rise in pressure if the valve is closed in 2.5 seconds.

Assume the pipe to be rigid one and take bulk modulus of water K = 2 $\mathrm{GN} / \mathrm{m}^{2}$

3. Explain in brief unsteady flow with suitable practical examples of it.

4. Explain in brief with neat sketches the following terms:

a)Depth Discharge Diagram.

b) Specific Energy Curve.

5. Derive the conditions for the most economical trapezodial channel section.

6. A horizontal rectangular channel 4 wide carries a discharge of 15.50 $\mathrm{m}^{3}$$/ \mathrm{s}$. a) Determine whether a jump may occur at an initial depth of 0. Sm or not. b) If a jump occurs, determine the sequent depth to this initial depth. c) Also determine the energy loss in the jump. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt7.a.\lt/b\gt A jet of water having velocity of 45 $\mathrm{m} / \mathrm{s}$ impinges without shock on series of vanes moving at 15 $\mathrm{m} / \mathrm{s}$, the direction of motion of vanes being inclined at 20° to that of jet.The relative velocity of the water at exit is to be normal to the motion of the vanes. Find: i)Vane angles at entrance and exit ii) Work done on Vanes per unit weight of water supplied by the jet and iii) The hydraulic efficiency. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt7.b.\lt/b\gt A centrifugal pump having outer diameter equal to two times the inner diameter and running at 1000 r.p.m. works against a total head of 40 m. The velocity of flow through the impeller is constant and equal to 2.5 $\mathrm{m} / \mathrm{s}$. The vanes are set back at angle 40 degree outlet. If the outer diameter of the impeller is 500 mm and width at outlet is 50 mm, Determine: i) Vane angle at inlet ii) Work done by the impeller on water per second, and iii) Manometric efficiency . \lt/div\gt \ltspan class='paper-ques-marks'\gt(9 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.a.\lt/b\gt Explain the principle and working of a centrifugal pump with neat sketch. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.b.\lt/b\gt What do you mean by manometric efficiency, mechanical efficiency and overall efficiency of centrifugal pump? \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.c.\lt/b\gt Derive expression for the work done by the jet" in case of flat plate inclined and moving in the direction of jet. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt9.a.\lt/b\gt Obtain an expression with reference to hydraulic turbine for unit speed,unit power and unit discharge. \lt/div\gt \ltspan class='paper-ques-marks'\gt(8 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt9.b.\lt/b\gt A Pelton wheel has mean bucket speed of 10 meters per second with jet of water flowing at the rate of 700 litres/s under a head of 30 meters. The bucket deflect the jet through an angle of 160 degree. Calculate the power given by the water to the runner and the hydraulic efficiency of the turbine. Assume coefficient of velocity as 0.98. \lt/div\gt \ltspan class='paper-ques-marks'\gt(8 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt10.a.\lt/b\gt What is Cavitation? How it can be avoided in case of a hydraulic turbine? \lt/div\gt \ltspan class='paper-ques-marks'\gt(4 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt10.b.\lt/b\gt What is draft tube? What are the functions of draft tube? \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt10.c.\lt/b\gt A turbine is to operate under head of 26 m at 210 r.p.m. The discharge is 9.5 $\mathrm{m}^{3} \mathrm{1} / \mathrm{s}$. If the efficiency is 90%, determine i) Specific speed of the machine ii) Power generated and iii)Type of turbine. \lt/div\gt \ltspan class='paper-ques-marks'\gt(8 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt11.a.\lt/b\gt Derive the following form of GVF equation with usual notations. Also state the assumptions made for it. $\frac{d y}{d x}=\frac{\mathrm{S}_{o}-\mathrm{S}_{f}}{1-\mathrm{F}_{r}^{2}}$ \lt/div\gt \ltspan class='paper-ques-marks'\gt(8 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt11.b.\lt/b\gt Describe with neat sketches"Classification of Channel Bed Slopes" \lt/div\gt \ltspan class='paper-ques-marks'\gt(8 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt12.a.\lt/b\gt What do you mean by Non-uniform flow? Explain its types with neat sketch along with suitable example. \lt/div\gt \ltspan class='paper-ques-marks'\gt(4 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt12.b.\lt/b\gt A rectangular channel carries a discharges of 3 $\mathrm{m}^{3} / \mathrm{s} / \mathrm{m}$ . It is laid at a slope of 0.0001. If at section in this channel the depth is 1.6 m, how far (upstream or downstream) from the section will the depth be 1.9 m? Take Manning's n as 0.015 and width of rectangular channel as 10 m.Use the step method (Consider the depth of flow 'y' with interval of 0.1m).