Answer any 4 of the following

1 (a)
Explain surface profiles in open channel.

5 M

1 (b)
Explain Boundary Layer separation and control measures.

5 M

1 (c)
Compare Kennedy's and Lacey's theory.

5 M

1 (d)
Explain specific energy curve.

5 M

1 (e)
Write a note on standing wave Flume.

5 M

2 (a)
A trapezoidal channel with a side slope of 1:1 has to be designed to convey 10m

^{3}/sec at a velocity of 2 m/sec, so that the amount of concrete lining for the bed and sides is minimum. Calculates the area of lining required for one meter length of channel. The rugosity coefficient N=0.015, calculate the bed slope the channel for uniform flow.
10 M

2 (b)
Water flows at the rate of 1m

^{3}/sec along a channel of rectangular section 1.6 m in width. Calculate the critical depth. If a standing wave occurs at a point where the upstream depth is 0.2m, what would be rise in water level produced and the power lost in standing waves.
10 M

3 (a)
A 1.6m wide, 5m long plate moves through stationary air of density 1.22 × 10

^{-3}gm/cc and viscosity 1.8 × 10^{-4}poise at a velocity of 1.75 m/sec parallel to its length. Determine the draw force on one side of the plate. (a) Assuming laminar flow conditions, (b) Assuming turbulent flow condition.
12 M

3 (b)
A kite of dimensions 0.8 × 0.8 m and weighing 6 N is maintain in air at an angel of 10° to the horizontal. The string attached to the kite makes an angel of 45° to the horizontal and at this position, the drag and lift coefficients are estimated to be 0.6 and 0.8 respectively. Determine wind speed and tension in the string.

8 M

4 (a)
Water flows in a rectangular channel of 4 m width at a depth of 2.50 m and a velocity of 2.25 m/sec. If the width of channel is reduced to 2.250 m and the bed of channel is raised by 0.20 m at section, how will the level of water surface in the channel be affected?

10 M

4 (b)
Design an irrigation channel in alluvial soil according to Lacey's silt theory. Given the following data, slope of channel =1:5000, Lacey's slit factor=0.9.

10 M

5 (a)
Derive boundary layer thickness, local coefficient of drag and coefficient of drag for the given velocity profile

\[\dfrac{u}{U}=\dfrac{3}{2}\dfrac{\gamma }{\delta }-\dfrac{1}{2}\left ( \dfrac{\gamma }{\delta } \right )^{3}\]

\[\dfrac{u}{U}=\dfrac{3}{2}\dfrac{\gamma }{\delta }-\dfrac{1}{2}\left ( \dfrac{\gamma }{\delta } \right )^{3}\]

15 M

5 (b)
Explain discharge curve in open channel.

5 M

6 (a)
A circular of 1 m diameter and 10 m length is rotated at 420 rpm about its axis when its is kept in air stream with 11.0 m see velocity perpendicular to it axis. Determine (i) Circulation around the cylinder. (ii) Theoretical lift and lift coefficient , (iii) Position of stagnation point, (iv) Actual drag and lift force on the cylinder and (v) Actual resultant force and its direction.

10 M

6 (b)
Derive dynamic equation for gradually varied flow in case of wide rectangular channel. Also state assumptions made for the same.

10 M

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