1 (a)
Obtain the Hagen-Poiseuille equation for viscous flow through a circular pipe.
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1 (b)
Explain boundary layer growth over a flat plate. Also explain causes of flow
separation from a solid boundary.
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2 (a)
Calculate (i) the discharge per meter width (ii) pressure difference between two
points 5 m apart and (iii) velocity gradient and (iv) velocity at 2 mm from plate
for oil of viscosity 18 poise flowing between two parallel plates kept 10mm
apart, consider that the maximum velocity at the centre of plate = 1.8 m/s.
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2 (b)
Draw the specific energy curve for constant discharge in an open channel.
Explain the terms critical flow, sub critical and supercritical flow in terms of
Froude number.
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2 (c)
Calculate the displacement thickness, momentum thickness and energy thickness for the velocity distribution [dfrac{u}{V}=dfrac{y}{delta}] for a flat plate boundary.
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3 (a)
Explain the drag and lift force component on a submerged object. What do you
understand by Magnus effect?
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3 (b)
Water flows in a rectangular channel having Manning roughness coefficient n =
0.017. The channel slope is 1 in 7000. If the bottom width is 5 m and depth of
flow is 1.1 m, calculate the discharge in the channel. Also calculate the specific
energy and critical depth.
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3 (c)
What is a hydraulic jump? Discuss the various types of jump based on Froude
Number.
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3 (d)
Draw a neat sketch showing the elements of a hydroelectric plant. Discuss the
components of Pelton turbine in detail.
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4 (a)
A Pelton turbine develops 2500kW under a head of 200 m. Considering a speed
ratio of 0.43, coefficient of velocity = 0.97 and specific speed of 17, calculate
(i) the diameter of Pelton wheel and (ii) jet diameter. Take overall efficiency =
85%.
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4 (b)
What is the function of a draft tube? Also sketch the different type of draft
tubes.
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4 (c)
What is a backwater curve? Calculate the length of backwater curve considering that the depth increases from 3 m to 5 m in a river having width of 85m. The roughness coefficient may be taken as 0.035 and channel bottom slope of 1 in 3000.
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4 (d)
Discuss the terms specific speed, unit speed, unit discharge and unit power for a
Turbine.
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5 (a)
What are the general requirements of a ventilation system? Differentiate between natural and mechanical ventilation system.
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5 (b)
Explain the Buckingham's π- theorem in dimensional analysis.
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5 (c)
Explain the terms geometric similarity, kinematic similarity and dynamic
similarity for physical models.
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5 (d)
What do you understand by cavitation of a hydraulic machine? How can we
prevent cavitation of hydraulic machines?
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