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C1119 Pages 3

venturimeter fitted to a 300 mm diameter pipe. The venturimeter is inclined at
60° to the vertical and its 150 mm diameter throat is 1.2 m from the entrance
along its length. Pressure gauges inserted at the entrance and throat show
pressures of 0.141 N/mm? and 0.077 N/mm? respectively. Calculate discharge
coefficient of the venturimeter. If instead of pressure gauges, the entrance and
throat of the venturimeter are connected to the two limbs of a U-tube mercury
manometer, determine its reading in mm of differential mercury column
Explain how a pitot tube can be used to find out velocity at any point in a
pipeline.
Explain the methods of experimental determination of orifice coefficients
The flow in a 2 m wide rectangular channel is measured by a rectangular weir
with crest length | m and height 0.6 m. Find the discharge in the channel when
the head over the weir is 0.3 m. Take Ca as 0.62. Consider end contractions and
velocity of approach.
Derive Euler’s equation of motion and then obtain Bernoulli’s equation by
integrating it along a streamline. What are the assumptions made in deriving the
equation?
What is an orifice? How are the orifices classified?
What is a Cipolletti weir?
PART C

Answer any two full questions, each carries20 marks.
Derive Dupuit’s equation for pipes in series.
Oil of viscosity 0.97 poise and relative density 0.9 is flowing in a horizontal
circular pipe of diameter 100 mm and of length 10 m. If 100 kg of oil is collected
at the outlet of the pipe in 30 s, calculate the difference in pressure at the two
ends of the pipe. Also, verify that the flow is laminar.
Name the minor and major losses during the flow of liquid through a pipeline.

The velocity distribution in the boundary layer is given by: ला = 3 , where v is the

velocity at a distance y from the plate and v = V at y= 6, 6 being the boundary
layer thickness. Find (i) the displacement thickness, (ii) the momentum thickness
and (111) the energy thickness.

Derive the Darcy-Weisbach equation for head loss in pipes due to friction.

A city water supply main is 1000 m long and delivers a flow of 100 1/6 between

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