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Posted By: Sra1 Member Level: Diamond Posted Date: 27 May 2008
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2007 Jawaharlal Nehru Technological University B.Tech Metallurgy & Material Technology MECHANICS OF FLUIDS (Supplimentary Examinations, Aug/Sep 2007) Question paper
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Set No 1
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Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
1. (a) A vertical cylinder of diameter 180mm rotates concentrically inside another cylinder of diameter 181.2mm. Both the cylinders are 300mm high. The space between the cylinders is filled with a liquid whose viscosity is unknown. Determine the viscosity of the fluid if a torque of 20Nm is required to rotate
the inner cylinder at 120r.p.m
(b) What are differential manometer? [10+6]
2. (a) If f=3xy, find x and y components of velocity at (1,3) and (3,3). Determine the discharge passing between streamlines passing through these points.
(b) Define one-dimensional, two-dimensional and three-dimensional flows? [10+6]
3. (a) What are the different energies of a fluid? Explain each of them.
(b) Water is flowing through a pipe having diameter 300mm and 200mm at the bottom and upper end respectively. The intensity of pressure at the bottom end is 24.525 N/c m2 and pressure at the upper end is 9.81 N/c m2. Determine the difference in datum head, if the rate of flow through pipe is 40 Lit /s. [6+10]
4. (a) Derive an expression for discharge as liquids through a rectangular notch.
(b) A 120mm × 60mm venturimeter with Cd = 0.98 is to be replaced by an orifice meter having a value of Cd = 0.6, is both the meters are to give the same differential mercury monometer reading for a discharge of 100 lit/sec and the inlet diameter to remain 125 mm. what should be the diameter of orifice.[7+9]
5. (a) For a fluid flowing over a flat plate, draw
i. Velocity distribution in the laminar and turbulent boundary layers
ii. Shear stress distribution for the boundary layer developing on either side of the plate.
(b) A plate 4 m x 1.5 m is held in water moving at 1 m/sec parallel to its length. If the flow in the boundary layer is laminar at the leading edge of the plate, find [6+10]
i. the distance from leading edge where the boundary layer flow changes from laminar to turbulent flow
ii. the thickness of boundary layer at this section, and
iii. the frictional drag on both sides of the plate.
6. (a) What do you mean by ‘pipes in series’ and ‘pipes in parallel’? How the loss of head is to be determined?
(b) A pipeline 0.25 m in diameter and 1600 m long has a slope of 1 in 200 for the first 800 m and 1 in 100 for the next 800m. The pressure at upper end of the pipeline is 120 kN/m2 and at the lower end is 60 kN/m2. Taking 4f = 0.04, determine discharge through the pipe. [8+8]
7. Two reservoirs are connected by a pipeline of diameter 600 mm and length 4000M. The difference of water level in the reservoirs is 20 M. At a distance of 1000M from the upper reservoir, a small pipe is connected to the pipeline. The water can be taken from the small pipe. Find the discharge to the lower reservoir, if
(a) No water is taken from the small pipe, and
(b) 100 lit/s of water is taken from small pipe. Take f=0.005 and neglect minor losses. [16]
8. (a) Explain briefly about stagnation point?
(b) Avessel fitted with a nozzle, contains air at pressure of 2500KN/m2 and a temperature of 200C.If the pressure at the outlet of the nozzle is 1750 KN/m2 find the velocity of air flowing at the outlet of the nozzle. Take K=1.4 and R=287 J/Kg K. [8+8]
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