Code: 20A3301
III B. Tech I Semester (R20) Regular Examinations November 2022
FLUID MECHANICS AND HYDRAULIC MACHINERY
(Mechanical Engineering)
Time: 3 hours
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Max. Marks: 70
Answer all questions. All questions carry equal marks
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a) Define the following terms: i) Compressibility ii) Surface Tension iii) Capillarity iv) Viscosity
(7M)b) The velocity distribution over a plate is given by u = 2y – y2 where u is the velocity in m/s at a distance y meters above the plate. Determine the shear stress at y = 0 and y = 1.5 m. Dynamic viscosity of the fluid is 8.35 poise.
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(7M)OR
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a) Explain different types of fluid flow with examples.
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b) Derive the three-dimensional continuity equation in Cartesian coordinates.
(7M) -
a) What is Euler’s equation? How will you obtain Bernoulli’s equation from it?
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b) A pipe has a diameter of 0.4 m and carries water at a velocity of 25 m/s. The pressures at the points A and B along the pipe are given as 29.43 N/cm2 and 22.563 N/cm2 respectively, while the datum head at A and B are 28 m and 30 m. Find the loss of head between A and B.
(7M)OR
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a) What is a Venturimeter? Derive an expression for the discharge through a venturimeter.
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(7M)b) Water is flowing through a pipe of 5 cm diameter under a pressure of 29.43 N/cm2 and with mean velocity of 2.0 m/s. Find the total head or total energy per unit weight of the water at a cross-section, which is 5 m above the datum line.
(7M) -
a) Explain the terms: Hydraulic gradient line and Total energy line.
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(7M)b) Three pipes of lengths 800 m, 500 m and 400 m and of diameters 50 cm, 40 cm and 30 cm respectively are connected in series. These pipes are to be replaced by a single pipe of length 1700 m. Find the diameter of the single pipe.
(7M)OR
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a) Define and explain the terms: i) Geometric similarity ii) Kinematic similarity iii) Dynamic similarity.
(7M)b) Explain different types of forces acting in a moving fluid.
(7M) -
a) Derive the specific speed of a turbine.
(7M)b) A Pelton wheel is to be designed for the following specifications: Shaft Power = 11,772 kW; Head = 380 m; Speed = 750 r.p.m.; Overall efficiency = 86%; Jet ratio = 6. Obtain: i) The wheel diameter ii) The number of jets required iii) Diameter of the jet. Assume coefficient of velocity = 0.985 and speed ratio = 0.45.
(7M)OR
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a) Explain the different types of turbines with neat sketches.
(7M)b) A Kaplan turbine runner is to be designed to develop 9100 kW. The net available head is 5.6 m. Assume that the speed ratio is 2.09 and flow ratio is 0.68 and the overall efficiency is 86%. If the diameter of the boss is 1/3 of the diameter of the runner, find the diameter of the runner, diameter of the boss and speed of the turbine.
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a) What is specific speed of a pump? Derive an expression for the specific speed of a pump.
(7M)b) A centrifugal pump is required to lift 0.04 m3/s of water from a well with a depth of 30 m. If the pump is located at the top of the well. Determine the power of the pump. Assume the losses in suction pipe amount to 2 m. and the pump efficiency is 70%.
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OR
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a) Explain the working principle of a centrifugal pump with a neat sketch.
(7M)b) What is Priming? Why is it necessary?
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(7M)
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