Download AKTU B-Tech 7th Sem 2015-2016 EIT 701 Cryptography Network Security Question Paper

Code: 20A03301

B.Tech II Year I Semester (R20) Regular Examinations November 2021

FLUID MECHANICS

(Civil Engineering)

Time: 3 Hours Max. Marks: 75

Answer all questions

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PART – A (10 x 2 = 20 Marks)

1. Define the following:
   (a) Surface tension
   (b) Compressibility
2. What is the gauge pressure and absolute pressure?

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3. Define stream function and velocity potential.
4. What are the different types of fluid flow?
5. State Bernoulli’s theorem.
6. What is momentum equation?
7. What is laminar and turbulent boundary layer?

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8. Define displacement thickness.
9. Define coefficient of drag and lift.
10. What is an equivalent pipe?

PART – B (5 x 11 = 55 Marks)

Answer all questions. Each question carries 11 marks

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1. (a) Determine the specific gravity of a fluid having viscosity 0.05 poise and kinematic viscosity 0.035 stokes. [5M]
   (b) The dynamic viscosity of an oil, used for lubrication between a shaft and sleeve is 6 poise. The shaft is of diameter 0.4 m and rotates at 190 r.p.m. Calculate the power lost in the bearing for a sleeve length of 90 mm. The thickness of the oil film is 1.5 mm. [6M]

   OR

   (a) Explain about types of fluid. [5M]
   (b) Calculate the capillary effect in millimeters in a glass tube of 4mm diameter, when immersed in (i) water and (ii) mercury. The temperature of the liquid is 20°C and the values of surface tension of water and mercury at 20°C in contact with air are 0.073575 N/m and 0.51 N/m respectively. The angle of contact for water is zero where as for mercury is 130°. Take density of water as 998 kg/m³. [6M]
2. (a) Derive the continuity equation for three dimensional flow. [5M]
   

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   (b) If for a two dimensional potential flow, the velocity potential is given by f = x(2y – 1), determine the velocity at the point P(4, 5). Determine also the value of stream function ? at the point P. [6M]

   OR

   (a) Differentiate between: [5M]
       i) Uniform flow and non-uniform flow
       ii) Laminar and turbulent flow
       iii) Steady and unsteady flow
   

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   (b) The velocity components in a two dimensional flow field are given by u = x² – y² and v = -2xy. Show that these components represents a possible case of an irrotational flow. [6M]
3. (a) What are the assumptions made for Bernoulli’s equation? And derive the Bernoulli’s equation from Euler’s equation. [5M]
   (b) Water is flowing through a pipe having diameters 20 cm and 10 cm at section 1 and 2 respectively. The rate of flow through the pipe is 35 lit/sec. The section 1 is 6 m above the datum line and section 2 is 4 m above the datum. If the pressure at section 1 is 39.24 N/cm², find the intensity of pressure at section 2. [6M]

   OR

   (a) Derive the Euler’s equation of motion. [5M]
   (b) A 30 cm × 15 cm venturimeter is inserted in a vertical pipe carrying water, flowing in the upward direction. A differential mercury manometer connected to the inlet and throat gives a reading of 20 cm. Find the discharge. Take Cd = 0.98. [6M]

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4. (a) Explain the development of boundary layer along the length of thin plate held parallel to the uniform flow. [5M]
   (b) For the velocity profile in laminar boundary layer is given as u/U = 3/2(y/d) - 1/2 (y/d)³ . Determine the thickness of the boundary layer and shear stress at y = d/2. [6M]

   OR

   (a) Derive Von-Karman momentum integral equation. [5M]
   (b) A thin plate is moving in still air at a velocity of 5 m/s. The length of the plate is 0.6 m and width is 0.5 m. Calculate (i) the drag force when the plate is kept parallel to the flow and (ii) drag force when the plate is kept perpendicular to the flow. Coefficient of drag is 1.97. Take density of air as 1.25 kg/m³ and viscosity as 0.000018 Ns/m². [6M]
5. (a) Derive the Darcy-Weisbach equation for head loss due to friction in a pipe. [5M]
   

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   (b) A 20 cm diameter pipe 2 km long conveys water at a rate of 0.05 m³/s. Friction coefficient, f = 0.02. Determine the head loss due to friction (i) using Darcy-Weisbach formula and (ii) using Chezy’s formula. [6M]

   OR

   (a) What is water hammer? And derive the expression for the rise in pressure in a thin elastic pipe due to sudden closure of valve. [5M]
   (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. [6M]

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