GTU BE/B.Tech 2019 Winter Question Papers || Gujarat Technological University
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Subject Code: 130101
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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-III (Old) EXAMINATION - WINTER 2019
Subject Name: Fluid Mechanics
Time: 02:30 PM TO 05:00 PM
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
| Q.1 (a) | Define Following Terms | 07 |
| (1) Mass density (2) Specific volume (3) Specific gravity | ||
| (4) Capillarity (5) Dynamic viscosity (6) Compressibility (7) Surface tension | ||
| (b) | A 50 mm diameter shaft rotates with 500 rpm in a 80mm long journal bearing with 51mm internal diameter. The annular space between the shaft and bearing is filled with lubricating oil of dynamic viscosity 1 poise. Determine the torque required and power absorbed to overcome friction. | 07 |
| Q.2 (a) | Explain different types of manometers and explain the working of differential U-tube manometer. | 07 |
| (b) | State and Prove Pascal’s law | 07 |
| OR | ||
| Explain the condition of stability for a submerged and floating body with neat diagram. | ||
| Q.3 (a) | Derive an expression for continuity for 3-D flow and reduce it for steady incompressible 2-D flow in Cartesian coordinate system. | 07 |
| (b) | Define Buoyancy and centre of buoyancy. Calculate the volume of water displaced and position of centre of buoyancy for a wooden block (density 680 kg/m3) of width 3m and depth 2m, when it flows horizontally in water. The length of wooden block is 5m. | 07 |
| OR | ||
| Define total hydrostatic force and centre of pressure. Derive an expression for both when the surface is vertically immersed. | ||
| Q.4 (a) | Explain the construction and working of a Venturimeter and also derive an expression for the discharge through it. | 07 |
| (b) | Define notch and weir. Derive an expression for discharge over triangular notch. | 07 |
| The head of water over an orifice of diameter 7.5 cm is 7.5 m. The jet of water coming out from the orifice is collected in a tank having cross-sectional area of 1 m x 1 m. The rise of water level in this tank is 0.87 m in 25 seconds. The coordinates of a point on the jet measured from venacontracta are 3.75 m horizontal and 0.5 m vertical. Find the co-efficient of discharge, co-efficient of velocity and coefficient of contraction. | ||
| OR | ||
| Derive Darcy Weisbach equation with usual notation. | ||
| Q.5 (a) | Define circulation and velocity potential function. Explain flow net and state the importance of flow net. | 07 |
| (b) | Derive an expression for velocity distribution for viscous flow through circular pipe. Also sketch the velocity distribution and shear stress distribution across a section of the pipe. | 07 |
| OR | ||
| State the different methods for measurement of viscosity. Explain any one of them. | ||
| Q.5 (a) | State Buckingham’s p theorem. What do you mean by repeating variables? How are the repeating variables selected in dimensional analysis? | 07 |
| (b) | State Bernoulli’s theorem for compressible fluid flow and derive an expression for the same when the process is adiabatic. | 07 |
Date: 26/11/2019
Total Marks: 70
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