GUJARAT TECHNOLOGICAL UNIVERSITY
SEMESTER-IV(NEW) — EXAMINATION - SUMMER 2019
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Subject Code:2141307 Date:15/05/2019
Subject Name: Basics of Environmental Hydraulics
Time:02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| MARKS | 
|---|
| Q.1 (a) Define: (i) specific gravity (ii) viscosity (iii) mass density 03 | 
| (b) Differentiate between: (i) ideal fluid and real fluid 04 (ii) cohesion and adhesion | 
| (c) Explain phenomena of capillarity. Obtain an expression of capillary 07 rise of a liquid. | 
| Q.2 (a) Define the term Total pressure and centre of pressure. 03 | 
| (b) A cylinder container has a diameter of 0.5 m and a height of 1 m. If it 04 is to be filled with a liquid having a specific weight of 2000 N/m?, how many kg of this liquid must be added? | 
| (c) Derive an Expression for the depth of centre of pressure when lamina 07 is immersed in a liquid at an angle with horizontal. | 
| OR | 
| (c) Discuss and derive an expression of discharge through partially 07 submerged orifice. | 
| Q.3 (a) Differentiate between simple manometer and differential manometer. 03 | 
| (b) Explain with sketch the relationship between various types of pressure. 04 | 
| (c) Two tanks A and B have 70 m difference in water levels, and are 07 connected by a pipe 0.25 m diameter and 6 km long with 0.002 friction coefficient. The pipe is tapped at its mid point to leak out 0.04 m3/s flow rate. Minor losses are ignored. Determine the discharge leaving tank A? Find the discharge entering tank B? | 
| OR | 
| Q.3 (a) State limitations in use of piezometer and simple u-tube manometer. 03 | 
| (b) Derive Euler’s-equation of motion along streamline. Also state 04 assumption made. | 
| (c) Two reservoirs have 6 m difference in water levels, and are connected 07 by a pipe 60 cm diameter and 3000 m long. Then, the pipe branches into two pipes each 30 cm diameter and 1500 m long. The friction coefficient is 0.01. Neglecting minor losses, determine the flow rates in the pipe system? | 
| Q.4 (a) Define: (i) Orifice, (ii) Notch and (iii) Weir 03 | 
| (b) Derive the equation for coefficient of discharge. 04 | 
| (c) Water is discharging through an external cylindrical mouthpiece of 07 diameter 120 mm under a constant head of 5 m. Calculate discharge and absolute pressure head of water at vena-contracta. Take atmospheric pressure head = 10.3 m of water, Cd = 0.855, Cc for vena contracta = 0.62 | 
| OR | 
| (a) Define: (1) Hydraulic gradient line, (2) Energy gradient line, (3) Equivalent pipe 03 | 
| Q.5 (b) Differentiate between triangular notch and rectangular notch. 04 | 
| (c) Derive an expression for time of emptying a circular horizontal tank 07 with an orifice at its bottom. | 
| (a) What is mouthpiece? Enlist the classification of mouthpiece. 03 | 
| (b) Derive an expression for time of emptying a tank with rectangular 04 weir. | 
| (c) Determine the time required to lower the water level from 3 m to 2 m 07 in a reservoir of dimension 60m x 60m, by (i) a rectangular notch of length 1m, (ii) a right angled V-notch. Take Cd = 0.62. | 
| OR | 
| Q.5 (a) Define open channel flow. Explain its types in detail. 03 | 
| (b) Compare the Open Channel Flow & Pipe Flow 04 | 
| (c) What do you mean by “Most economical section” of an open channel? 07 How it is determine? What are the conditions for the rectangular channel for best conditions? | 
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