Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 2130101 Fundamentals Of Fluid Mechanics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130101 Date: 30/11/2019
Subject Name: Fundamentals of Fluid Mechanics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define viscosity and Derive unit of viscosity. 03
(b) Differentiate following terms.
(i) Ideal Fluid and Real Fluid (ii) Model and Prototype
04
(c) State Hydrostatic Law and prove Pascal?s law. 07
Q.2 (a) Derive an expression for capillary fall between two vertical parallel plates. 03
(b) Explain Weber?s number and model law. 04
(c) The pressure difference ?p in a pipe of diameter D and length l due to turbulent
flow depends on the velocity v, viscosity ?, density ? and roughness k. Using
Buckingham?s ?-theorem, obtain an expression for ?p.
07
OR
(c) The Resisting force R of a supersonic plane during flight can be considered ass
dependent upon the length of the aircraft l, velocity v, air viscosity ?, air density ?
& bulk modulus of air k. Express the functional relationship between these
variables & resisting force.
07
Q.3 (a) Define following terms:
(i) Buoyancy (ii) Metacentric Height (iii) Turbulent Flow
03
(b) Differentiate following terms.
(i) Manometer and Piezometer (ii) Uniform and Non Uniform Flow
04
(c) A circular plate 1.5 m diameter is immersed in water in such a way that it?s
greatest and least depth below the free surface is 2 m & 0.75 m respectively.
Determine the total pressure on one face of the plate & position of the centre of
pressure.
07
OR
Q.3 (a) Define following terms:
(i) Absolute Pressure (ii) Discharge (iii) Laminar Flow
03
(b) Compare Venturimeter and Orificemeter. 04
(c) Derive Continuity equation for 2 and 3 Dimensional Flow with neat Sketch. 07
Q.4 (a) Explain Hydrostatic paradox. 03
(b) Explain different types of fluid flow with examples. 04
(c) Derive expression of Total pressure and Centre of pressure for Horizontal plane
surface submerged in liquid.
07
OR
Q.4 (a) Differentiate between distorted and undistorted model. 03
(b) Explain Mach number. 04
(c) Derive an expression for Bernoulli?s theorem with the help of Euler?s equation.
Clearly state assumptions made.
07
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 2130101 Date: 30/11/2019
Subject Name: Fundamentals of Fluid Mechanics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define viscosity and Derive unit of viscosity. 03
(b) Differentiate following terms.
(i) Ideal Fluid and Real Fluid (ii) Model and Prototype
04
(c) State Hydrostatic Law and prove Pascal?s law. 07
Q.2 (a) Derive an expression for capillary fall between two vertical parallel plates. 03
(b) Explain Weber?s number and model law. 04
(c) The pressure difference ?p in a pipe of diameter D and length l due to turbulent
flow depends on the velocity v, viscosity ?, density ? and roughness k. Using
Buckingham?s ?-theorem, obtain an expression for ?p.
07
OR
(c) The Resisting force R of a supersonic plane during flight can be considered ass
dependent upon the length of the aircraft l, velocity v, air viscosity ?, air density ?
& bulk modulus of air k. Express the functional relationship between these
variables & resisting force.
07
Q.3 (a) Define following terms:
(i) Buoyancy (ii) Metacentric Height (iii) Turbulent Flow
03
(b) Differentiate following terms.
(i) Manometer and Piezometer (ii) Uniform and Non Uniform Flow
04
(c) A circular plate 1.5 m diameter is immersed in water in such a way that it?s
greatest and least depth below the free surface is 2 m & 0.75 m respectively.
Determine the total pressure on one face of the plate & position of the centre of
pressure.
07
OR
Q.3 (a) Define following terms:
(i) Absolute Pressure (ii) Discharge (iii) Laminar Flow
03
(b) Compare Venturimeter and Orificemeter. 04
(c) Derive Continuity equation for 2 and 3 Dimensional Flow with neat Sketch. 07
Q.4 (a) Explain Hydrostatic paradox. 03
(b) Explain different types of fluid flow with examples. 04
(c) Derive expression of Total pressure and Centre of pressure for Horizontal plane
surface submerged in liquid.
07
OR
Q.4 (a) Differentiate between distorted and undistorted model. 03
(b) Explain Mach number. 04
(c) Derive an expression for Bernoulli?s theorem with the help of Euler?s equation.
Clearly state assumptions made.
07
2
Q.5 (a) Define: Velocity gradient and Convective acceleration. 03
(b) The diameter of a pipe at the section 1-1 and 2-2 are 200 mm and 300 mm
respectively. If the velocity of water flowing through the pipe at section 1-1 is 4
m/s, find
(i) Discharge through the pipe, and
(ii) Velocity of water at section 2-2
04
(c) Write note on Venturimeter with neat sketch and derive equation for theoretical
discharge.
07
OR
Q.5 (a) Differentiate between Notch and Weirs. 03
(b) Write short note on Frames of Reference. 04
(c) Derive equation for discharge over Triangular notch. 07
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This post was last modified on 20 February 2020