Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 5th Sem New 2154002 Fluid Mechanics And Hydraulics Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2154002 Date:20/11/2018
Subject Name:Fluid Mechanics and Hydraulics
Time: 10:30 AM TO 01:00 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) What is a syphon? On what principle it works? (explain with neat sketch) 07
(b) Find an expression for loss of energy head for a hydraulic jump in open channel
flow.
07
Q.2 (a) State Newton?s Law of viscosity. Classify the types of fluid and their properties
based on the Newton?s Law of viscosity.
07
(b) What is specific energy curve for open channel flow? Draw specific energy
curve, and then derive expressions for critical depth and critical velocity.
07
OR
(b) Due to turbulent flow, pressure difference (??? ) in a pipe of diameter (D) and
length (l) depends on the velocity (V), viscosity (?? ), density (?) roughness (k).
Obtain an expression for ??? using Buckingham?s ?? Theoram.
07
Q.3 (a) Prove that the center of pressure of a completely sub-merged plane surface is
always below the center of gravity of the sub-merged surface or at most coincide
with the center of gravity when the plane surface is horizontal.
07
(b) The stream function for a two-dimensional flow is given by ? = 4xy, Calculate
the velocity at the point P (4, 9). Determine the velocity potential function.
07
OR
Q.3 (a) A U-tube manometer containing mercury is used to measure the pressure of water
flowing in a pipeline. The mercury level in the open tube is 60 mm higher than
that on the left tube. If the height of water in the left tube is 50 mm, determine
the pressure in the pipe in terms of head of water.
07
(b) Derive an expression for the difference of pressure between two points in a free
vortex flow. Does the difference of pressure satisfy Bernoulli?s equation? Can
Bernoulli?s equation be applied to a forced vortex flow?
07
Q.4 (a) How are the weirs and notches classified? Derive the expression for the discharge
through a trapezoidal notch or weir.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2154002 Date:20/11/2018
Subject Name:Fluid Mechanics and Hydraulics
Time: 10:30 AM TO 01:00 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) What is a syphon? On what principle it works? (explain with neat sketch) 07
(b) Find an expression for loss of energy head for a hydraulic jump in open channel
flow.
07
Q.2 (a) State Newton?s Law of viscosity. Classify the types of fluid and their properties
based on the Newton?s Law of viscosity.
07
(b) What is specific energy curve for open channel flow? Draw specific energy
curve, and then derive expressions for critical depth and critical velocity.
07
OR
(b) Due to turbulent flow, pressure difference (??? ) in a pipe of diameter (D) and
length (l) depends on the velocity (V), viscosity (?? ), density (?) roughness (k).
Obtain an expression for ??? using Buckingham?s ?? Theoram.
07
Q.3 (a) Prove that the center of pressure of a completely sub-merged plane surface is
always below the center of gravity of the sub-merged surface or at most coincide
with the center of gravity when the plane surface is horizontal.
07
(b) The stream function for a two-dimensional flow is given by ? = 4xy, Calculate
the velocity at the point P (4, 9). Determine the velocity potential function.
07
OR
Q.3 (a) A U-tube manometer containing mercury is used to measure the pressure of water
flowing in a pipeline. The mercury level in the open tube is 60 mm higher than
that on the left tube. If the height of water in the left tube is 50 mm, determine
the pressure in the pipe in terms of head of water.
07
(b) Derive an expression for the difference of pressure between two points in a free
vortex flow. Does the difference of pressure satisfy Bernoulli?s equation? Can
Bernoulli?s equation be applied to a forced vortex flow?
07
Q.4 (a) How are the weirs and notches classified? Derive the expression for the discharge
through a trapezoidal notch or weir.
07
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2
(b) Consider the flow of air around a bicyclist moving through still air with velocity
as is shown in Fig. Determine the difference in the pressure between points 1 and
2.
07
OR
Q.4 (a) Explain the principle of venturimeter with a neat sketch and derive the expression
for the rate of flow of fluid through venturimeter.
07
(b) Describe the construction, operation and use of pitot tube using neat sketch. 07
Q.5 (a) The following data is given for a Francis Turbine. Net head = 60 m; Speed = 700
rpm; shaft power = 294.3 kW; ?? 0 = 84%; ?? ? = 93%; flow ratio = 0.20; breadth
ratio n = 0.1; Outer diameter of the runner = 2 ? inner diameter of runner. The
thickness of vanes occupy 5 % of circumferential area of the runner, velocity of
flow is constant at inlet and outlet and discharge is radial at outlet. Determine (i)
Guide blade angle (ii) Runner vane angles at inlet and outlet (iii) Diameters of
runner at inlet and outlet, and (iv) Width of wheel at inlet.
07
(b) Derive equation for head loss due to friction (Darcy-Weisbach Equation) in flow
through pipes.
07
OR
Q.5 (a) Define cavitation. What are the effects of cavitation? Give the necessary
precautions against cavitation.
07
(b) The difference in water surface levels in two tanks, which are connected by three
pipes in series of lengths 300 m, 170 m and 210 m and of diameters 300 mm, 200
mm, and 400 mm respectively, is 12 m. Determine the rate of flow of water if co-
efficient of friction are 0.005, 0.0052 and 0.0048 respectively, considering (i)
Minor losses and (ii) Neglecting minor losses.
07
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This post was last modified on 20 February 2020