Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 6th Sem Old 160602 Applied Fluid Mechanics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(OLD) ? EXAMINATION ? SUMMER 2019
Subject Code:160602 Date:29/05/2019
Subject Name: Applied Fluid Mechanics
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) Define specific energy. Explain specific energy diagram with its applications. 07
(b) State and prove Buckingham?s ? theorem. How repeating variables are selected
in dimension analysis.
07
Q.2 (a) Prove that maximum velocity is 1.5 times the average velocity of the flow for
viscous flow between two parallel fixed plates.
07
(b) Derive equation of boundary layer thickness and coefficient of drag in term of
Reynolds?s number.
07
OR
(b) What are different types of characteristic curves of a hydraulic turbine? How they
are obtained and useful to engineer?
07
Q.3 (a) The ratio of lengths of submarine and its model is 25:1. Speed of prototype is
15m/sec. If model to be tested in wind tunnel, find speed of model. Also
determine ratio of drag force between model and its prototype, if kinematic
viscosity for sea water and air as 0.014 stokes & 0.018 stokes respectively. Take
density of sea water and air as 980 kg/m
3
and 1.35 kg/m
3
respectively. If
resistance force offered by a model is 75 N. Find resistance experience by
submarine.
07
(b) What is water hammer effect? Derive equation for pressure growth due to gradual
and sudden closure of valve in a rigid pipe.
07
OR
Q.3 (a) Describe Von Karman momentum integral equation. 07
(b) Discuss shear stress in a turbulent flow. Also explain hydro dynamically smooth
and rough boundaries.
07
Q.4 (a) A trapezoidal channel section having a longitudinal slope of 1 in 2100 with side
slope of 1:1.5. Calculate bed width and depth of flow if channel design for a
discharge of 130 cumec with depth of flow 0.7 times its width. Take Manning?s
coefficient as 0.019.
07
(b) Explain various dimensionless numbers. What are its applications in dimension
analysis?
07
OR
Q.4 (a) Derive condition for maximum velocity and maximum discharge in case of the
most economical circular channel section.
07
(b) Define and classify ventilation system. Describe requirements of good ventilation
systems.
07
Q.5 (a) A Pelton wheel turbine is to be designed for a head of 75 m, when running at 225
rpm. The Pelton wheel develops a 120 KW shaft power. The bucket velocity is
0.45 times velocity of a jet. Take overall efficiency as 85% and coefficient of
velocity is equal to 0.98.
07
(b) State applications of Froude?s model law. Also find scale ratio for various
physical quantities based on Froude?s model law.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(OLD) ? EXAMINATION ? SUMMER 2019
Subject Code:160602 Date:29/05/2019
Subject Name: Applied Fluid Mechanics
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) Define specific energy. Explain specific energy diagram with its applications. 07
(b) State and prove Buckingham?s ? theorem. How repeating variables are selected
in dimension analysis.
07
Q.2 (a) Prove that maximum velocity is 1.5 times the average velocity of the flow for
viscous flow between two parallel fixed plates.
07
(b) Derive equation of boundary layer thickness and coefficient of drag in term of
Reynolds?s number.
07
OR
(b) What are different types of characteristic curves of a hydraulic turbine? How they
are obtained and useful to engineer?
07
Q.3 (a) The ratio of lengths of submarine and its model is 25:1. Speed of prototype is
15m/sec. If model to be tested in wind tunnel, find speed of model. Also
determine ratio of drag force between model and its prototype, if kinematic
viscosity for sea water and air as 0.014 stokes & 0.018 stokes respectively. Take
density of sea water and air as 980 kg/m
3
and 1.35 kg/m
3
respectively. If
resistance force offered by a model is 75 N. Find resistance experience by
submarine.
07
(b) What is water hammer effect? Derive equation for pressure growth due to gradual
and sudden closure of valve in a rigid pipe.
07
OR
Q.3 (a) Describe Von Karman momentum integral equation. 07
(b) Discuss shear stress in a turbulent flow. Also explain hydro dynamically smooth
and rough boundaries.
07
Q.4 (a) A trapezoidal channel section having a longitudinal slope of 1 in 2100 with side
slope of 1:1.5. Calculate bed width and depth of flow if channel design for a
discharge of 130 cumec with depth of flow 0.7 times its width. Take Manning?s
coefficient as 0.019.
07
(b) Explain various dimensionless numbers. What are its applications in dimension
analysis?
07
OR
Q.4 (a) Derive condition for maximum velocity and maximum discharge in case of the
most economical circular channel section.
07
(b) Define and classify ventilation system. Describe requirements of good ventilation
systems.
07
Q.5 (a) A Pelton wheel turbine is to be designed for a head of 75 m, when running at 225
rpm. The Pelton wheel develops a 120 KW shaft power. The bucket velocity is
0.45 times velocity of a jet. Take overall efficiency as 85% and coefficient of
velocity is equal to 0.98.
07
(b) State applications of Froude?s model law. Also find scale ratio for various
physical quantities based on Froude?s model law.
07
2
OR
Q.5 (a) Explain cavitations in turbine and centrifugal pump. Also give its effects and
precautions against cavitations.
07
(b) Discuss separation of boundary layers. Which methods are preventing separation
of boundary layer?
07
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This post was last modified on 20 February 2020