Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 7th Sem New 2170106 Boundary Layer Theory Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2170106 Date: 30/11/2019
Subject Name: Boundary Layer Theory
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.
MARKS
Q.1 (a) Define laminar flow and turbulent flow for flow over an object and
flow through the object.
03
(b) What is the characteristic of a viscous flow? When hydrodynamic
and thermal boundary layers formed over the surface of a body?
04
(c) Derive Von Karmann momentum integral equation. 07
Q.2 (a) Derive the expression for shear stress, local skin friction and
average skin friction coefficient based on Blassius solution.
03
(b) Explain the methods to control boundary layer separation over the
surface.
04
(c) Based on Blassius solution prove that stretching factor 5 defines
boundary layer region along the length of a plate.
07
OR
(c) Derive the expressions for momentum thickness, energy thickness
and displacement thickness.
07
Q.3 (a) How rough pipes and smooth pipes are classified based on
roughness?
03
(b)
Find displacement thickness and momentum thickness for the velocity
distribution in the boundary layer given by,
2
2
u y y
U ??
?
? ? ? ?
??
? ? ? ?
? ? ? ?
04
(c) Derive an expression for the Darcy weisbach equation for loss of
head due to friction in pipes.
07
OR
Q.3 (a) Explain the characteristics of turbulent flow. 03
(b) What is the need to control growth of boundary layer over the body? 04
(c) Discuss the methods of boundary layer control. Give the reasons
those lead boundary layer separation?
07
Q.4 (a)
Draw velocity profile for a fully developed flow?
03
(b)
Derive Orr-Sommerfield equation.
04
(c) Derive the energy equation for thermal boundary layer over the flat
surface.
07
OR
Q.4 (a)
Derive Reynolds analogy.
03
(b) Derive Reynolds stress for turbulent flow. 04
(c) Derive the expression for total drag offered by turbulent boundary
layer over the flat surface.
07
Q.5 (a) What are the factors affecting transition? 03
(b) Discuss in brief laminar airfoils. 04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2170106 Date: 30/11/2019
Subject Name: Boundary Layer Theory
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.
MARKS
Q.1 (a) Define laminar flow and turbulent flow for flow over an object and
flow through the object.
03
(b) What is the characteristic of a viscous flow? When hydrodynamic
and thermal boundary layers formed over the surface of a body?
04
(c) Derive Von Karmann momentum integral equation. 07
Q.2 (a) Derive the expression for shear stress, local skin friction and
average skin friction coefficient based on Blassius solution.
03
(b) Explain the methods to control boundary layer separation over the
surface.
04
(c) Based on Blassius solution prove that stretching factor 5 defines
boundary layer region along the length of a plate.
07
OR
(c) Derive the expressions for momentum thickness, energy thickness
and displacement thickness.
07
Q.3 (a) How rough pipes and smooth pipes are classified based on
roughness?
03
(b)
Find displacement thickness and momentum thickness for the velocity
distribution in the boundary layer given by,
2
2
u y y
U ??
?
? ? ? ?
??
? ? ? ?
? ? ? ?
04
(c) Derive an expression for the Darcy weisbach equation for loss of
head due to friction in pipes.
07
OR
Q.3 (a) Explain the characteristics of turbulent flow. 03
(b) What is the need to control growth of boundary layer over the body? 04
(c) Discuss the methods of boundary layer control. Give the reasons
those lead boundary layer separation?
07
Q.4 (a)
Draw velocity profile for a fully developed flow?
03
(b)
Derive Orr-Sommerfield equation.
04
(c) Derive the energy equation for thermal boundary layer over the flat
surface.
07
OR
Q.4 (a)
Derive Reynolds analogy.
03
(b) Derive Reynolds stress for turbulent flow. 04
(c) Derive the expression for total drag offered by turbulent boundary
layer over the flat surface.
07
Q.5 (a) What are the factors affecting transition? 03
(b) Discuss in brief laminar airfoils. 04
2
(c) Give the approximate solution of thermal boundary layer over a flat
surface.
07
OR
Q.5 (a) Write the expression for local convective heat transfer coefficient
and average heat transfer coefficient.
03
(b) Explain with neat sketch Prandtl mixing length theory for turbulent
shear stress.
04
(c) Derive velocity defect equation for turbulent flow. 07
*************
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This post was last modified on 20 February 2020