Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2141406 Food Engineering Transport Phenomenon Previous Question Paper
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141406 Date:15/05/2019
Subject Name: Food Engineering Transport Phenomenon
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.
MARKS
Q.1 (a) Define: (i) Atmospheric pressure (ii) Absolute pressure (iii) Guage
pressure
03
(b) Derive the equation for pressure variation in fluid at rest. 04
(c) A differential manometer is connected at the two points A and B of two
pipes. The pipe A contains liquid of specific gravity 1.5 while B
contains liquid of specific gravity 0.9. The vertical distance between
the axes of two pipes is 3 m. The vertical height of liquid column in the
left limb is 5 m. he pressure at A and B are 1kgf/cm
2
and 1.8kgf/cm
2
respectively. Find the difference in mercury level in the differential
manometer.
07
Q.2 (a) At a certain point in an oil the shear stress is 0.2 N/m
2
and the velocity
gradient is 0.21 s
-1
. If the mass density of the oil is 950 kg/ m
3
find the
kinematic viscosity.
03
(b) What is dimensional homogeneity? Check the dimensional
homogeneity of the equation: ?? = ?2???? where V is velocity, g is
acceleration due to gravity and H is height.
04
(c) (i) Describe the phenomena of capillarity rise and fall.
(ii) Determine the minimum size of a glass tube, which can be used to
measure pressure in water flowing system. The capillary rise in the tube
must not exceed 10 mm and surface tension of water- air - glass
interface is 0.001 / N m.
07
OR
(c) Using Buckingham?s ? theorem show that the velocity through a
circular orifice is given by ?? = ?2???? ?? [
?? ?? ,
?? ?????? ] where H is head
causing flow, D is diameter of orifice, ? is coefficient of viscosity, ? is
mass density and g is acceleration due to gravity.
07
Q.3 (a) Define the term (i) Metacentre (ii) Centre of buoyancy (iii) Vapour
pressure
03
(b) A rectangular pontoon is 5 m long 3 m wide and 1.2 m high. The depth
of immersion of pontoon is 0.80 m in sea water. If the centre of gravity
is 0.60 m above the bottom of the pontoon, determine the metacentric
height. Density of sea water = 1025 kgm
-3
04
(c) Derive the equation for the total pressure and center of pressure for
inclined plane surface submerged in liquid.
07
OR
Q.3 (a) If the equation of a velocity profile over a plate is v = 5y
2
+ y (where v
is the velocity in m/s) determine the shear stress at y =0 and at y =7.5cm
. Given the viscosity of the liquid is 8.35 poise.
03
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141406 Date:15/05/2019
Subject Name: Food Engineering Transport Phenomenon
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.
MARKS
Q.1 (a) Define: (i) Atmospheric pressure (ii) Absolute pressure (iii) Guage
pressure
03
(b) Derive the equation for pressure variation in fluid at rest. 04
(c) A differential manometer is connected at the two points A and B of two
pipes. The pipe A contains liquid of specific gravity 1.5 while B
contains liquid of specific gravity 0.9. The vertical distance between
the axes of two pipes is 3 m. The vertical height of liquid column in the
left limb is 5 m. he pressure at A and B are 1kgf/cm
2
and 1.8kgf/cm
2
respectively. Find the difference in mercury level in the differential
manometer.
07
Q.2 (a) At a certain point in an oil the shear stress is 0.2 N/m
2
and the velocity
gradient is 0.21 s
-1
. If the mass density of the oil is 950 kg/ m
3
find the
kinematic viscosity.
03
(b) What is dimensional homogeneity? Check the dimensional
homogeneity of the equation: ?? = ?2???? where V is velocity, g is
acceleration due to gravity and H is height.
04
(c) (i) Describe the phenomena of capillarity rise and fall.
(ii) Determine the minimum size of a glass tube, which can be used to
measure pressure in water flowing system. The capillary rise in the tube
must not exceed 10 mm and surface tension of water- air - glass
interface is 0.001 / N m.
07
OR
(c) Using Buckingham?s ? theorem show that the velocity through a
circular orifice is given by ?? = ?2???? ?? [
?? ?? ,
?? ?????? ] where H is head
causing flow, D is diameter of orifice, ? is coefficient of viscosity, ? is
mass density and g is acceleration due to gravity.
07
Q.3 (a) Define the term (i) Metacentre (ii) Centre of buoyancy (iii) Vapour
pressure
03
(b) A rectangular pontoon is 5 m long 3 m wide and 1.2 m high. The depth
of immersion of pontoon is 0.80 m in sea water. If the centre of gravity
is 0.60 m above the bottom of the pontoon, determine the metacentric
height. Density of sea water = 1025 kgm
-3
04
(c) Derive the equation for the total pressure and center of pressure for
inclined plane surface submerged in liquid.
07
OR
Q.3 (a) If the equation of a velocity profile over a plate is v = 5y
2
+ y (where v
is the velocity in m/s) determine the shear stress at y =0 and at y =7.5cm
. Given the viscosity of the liquid is 8.35 poise.
03
(b) What are dimensionless numbers? Derive the equation of Reynolds
number and Froude number.
04
(c) Discuss the conditions of equilibrium of a floating and submerged
body.
07
Q.4 (a) Calculate : (i) Pressure gradient along the flow (ii) Average velocity
(iii) Discharge for an oil of viscosity 0.02 Ns/m
2
flowing between two
stationary parallel plates 1m wide maintained 10 mm apart. The
velocity midway between the plate is 2m/s.
03
(b) Prove that the velocity distribution for viscous flow between two
parallel plates when both plates are fixed across a section is parabolic
in nature.
04
(c) What is viscous flow? Derive an expression of Hagen Poiseuille
equation.
07
OR
Q.4 (a) Define diffusion and describe in brief about Fick?s law of diffusion. 03
(b) Define: laminar boundary layer, turbulent boundary layer, laminar sub-
layer and boundary layer thickness.
04
(c) Find displacement thickness, momentum thickness and energy
thickness for the velocity distribution in boundary layer given by: u/U
= 2(y/?) - (y/ ?)
2
07
Q.5 (a) The velocity potential function is given by
? = (-xy
3
/3)- x
2
+ (x
3
y/3) + y
2
(i) Find velocity components in x and y direction
(ii) Show that ? represents possible case of flow
03
(b) Derive an equation of discharge through Venturi meter. 04
(c) State Bernoulli?s theorem for steady flow of an incompressible fluid.
Derive an expression for Bernoulli?s theorem from first principle and
state the assumptions made for derivation.
07
OR
Q.5 (a) Write a short note on rotameter. 03
(b) Classify notches and derive an equation of discharge for triangular
notch.
04
(c) Define the equation of continuity. Obtain an expression for continuity
equation for a three dimensional flow.
07
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This post was last modified on 20 February 2020