Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 4th Sem New 2141406 Food Engineering Transport Phenomenon Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2141406 Date:01/12/2018
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.
Q.1 (a) What are dimensionless numbers? Derive the expression for Reynold?s
number.
03
(b) An open tank contains water upto a depth of 2m and above it an oil of
specific gravity 0.9 for a depth of 1 m. Find the pressure intensity at
interface of two liquid as well as at the bottom of the tank.
04
(c) What are real and ideal fluids? Explain with diagram the properties of
Newtonian and non-Newtonian fluid.
07
Q.2 (a) Prove that maximum velocity in a circular pipe for viscous flow is equal
to two times the average velocity of the flow
03
(b) Explain with diagram the concept of guage pressure, vacuum pressure and
absolute pressure.
04
(c) (i) Describe the phenomena of capillarity rise and fall.
(ii) A 0.6-mm-diameter glass tube is inserted into water at 20?C in a cup.
Determine the capillary rise of water in the tube. Given the surface tension
of water at 20?C is 0.073 N/m and the contact angle of water with glass is
0?.
07
OR
(c) State and prove Hydrostatic law 07
Q.3 (a) Differentiate between simple manometer and differential manometer. 03
(b) Derive an expression for the force exerted on a submerged vertical plane
surface by the static liquid and locate the position of centre of pressure
04
(c) Define metacentric height. A rectangular pontoon is 6 m long 4 m wide
and 1.8 m high. The depth of immersion of pontoon is 1.2 m in sea water.
If the centre of gravity is 0.9 m above the bottom of the pontoon, determine
the metacentric height. Density of sea water = 1025 kgm
-3
07
OR
Q.3 (a) Define the terms (i) Velocity potential function (ii) Stream function 03
(b) Water is flowing through a pipe of 5 cm diameter under a pressure of 29.43
Ncm
-2
(guage) and with a mean velocity of 2.0 ms
-1
. Find the total head per
unit weight of the water at a cross-section, which is 5 m above the datum
line
04
(c) Derive an equation for difference of pressure head of viscous fluid flowing
through two fixed parallel plates
07
Q.4 (a) Discuss the conditions of equilibrium of submerged bodies 03
(b) Give one practical example of each
1) Laminar flow
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2141406 Date:01/12/2018
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.
Q.1 (a) What are dimensionless numbers? Derive the expression for Reynold?s
number.
03
(b) An open tank contains water upto a depth of 2m and above it an oil of
specific gravity 0.9 for a depth of 1 m. Find the pressure intensity at
interface of two liquid as well as at the bottom of the tank.
04
(c) What are real and ideal fluids? Explain with diagram the properties of
Newtonian and non-Newtonian fluid.
07
Q.2 (a) Prove that maximum velocity in a circular pipe for viscous flow is equal
to two times the average velocity of the flow
03
(b) Explain with diagram the concept of guage pressure, vacuum pressure and
absolute pressure.
04
(c) (i) Describe the phenomena of capillarity rise and fall.
(ii) A 0.6-mm-diameter glass tube is inserted into water at 20?C in a cup.
Determine the capillary rise of water in the tube. Given the surface tension
of water at 20?C is 0.073 N/m and the contact angle of water with glass is
0?.
07
OR
(c) State and prove Hydrostatic law 07
Q.3 (a) Differentiate between simple manometer and differential manometer. 03
(b) Derive an expression for the force exerted on a submerged vertical plane
surface by the static liquid and locate the position of centre of pressure
04
(c) Define metacentric height. A rectangular pontoon is 6 m long 4 m wide
and 1.8 m high. The depth of immersion of pontoon is 1.2 m in sea water.
If the centre of gravity is 0.9 m above the bottom of the pontoon, determine
the metacentric height. Density of sea water = 1025 kgm
-3
07
OR
Q.3 (a) Define the terms (i) Velocity potential function (ii) Stream function 03
(b) Water is flowing through a pipe of 5 cm diameter under a pressure of 29.43
Ncm
-2
(guage) and with a mean velocity of 2.0 ms
-1
. Find the total head per
unit weight of the water at a cross-section, which is 5 m above the datum
line
04
(c) Derive an equation for difference of pressure head of viscous fluid flowing
through two fixed parallel plates
07
Q.4 (a) Discuss the conditions of equilibrium of submerged bodies 03
(b) Give one practical example of each
1) Laminar flow
04
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2
2) Turbulent flow
3) Steady flow
4) Uniform flow
(c) Explain laminar boundary layer, turbulent boundary layer and laminar sub
layer with suitable diagram.
07
OR
Q.4 (a) Define the term: (a) Dynamic viscosity (b) Kinematic viscosity. Give their
dimensions.
03
(b) The diameters of a pipe at the section 1 and 2 are 10 cm and 15 cm
respectively. Find the discharge through the pipe if the velocity of water
flowing through the pipe at the section 1 is 5 m/s. Determine also the
velocity at section 2.
04
(c) A horizontal venturimeter with inlet and outlet throat diameter 30 cm and
15 cm respectively is used to measure the flow of water. The reading of
differential manometer connected to the inlet and the throat is 20 cm of
mercury. Determine the rate of flow. Take Cd=0.98, Specific gravity of
mercury =13.6
07
Q.5 (a) The velocity potential function is given by ?? = 5 ( ?? 2
? ?? 2
). Calculate the
velocity components at the point (4,5).
03
(b) Derive an equation for pressure inside a water droplet. 04
(c) Derive an equation for displacement thickness. 07
OR
Q.5 (a) Explain with diagram the concept of guage pressure, vacuum pressure and
absolute pressure.
03
(b) Define similitude. Explain different types of similarities that must exist
between the model and the prototype.
04
(c) The resisting force R of a supersonic plane during flight can be considered
as dependent upon the length of the aircraft l, velocity V, air viscosity ?,
air density ? and bulk modulus of air K. Express the functional relationship
between these variables and the resisting force using Buckingham?s ?-
theorem.
07
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This post was last modified on 20 February 2020