Download GTU BE/B.Tech 2019 Summer 4th Sem New 2141406 Food Engineering Transport Phenomenon Question Paper

FirstRanker.com

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER-IV(NEW) - EXAMINATION - SUMMER 2019

--- Content provided by FirstRanker.com ---

Subject Code:2141406

Subject Name: Food Engineering Transport Phenomenon

Time:02:30 PM TO 05:00 PM

Instructions:

1. Attempt all questions.

--- Content provided by‍ FirstRanker.com ---

2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. Define: (i) Atmospheric pressure (ii) Absolute pressure (iii) Gauge pressure [03]
2. Derive the equation for pressure variation in fluid at rest. [04]

--- Content provided by⁠ FirstRanker.com ---

3. 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. The pressure at A and B are 1kgf/cm² and 1.8kgf/cm² respectively. Find the difference in mercury level in the differential manometer. [07]

OR

1. At a certain point in an oil the shear stress is 0.2 N/m² and the velocity gradient is 0.21 s?¹. If the mass density of the oil is 950 kg/m³ find the kinematic viscosity. [03]
2. What is dimensional homogeneity? Check the dimensional homogeneity of the equation: V = v(2gH) where V is velocity, g is acceleration due to gravity and H is height. [04]
3. (i) Describe the phenomena of capillarity rise and fall.
   

   --- Content provided by FirstRanker.com ---

   (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]

Q.2

1. Using Buckingham’s p theorem show that the velocity through a circular orifice is given by V = v(2gH) ¢ [g,µ/?] where H is head causing flow; D is diameter of orifice, µ is coefficient of viscosity, ? is mass density and g is acceleration due to gravity. [07]
2. Define the term (i) Metacentre (ii) Centre of buoyancy (iii) Vapour pressure [03]
3. 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 kg/m³ [04]

--- Content provided by⁠ FirstRanker.com ---

OR

1. Derive the equation for the total pressure and center of pressure for inclined plane surface submerged in liquid. [07]
2. If the equation of a velocity profile over a plate is v = 5y + y² (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]

Q.3

1. Explain the terms: Reynolds number, Mach number and Froude number. [04]

--- Content provided by⁠ FirstRanker.com ---

2. Discuss the conditions of equilibrium of a floating and submerged body. [07]

Q.4

1. Calculate : (i) Pressure gradient along the flow (ii) Average velocity (iii) Discharge for an oil of viscosity 0.02 Ns/m² flowing between two stationary parallel plates 1m wide maintained 10 mm apart. The velocity midway between the plate is 2m/s. [03]
2. 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]
3. What is viscous flow? Derive an expression of Hagen Poiseuille equation. [07]

--- Content provided by‍ FirstRanker.com ---

OR

1. Define diffusion and describe in brief about Fick’s law of diffusion. [03]
2. Define: laminar boundary layer, turbulent boundary layer, laminar sub-layer and boundary layer thickness. [04]
3. Find displacement thickness, momentum thickness and energy thickness for the velocity distribution in boundary layer given by: u/U =2(y/d) - (y/d)² [07]

Q.5

--- Content provided by‌ FirstRanker.com ---

1. The velocity potential function is given by f = (xy²/3) - x² + (y³/3) + y
   (i) Find velocity components in X and y direction
   (ii) Show that f represents possible case of flow [03]
2. Derive an equation of discharge through Venturi meter. [04]
3. 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]

--- Content provided by‌ FirstRanker.com ---

OR

1. Write a short note on rotameter. [03]
2. Classify notches and derive an equation of discharge for triangular notch. [04]
3. Define the equation of continuity. Obtain an expression for continuity equation for a three dimensional flow. [07]

Date:15/05/2019

--- Content provided by‍ FirstRanker.com ---

Total Marks: 70

FirstRanker.com