GTU BE 4th Semester 142101 Transport Phenomena In Materials Processing Summer 2018 Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE – SEMESTER ?IV (OLD) – EXAMINATION ? SUMMER 2018
Subject Code:142101 Date:19/05/2018
Subject Name: Transport Phenomena In Materials Processing
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) State Newton?s Law of Viscosity and classify fluid. Explain fluid properties. 07
(b) What are different methods to study fluid flow? Explain different types of fluid
flow.
07

Q.2 (a) Derive differential momentum balance equation. 07
(b) If velocity distribution for fluid of density 713.5 kg/m
3
and dynamic viscosity
0.863 N-s/m
2
is passing through pipe is given by U= 0.67 Y – Y
2
where U is
velocity in m/sec and Y is distance in meter. Determine shear stress at Y = 0 m
and Y = 0.25 m. Also calculate specific weight, specific gravity and weight for 1
liter of fluid.
07
OR
(b) State Euler? equation and derive Bernoulli?s equation from it. 07

Q.3 (a) Derive differential mass balance equation. 07
(b) i ] Consider copper slab of thickness 0.25 m with thermal conductivity [k] = 385.6
W/m K. If heat flux across the slab is 154.240 KW/m
2
and temperature on one
side is 373 K. Calculate temperature on other side of slab.
ii ] If same copper slab of high temperature side is lined with brick wall of 250
mm with thermal conductivity [k] = 0.5 W/m K with heat flux of 500 W/m
2
.
Calculate temperature on other side of brick wall.
07
OR
Q.3 (a) State Fourier law of heat conduction and derive general equation of heat
conduction.
07
(b) What is convection? Differentiate between free and forced convection. 07

Q.4 (a) Explain mass concentration, molar concentration, mass fraction and molar
fraction.
07
(b) What is mass transfer? Explain different modes of mass transfer. 07
OR
Q.4 (a) Calculate mass concentration, molar concentration, mass fraction and molar
fraction for a binary mixture of oxygen (O2) and nitrogen (N2) having total
pressure 1 x 10
5
N/m
2
and partial pressure 0.21 and 0.79 respectively at 300 K.
07
(b) State Fick?s laws of mass diffusion and explain Kirkindall effect. 07

Q.5 (a) Derive general equation of mass diffusion in stationary media. 07
(b) Write note on pseudo steady diffusion. 07
OR
Q.5 (a) In terms of radiation explain white body, gray body, black body, emissivity. 07
(b) Explain Planck’s Law, Wein’s distribution Law and Lambert’s Law. 07
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