Download GTU BE/B.Tech 2019 Winter 3rd Sem New 3132606 Numerical Methods And Viscoelastic Models Of Elastomers Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 3132606 Numerical Methods And Viscoelastic Models Of Elastomers Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3132606 Date: 26/11/2019

Subject Name: Numerical methods & Viscoelastic models of Elastomers
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) State the differences between Young modulus, Bulk modulus and
Modulus of Rigidity.
03
(b) Give the concept of Auxetic materials with suitable examples and
figures.
04
(c) Explain the importance of Poisson?s Ratio and Derive equations for
relation between the different modulus.
07



Q.2 (a) A nylon string has a diameter of 2mm, pulled by a force of 100N.
Determine the tensile stress.
03
(b) List out the factors affecting viscosity. 04
(c) Explain the viscosity theory with suitable example. 07
OR
(c) Draw the schematic diagram of ?Oswald Viscometer? and explain it
in detail.
07
Q.3 (a) Write a brief note on Newton?s model. 03
(b) Derive the stress relaxation experiment equation for Voight model. 04
(c) Discuss in detail about the non Newtonian fluid. 07
OR
Q.3 (a) Explain a brief note on Deborah number. 03
(b) Give the broad classification of polymeric material based on
mechanical behavior.
04
(c) Explain in detail about time dependent fluids. 07
Q.4 (a) How can you estimate the Tg with the help of Bulk properties? 03
(b) List the required properties for Elastomers. 04
(c) Discuss in detail about the structure of an ideal rubber. 07
OR
Q.4 (a) Show the dependence of shear rate on shear stress for Newtonian fluid
with the help of diagram.
03
(b) Summarize the molecular requirements of elastomer. 04
(c) Derive the equation for force constant using entropy elasticity theory. 07
Q.5 (a) Define the terms: (i) Glass transition temperature (ii) Flow
temperature (iii) Melting point
03
(b) Classify the different types of motions exhibited within a polymeric
material.
04
(c) Discuss about the nature of curve showing variation in specific
volume versus temperature for polymeric substances.
07
OR

Q.5 (a) Relate the Glass transition temperature and Melting point for
symmetrical and unsymmetrical polymers respectively.
03
(b) Summarize the change of state with temperature in polymeric
materials.
04
(c) Discuss in detail about the factors influencing the Glass transition
temperature.
07
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