Download GTU BE/B.Tech 2019 Winter 8th Sem New 2180503 Process Modeling Simulation And Optimization Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 8th Sem New 2180503 Process Modeling Simulation And Optimization Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? VIII (New) EXAMINATION ? WINTER 2019
Subject Code: 2180503 Date: 29/11/2019

Subject Name: Process Modeling, Simulation & Optimization
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) List the applications of optimization in chemical process
engineering.
03
(b) A poster is to contain 300 cm
2
of printed matter with
margins of 6cm at the top and bottom and 4cm at each
side. Find the overall dimensions that minimize the total
area of the poster.
04
(c) Explain the six steps for solving optimization problems.
List the general obstacles to solve optimization
problems.
07

Q.2 (a) Minimize the quadratic function f(x) = x
2
- x by Qausi
Newton method. Use the range of -3 to +3
03
(b) Explain the necessary and sufficient conditions for an
extermum of an unconstrained function.
04
(c) Minimize f(x) = x
4
- x + 1 using Newton's method. Take
any suitable initial guess. Show at least 4 iterations.
07
OR
(c) Explain the steps for finding the optimum L / D ratio for
a pressurizes cylindrical storage vessel. List all the
variables and the important assumptions.
07
Q.3 (a) Explain equation solving approach in brief. 03
(b) Explain black box model. 04
(c) Give a detail classification of models. 07
OR
Q.3 (a) Compare lumped parameter model and distributed
parameter model.
03
(b) Compare linear and non linear model. 04
(c) Explain partitioning ,tearing, sequential modular
approach.
07
Q.4 (a) Classify the methods to solve unconstrained problems. 03
(b) Explain Random search and grid search method for
unconstrained multivariable optimization.
04
(c) What is linear programming ? State the linear
programming in standard form and write down its
application in chemical industries.
07
OR
Q.4 (a) List out essential features of optimization. 03
(b) Determine convexity or concavity for the following
function, f(x) = 2x1
2
- 3x1x2 + 2x2
2
04
(c) Discuss the optimizing recovery of waste heat with
suitable figure and equations.
07
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1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? VIII (New) EXAMINATION ? WINTER 2019
Subject Code: 2180503 Date: 29/11/2019

Subject Name: Process Modeling, Simulation & Optimization
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) List the applications of optimization in chemical process
engineering.
03
(b) A poster is to contain 300 cm
2
of printed matter with
margins of 6cm at the top and bottom and 4cm at each
side. Find the overall dimensions that minimize the total
area of the poster.
04
(c) Explain the six steps for solving optimization problems.
List the general obstacles to solve optimization
problems.
07

Q.2 (a) Minimize the quadratic function f(x) = x
2
- x by Qausi
Newton method. Use the range of -3 to +3
03
(b) Explain the necessary and sufficient conditions for an
extermum of an unconstrained function.
04
(c) Minimize f(x) = x
4
- x + 1 using Newton's method. Take
any suitable initial guess. Show at least 4 iterations.
07
OR
(c) Explain the steps for finding the optimum L / D ratio for
a pressurizes cylindrical storage vessel. List all the
variables and the important assumptions.
07
Q.3 (a) Explain equation solving approach in brief. 03
(b) Explain black box model. 04
(c) Give a detail classification of models. 07
OR
Q.3 (a) Compare lumped parameter model and distributed
parameter model.
03
(b) Compare linear and non linear model. 04
(c) Explain partitioning ,tearing, sequential modular
approach.
07
Q.4 (a) Classify the methods to solve unconstrained problems. 03
(b) Explain Random search and grid search method for
unconstrained multivariable optimization.
04
(c) What is linear programming ? State the linear
programming in standard form and write down its
application in chemical industries.
07
OR
Q.4 (a) List out essential features of optimization. 03
(b) Determine convexity or concavity for the following
function, f(x) = 2x1
2
- 3x1x2 + 2x2
2
04
(c) Discuss the optimizing recovery of waste heat with
suitable figure and equations.
07
2
Q.5 (a) List the various professional simulators and equation
solver software.
03
(b) Explain modular approach in brief. 04
(c) Describe any one chemical process simulation and its
silent features.
07
OR

Q.5 (a) Define , simulation, optimization and tearing. 03
(b) Differentiate between steady state and dynamic
simulation.
04
(c) Explain what are the obstacles towards solving
optimization problems.
07

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