Download GTU BE/B.Tech 2019 Summer 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 Summer 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 ? SUMMER 2019
Subject Code: 2180503 Date: 17/05/2019

Subject Name: Process Modeling, Simulation & Optimization

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) List out the important model building steps for a process. 03
(b) List out various professional simulator and explain features of any
one in detail.
04
(c) Explain scope and hierarchy of optimization. 07

Q.2 (a) Compare lumped parameter model and distributed parameter model. 03
(b) Write a note on the transport equations used for modeling. 04
(c) A box with a square base and open top is to hold 1000 cm
3
. Find the
dimensions that require the least material (assume uniform thickness
of material) to construct the box.
07
OR
(c) What are the applications of optimization in chemical process and
plants? Explain any one in detail with example.
07
Q.3 (a) Explain the meaning of following terms for optimization: feasible
solution, feasible region and optimum solution.
03
(b) Explain any one tearing algorithm with all the necessary steps. 04
(c) What is Hessian matrix? Write down its application in optimization.
Determine whether the following function is convex or concave:
?? (?? ) = 4?? 1
2
+ 3?? 2
2
+ 5?? 3
2
+ 6?? 1
?? 2
+ ?? 1
?? 3
? 2?? 2
+ 15
07
OR
Q.3 (a) Determine the optimum L/D ratio for a cylinder storage vessel. Also
list the necessary assumptions.
03
(b) Differentiate between steady state and dynamic simulation. 04
(c) Minimize f(x) = x
4
? x + 1 using Newton?s method for a starting point
of x=0.6 (Show 3 iterations, use four decimal point accuracy).
07
Q.4 (a) Differentiate sequential modular approach and simultaneous modular
approach.
03
(b) A chemical process is represented by following set of equations;
?? 1
(?? 3
, ?? 4
) = 0;
?? 2
(?? 5
, ?? 2
) = 0;
?? 3
(?? 6
) = 0;
?? 4
(?? 6
, ?? 1
) = 0;
?? 5
(?? 3
, ?? 2
) = 0;
?? 6
(?? 4
, ?? 5
, ?? 1
) = 0;
Determine associated matrix and the diagraph of the process.
04
(c) Develop the equations for the series of isothermal, variable holdup
CSTRs. List all the assumptions with their justifications.
07
OR
Q.4 (a) Explain the term partitioning and tearing with respect to process
simulation.
03
(b) Develop a signal flow graph for the diagraph given below: 04
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1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2180503 Date: 17/05/2019

Subject Name: Process Modeling, Simulation & Optimization

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) List out the important model building steps for a process. 03
(b) List out various professional simulator and explain features of any
one in detail.
04
(c) Explain scope and hierarchy of optimization. 07

Q.2 (a) Compare lumped parameter model and distributed parameter model. 03
(b) Write a note on the transport equations used for modeling. 04
(c) A box with a square base and open top is to hold 1000 cm
3
. Find the
dimensions that require the least material (assume uniform thickness
of material) to construct the box.
07
OR
(c) What are the applications of optimization in chemical process and
plants? Explain any one in detail with example.
07
Q.3 (a) Explain the meaning of following terms for optimization: feasible
solution, feasible region and optimum solution.
03
(b) Explain any one tearing algorithm with all the necessary steps. 04
(c) What is Hessian matrix? Write down its application in optimization.
Determine whether the following function is convex or concave:
?? (?? ) = 4?? 1
2
+ 3?? 2
2
+ 5?? 3
2
+ 6?? 1
?? 2
+ ?? 1
?? 3
? 2?? 2
+ 15
07
OR
Q.3 (a) Determine the optimum L/D ratio for a cylinder storage vessel. Also
list the necessary assumptions.
03
(b) Differentiate between steady state and dynamic simulation. 04
(c) Minimize f(x) = x
4
? x + 1 using Newton?s method for a starting point
of x=0.6 (Show 3 iterations, use four decimal point accuracy).
07
Q.4 (a) Differentiate sequential modular approach and simultaneous modular
approach.
03
(b) A chemical process is represented by following set of equations;
?? 1
(?? 3
, ?? 4
) = 0;
?? 2
(?? 5
, ?? 2
) = 0;
?? 3
(?? 6
) = 0;
?? 4
(?? 6
, ?? 1
) = 0;
?? 5
(?? 3
, ?? 2
) = 0;
?? 6
(?? 4
, ?? 5
, ?? 1
) = 0;
Determine associated matrix and the diagraph of the process.
04
(c) Develop the equations for the series of isothermal, variable holdup
CSTRs. List all the assumptions with their justifications.
07
OR
Q.4 (a) Explain the term partitioning and tearing with respect to process
simulation.
03
(b) Develop a signal flow graph for the diagraph given below: 04
2

(c) Explain: black-box model, white box model, gray model. 07
Q.5 (a) Minimize the quadratic function f(x) = x
2
? x by Secant method. Use
the range of -3 to +3.
03
(b) Explain the application of optimization in fitting vapor-liquid
equilibrium data.
04
(c) Find the maximum of following function using Lagrangian
multipliers; ?? = 10?? 1
2
? 4?? 1
?? 2
+ 3?? 2
2
+ 5?? 2
?? 3
sunject to
?? 1
+ 2?? 2
? 3
?? 2
? ?? 3
? 2
?? 1
? 1
07
OR

Q.5 (a) List out various region elimination methods for optimization. Also
explain limitations of region elimination methods.
03
(b) Discuss the optimization of pipe diameter. 04
(c) Minimize following function using Simplex method;
?? = 3?? 1
+ 5?? 2
subject to
?? 1
? 4;
2?? 2
? 12;
3?? 1
+ 2?? 2
? 18;
?? 1
, ?? 2
? 0
07
*************
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