Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 8th Sem Old 180503 Process Simulation And Optimization Previous Question Paper
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII (OLD) EXAMINATION ? SUMMER 2019
Subject Code: 180503 Date: 13/05/2019
Subject Name:Process 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) Discuss the features of basic tearing algorithm. 07
(b) Explain the meaning of following terms for optimization: feasible solution, feasible
region, optimal solution, underdetermined model and over determined model.
07
Q.2 (a) Discuss the optimization of pipe diameter. 07
(b) Discuss the optimization recovery of waste Heat. 07
OR
(b) Explain fitting of VLE data by Non linear regression. 07
Q.3 (a)
Describe the obstacles to optimization.
07
(b) Explain steepest descent method. 07
OR
Q.3 (a) The analysis of labor costs involved in the fabrication of heat exchangers can be used to
predict the cost of a new exchanger of the same class. Let the cost be expressed as a linear
equation. C = ?1 + ?2A + ?3N,
Where ?1, ?2, and ?3 are constants, N=number of tubes, A=shell surface area. Estimate the
values of the constants ?1, ?2 and ?3 from the data in following table.
Labor cost ($) 310 300 275 250 220 200 190 150 140 100
Area (A) 120 130 108 110 84 90 80 55 64 50
Numberof tubes (N) 550 600 520 420 400 300 230 120 190 100
07
(b) A chemical process is represented by following set of equations
f1(x3,x4) = 0; f2(x5,x2) = 0; f3(x6) = 0; f4(x6,x1) = 0; f5(x3,x2) = 0; f6(x4,x5,x1) = 0
Determine Associated incidence matrix, digraph of the process and associated adjacency
matrix.
07
Q.4 (a) Minimize f(x) = ?? 4
? ?? + 1 using Newton?s method. Take starting point = 3. 07
(b) What is linear Programming Problem? State the linear programming in standard form and
write down its application in chemical industries.
07
OR
Q.4 (a) Determine convexity or concavity for the following functions.
f(x) = 4 ?? 1
2
+ 6 ?? 1
?? 2
+ 3 ?? 2
2
+ 5 ?? 3
2
+ ?? 1
?? 3
-3 ?? 1
-2?? 2
+15
07
(b) Minimize f(x) = 4 ?? 1
2
+ 5 ?? 2
2
subject to 2 ?? 1
+ 3 ?? 2
? 6 = 0 using Lagrange Multipliers
method.
07
Q.5 (a) Differentiate between equation oriented model and modular based model. 07
(b) Determine the optimum L/D ratio for a cylindrical storage vessel. Compare it with the
thumb rule L/D = 3. List the necessary assumptions.
07
OR
Q.5 (a) Write short note on Simulation Software. 07
(b) Explain partitioning and tearing with example. 07
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This post was last modified on 20 February 2020