GTU BE 2019 Summer Question Papers || Gujarat Technological University
Seat No.: Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
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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:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- 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 | ||
| (a) Explain fitting of VLE data by Non linear regression. | 07 | |
| (b) Describe the obstacles to optimization. | 07 | |
| Q.3 | (a) Explain steepest descent method. | 07 |
| OR | ||
| (b) 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=ß1f1+ ß2A+ ß3N, Where ß1, ß2, and ß3 are constants, N=number of tubes, A=shell surface area. Estimate the values of the constants ß1, ß2 and ß3 from the data in following table. Labor cost ($) 310 | 300 | 275 | 250 | 220 | 200 | 190 | 150 | 140 | 100 --- Content provided by FirstRanker.com --- Area (A) 120 | 130 | 108 | 110 | 84 | 90 | 80 | 55 | 64 | 50Number of tubes (N) | 550 | 600 | 520 | 420 | 400 | 300 | 230 | 120 | 190 | 100 | 07 | |
| Q.4 | (a) 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 |
| (b) Minimize f(x) = x4 + 1 using Newton’s method. Take starting point = 3. | 07 | |
| Q.5 | (a) What is linear Programming Problem? State the linear programming in standard form and write down its application in chemical industries. | 07 |
| OR | ||
| (b) Determine convexity or concavity for the following functions. f(x) =4x12 + 6x1x2 + 3x22 + 5x22 + x1x3-3x3x1-2x1+15 --- Content provided by FirstRanker.com --- Minimize f(x) = 4x12 + 5x22 subject to 2x1 + 3x2 — 6 = 0 using Lagrange Multipliers method. | 07 | |
| (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 | ||
| (a) Write short note on Simulation Software. | 07 | |
| (b) Explain partitioning and tearing with example. | 07 | |
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