Agustriyanto Nonliniear programming Reference 2010
Table 2. Results
Flowrates
Contaminant Concentration (C)
Stream Values, ton/h
Cij,out/in*
Values, ppm
F1
45
14.99
CA1,out
F2
8.45
CB1,out
399.8
F3
52.18
CC1,out
34.98
W1
17.45
CA2,out
111.27
W2
33.99
CB2,out
12,499
W3
55.16
CC2,out
178.01
F12
25.06
CA3,out
43.55
F13
CB3,out
2.51
9,433
F23
0
CC3,out
11.38
F32
0.062
CA2,in
298.51
CB2,in
43.51
CC2,in
0.69
CA3,in
18.37
CB3,in
1.61
CC3,in
102.1
*i = species (A,B, or C), j = equipment number.
VI. Conclusion
Mathematical approach based on mass balance has been used in minimization of fresh
water consumption for multi contaminant mass exchanger network. The non-linear
programming is used for the water allocation problem being studied. The results can be
obtained effectively by using Matlab Optimization Toolbox.
VII. Reference
1. Bagajewicz, M. (2000). A Review of Recent Design Procedures for Water Networks in
Refineries and Process Plants. Computer and Chemical Engineering, 24, pp.2093-2113.
2. Doyle, S.J, & Smith, R. (1997). Targeting Water Reuse with Multiple Contaminants.
Trans. IChemE, 75, Part B, pp. 181-189.
3. El-Halwagi, M.M.. (1997). Pollution Prevention through Process Integration: Systematic
Design Tools. California, USA: Academic Press.
4. Li , B.H., and Chang, C.T. (2007). A Simple and Efficient Intitialization Strategy for
Optimizing Water-Using Network Design. Ind. Eng. Chem. Res., 46, 8781 – 8786.
5. Perry, R.H., and Green, D.W. (1997). Perry’s Chemical Engineers’ Handbook. 7th Ed.
6. Saeedi, M and Hosseinzadeh, M. (2006). Optimization of Water Consumption in
Industrial System using Linear and Nonlinear Programming. Journal of Applied Sciences,
6 (11), pp. 2386 – 2393).
7. Savelski, M. and Bagajewicz, M. (2003). On the Necessary Conditions of Optimality of
Water Utilization Systems in Process Plants with Multiple Contaminants. Chem. Eng. Sci,
58, pp. 5349 – 5362.
8. Srinophakun, T., Suriyapraphadilok U., and Tia, S. (1999). Water-Wastewater
Management of Tapioca Starch Manufacturing Using Optimization Technique.
ScienceAsia, 26, pp. 57-67.
9. Wang, Y.P., and Smith. R (1994). Wastewater Minimization. Chem. Eng. Sci, 49 (7),
pp.981-1006.
10. Wang, Y.P., and Smith. R (1995). Wastewater Minimization with Flowrate Constraints.
Trans. IChemE, 73, pp.889-904.
Flowrates
Contaminant Concentration (C)
Stream Values, ton/h
Cij,out/in*
Values, ppm
F1
45
14.99
CA1,out
F2
8.45
CB1,out
399.8
F3
52.18
CC1,out
34.98
W1
17.45
CA2,out
111.27
W2
33.99
CB2,out
12,499
W3
55.16
CC2,out
178.01
F12
25.06
CA3,out
43.55
F13
CB3,out
2.51
9,433
F23
0
CC3,out
11.38
F32
0.062
CA2,in
298.51
CB2,in
43.51
CC2,in
0.69
CA3,in
18.37
CB3,in
1.61
CC3,in
102.1
*i = species (A,B, or C), j = equipment number.
VI. Conclusion
Mathematical approach based on mass balance has been used in minimization of fresh
water consumption for multi contaminant mass exchanger network. The non-linear
programming is used for the water allocation problem being studied. The results can be
obtained effectively by using Matlab Optimization Toolbox.
VII. Reference
1. Bagajewicz, M. (2000). A Review of Recent Design Procedures for Water Networks in
Refineries and Process Plants. Computer and Chemical Engineering, 24, pp.2093-2113.
2. Doyle, S.J, & Smith, R. (1997). Targeting Water Reuse with Multiple Contaminants.
Trans. IChemE, 75, Part B, pp. 181-189.
3. El-Halwagi, M.M.. (1997). Pollution Prevention through Process Integration: Systematic
Design Tools. California, USA: Academic Press.
4. Li , B.H., and Chang, C.T. (2007). A Simple and Efficient Intitialization Strategy for
Optimizing Water-Using Network Design. Ind. Eng. Chem. Res., 46, 8781 – 8786.
5. Perry, R.H., and Green, D.W. (1997). Perry’s Chemical Engineers’ Handbook. 7th Ed.
6. Saeedi, M and Hosseinzadeh, M. (2006). Optimization of Water Consumption in
Industrial System using Linear and Nonlinear Programming. Journal of Applied Sciences,
6 (11), pp. 2386 – 2393).
7. Savelski, M. and Bagajewicz, M. (2003). On the Necessary Conditions of Optimality of
Water Utilization Systems in Process Plants with Multiple Contaminants. Chem. Eng. Sci,
58, pp. 5349 – 5362.
8. Srinophakun, T., Suriyapraphadilok U., and Tia, S. (1999). Water-Wastewater
Management of Tapioca Starch Manufacturing Using Optimization Technique.
ScienceAsia, 26, pp. 57-67.
9. Wang, Y.P., and Smith. R (1994). Wastewater Minimization. Chem. Eng. Sci, 49 (7),
pp.981-1006.
10. Wang, Y.P., and Smith. R (1995). Wastewater Minimization with Flowrate Constraints.
Trans. IChemE, 73, pp.889-904.