Design of Sewer Line
Publication: Journal of Environmental Engineering
Volume 127, Issue 9
Abstract
Sewerage involves the major portion of the cost of a wastewater system. In the design of a sewerage system the sewer line is the basic unit occurring repeatedly in the design process. Any savings during the design of this unit will affect the overall cost of the sewerage system. A survey of the literature showed that the present status of sewer line design algorithms use linear programming and dynamic programming. The linear programming, using piecewise linearization of the objective function and constraints in every cycle, requires substantial computer time. On the other hand, dynamic programming algorithms are subjected to the “curse of dimensionality,” thus requiring large amounts of computer memory. In this paper, using a dimensionally consistent resistance equation, the sewer line design problem is formulated as a minimization of the cost function subjected to tight and loose constraints. The problem is solved by iterative application of the Lagrange-multiplier method.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Argaman, Y., Shamir, U., and Spivak, E. (1973). “Design of optimal sewerage system.”J. Envir. Engrg. Div., ASCE, 99(5), 703–716.
2.
ASCE Task Force on Friction Factors in Open Channels. (1963). “Friction factors in open channels.”J. Hydr. Div., ASCE, 89(2), 97–143.
3.
Binder, R. C. ( 1975). Fluid mechanics, 5th Ed., Prentice-Hall of India, New Delhi.
4.
Camp, T. R. ( 1946). “Design of sewers to facilitate flow.” Sewage Works J., 18(1), 3–16.
5.
Charalambous, C., and Elimam, A. A. (1990). “Heuristic design of sewer networks.”J. Envir. Engrg., ASCE, 116(6), 1181–1199.
6.
Christensen, B. A. (1984). “Discussion of `Flow velocities in pipelines,' by Richard R. Pomeroy.”J. Hydr. Engrg., ASCE, 110(10), 1510–1512.
7.
Cook, L. A., and Lockwood, B. ( 1977). “The investigation of sewer network by computer.” J. Inst. of Civ. Engrs., Part 2, 63(2), 481–494.
8.
Dajani, J. S., Gemmel, R. S., and Morlok, E. K. (1972). “Optimal design of urban wastewater collection networks.”J. Sanit. Engrg. Div., ASCE, 98(6), 853–867.
9.
Dajani, J. S., and Hasit, Y. (1974). “Capital cost minimization of drainage networks.”J. Envir. Engrg. Div., ASCE, 100(2), 325–337.
10.
Dasher, D. P., and Davis, P. K. (1986). “Designing sanitary sewers with microcomputers.”J. Envir. Engrg., ASCE, 112(6), 993–1007.
11.
Elimam, A. A., Charalombus, C., and Ghobrial, F. H. (1989). “Optimal design of large sewer networks.”J. Envir. Engrg., ASCE, 115(6), 1171–1189.
12.
Gupta, J. M., Agarwal, S. K., and Khanna, P. (1976). “Optimal design of wastewater collection system.”J. Envir. Engrg. Div., ASCE, 102(5), 1029–1041.
13.
Jain, R. K. ( 1987). “Optimal design of a sewer line.” ME dissertation, University of Roorkee, Roorkee, Uttaranchal, India.
14.
Liebman, J. C. (1967). “A heuristic aid for the design of sewer networks.”J. Sanit. Engrg. Div., ASCE, 93(4), 81–90.
15.
Liou, C. P. (1998). “Limitations and proper use of the Hazen-Williams equation.”J. Hydr. Engrg., ASCE, 124(9), 951–954.
16.
Lorine, J. M. ( 1982). “Sanitary sewer design.” Civ. Engrg., ASCE, 52(6), 66–67.
17.
Manual on sewerage and sewage treatment. (1984). Central Public Health and Envir. Engrg. Org., Ministry of Works and Housing, New Delhi.
18.
Mays, L. W. (1978). “Sewer network scheme for digital computations.”J. Envir. Engrg. Div., ASCE, 104(3), 535–539.
19.
Merritt, L. B., and Bogan, R. H. (1973). “Computer-based optimal design of sewer systems.”J. Envir. Engrg. Div., ASCE, 99(1), 35–53.
20.
Miles, S. W., and Heaney, J. P. (1988). “Better than `optimal' method for designing drainage systems.”J. Water Resour. Plng. and Mgmt., ASCE, 114(5), 477–499.
21.
Nalluri, C., and Dabrowski, W. (1994). “Need for new standards to prevent deposition in wastewater sewer.”J. Envir. Engrg., ASCE, 120(5), 1032–1043.
22.
Swamee, P. K. (1994). “Normal depth equations for irrigation canals.”J. Irrig. and Drain. Engrg., ASCE, 120(5), 942–948.
23.
Swamee, P. K., Bhargava, R., and Sharma, A. K. (1987). “Non-circular sewer design.”J. Envir. Engrg., ASCE, 113(4), 824–833.
24.
Swamee, P. K., and Jain, A. K. (1976). “Explicit equations for pipe flow problems.”J. Hydr. Div., ASCE, 102(5), 657–664.
25.
Swamee, P. K., Mishra, G. C., and Chahar, B. R. ( 2000). “Minimum cost design of lined canal sections.” J. Water Resour. Mgmt., Dordrecht, The Netherlands, 14(1), 1–12.
26.
Tyagi, A. ( 1989). “Optimal sewer line design.” ME dissertation, University of Roorkee, Roorkee, Uttaranchal, India.
27.
Walsh, S., and Brown, L. C. (1973). “Least cost method for sewer designs.”J. Envir. Engrg. Div., ASCE, 99(3), 333–345.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 127 • Issue 9 • September 2001
Pages: 776 - 781
History
Received: May 2, 2000
Published online: Sep 1, 2001
Published in print: Sep 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.