Solving Flow-Constrained Networks: Inverse Problem
This article has a reply.
VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 121, Issue 5
Abstract
Necessary and sufficient conditions for solving flow-constrained networks are developed. These conditions are predicated on the interrelation between the decision variables specified and the network-flow hydraulics. They are applicable to even-determined models of water-distribution systems. The decision variables are selected from a wide range of pipe-system parameters and are calculated explicitly to satisfy stated flow-equality constraints. A continuous-variable space is assumed for the solution. The determination of such conditions is important for comprehensive and effective modeling and optimization of water-distribution networks. These conditions can serve as guidelines to supplement existing procedures of network analysis.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bhave, P. R.(1986). “Unknown pipe characteristics in Hardy-Cross method of network analysis.”J. Indian Water Works Assoc., India, 18(2), 133–135.
2.
Bhave, P. R.(1988). “Calibrating water distribution network models.”J. Envir. Engrg., ASCE, 114(1), 120–136.
3.
Bhave, P. R.(1990). “Rules for solvability of pipe networks.”J. Indian Water Works Assoc., 22(1), 7–10.
4.
Bhave, P. R. (1991). Analysis of flow in water distribution networks. Technomic Publishing Co., Inc., Lancaster, Pa.
5.
Boulos, P. F., and Altman, T. (1991). “A graph-theoretic approach to explicit nonlinear pipe network optimization.”J. Appl. Mathematical Modelling, Vol. 15, 459–466.
6.
Boulos, P. F., and Altman, T. (1993). “An explicit approach for modelling closed pipes in water networks.”J. Appl. Mathematical Modelling, Vol. 17, 437–443.
7.
Boulos, P. F., Altman, T., and Liou, J. C. P. (1993). “On the solvability of water distribution networks with unknown pipe characteristics.”J. Appl. Mathematical Modelling, Vol. 17, 380–387.
8.
Boulos, P. F., and Ormsbee, L. E. (1991a). “Explicit network calibration for multiple loading conditions.”J. Civ. Engrg. Systems, Vol. 8, 153–160.
9.
Boulos, P. F., and Ormsbee, L. E. (1991b). “A comprehensive algorithm for network calibration.”18th Annu. ASCE Water Resour. Conf., ASCE, New York, N.Y., 949–953.
10.
Boulos, P. F., and Wood, D. J.(1990a). “Explicit calculation of pipe network parameters.”J. Hydr. Engrg., ASCE, 116(11), 1329–1344.
11.
Boulos, P. F., and Wood, D. J. (1990b). KYPIPED: A comprehensive pipe distribution network analyzer . Civ. Engrg. Software Ctr., Univ. of Kentucky, Lexington, Ky.
12.
Boulos, P. F., and Wood, D. J. (1991a). “An explicit algorithm for calculating operating parameters for water networks.”J. Civ. Engrg. Systems, Vol. 8, 115–122.
13.
Boulos, P. F., and Wood, D. J. (1991b). “Explicit determination of network parameters for improving water distribution system performance.”2nd Int. Conf. on Computer Methods and Water Resour., Rabat, Morocco.
14.
Boulos, P. F., and Wood, D. J. (1992). “Closure to `Explicit calculation of pipe network parameters.”' J. Hydr. Engrg., ASCE, 118(7), 1062–1063.
15.
Gofman, E., and Rodeh, M.(1981). “Loop equations with unknown pipe characteristics.”J. Hydr. Div., ASCE, 107(9), 1047–1060.
16.
Jowitt, P. W., and Xu, C.(1990). “Optimal valve control in water distribution networks.”J. Water Resour. Plng. and Mgmt., ASCE, 116(4), 455–472.
17.
Liggett, J. A. (1993). “Network monitoring and the algorithmic location of leaks under steady and unsteady conditions.”Water supply systems: State-of-the-art and future trends, E. Cabrera and F. Martinez, eds., Computational Mechanics Publ., Bell & Bain Ltd., Glasgow, U.K.
18.
Ormsbee, L. E., and Wood, D. J.(1986a). “Hydraulic design algorithms for pipe networks.”J. Hydr. Engrg., ASCE, 112(12), 1195–1207.
19.
Ormsbee, L. E., and Wood, D. J.(1986b). “Explicit pipe network calibration.”J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 166–182.
20.
Osiadacz, A. J. (1987). Simulation and Analysis of Gas Networks . E & F Spoon Ltd., London, England.
21.
Pudar, R. S., and Liggett, J. A.(1992). “Leaks in pipe networks.”J. Hydr. Engrg., ASCE, 118(7), 1031–1046.
22.
Shamir, U., and Howard, C. D. D.(1968). “Water distribution system analysis.”J. Hydr. Div., ASCE, 94(1), 219–234.
23.
Shamir, U., and Howard, C. D. D. (1970). “Closure to `Water distribution system analysis.”' J. Hydr. Div., ASCE, 96(2), 577–578.
24.
Shamir, U., and Howard, C. D. D.(1977). “Engineering analysis of water distribution systems.”J. Am. Water Works Assoc., 69(9), 510–514.
25.
Sterling, M., and Bargiela, A.(1984). “Leakage reduction by optimised control of valves in water networks.”Trans., Inst. of Measurement and Control, London, England, 6(6), 293–298.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 121 • Issue 5 • May 1995
Pages: 427 - 431
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: May 1, 1995
Published in print: May 1995
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.