GRAPH-THEORETICAL MODEL FOR SLOW TRANSIENT ANALYSIS OF PIPE NETWORKS

Research is reported which accomplished the following: developed an incidence method for slow transient analysis; discussed numerical methods for integrating stiff ordinary differential equations (ODE), where initial value problems with strongly decreasing and increasing solution components are classified as stiff problems; proposed a technique for adjusting flow rates in pipes to satisfy mass continuity, since application of a rigid model theory violates mass continuity at nodes; and compared numerical results for slow and rapid transients predicted from either rigid or elastic water column models. It was found that a new method (incidence method) for analyzing slow transients in complicated and large-scale pipelines can be formulated in graph-theoretical framework using incidence matrices, and that the incidence method is superior to the loop method for analyzing slow transients in terms of addressing full valve-closure problems. Other findings of the study are also discussed.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/8672558
• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Shimadam, M
• Publication Date: 1989-9

Media Info

• Features: Appendices; Figures; References; Tables;
• Pagination: p. 1165-83
• Serial:
  • Journal of Hydraulic Engineering
  • Volume: 115
  • Issue Number: 9
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9429
  • Serial URL: https://ascelibrary.org/journal/jhend8

Subject/Index Terms

• TRT Terms: Differential equations; Flow; Graphics; Machine valves; Mathematical models; Network analysis (Planning); Pipe
• Uncontrolled Terms: Flow rate; Graphical analysis; Models
• Old TRIS Terms: Incidence matrices
• Subject Areas: Highways; Hydraulics and Hydrology; I26: Water Run-off - Freeze-thaw;

Filing Info

• Accession Number: 00488820
• Record Type: Publication
• Files: TRIS
• Created Date: Oct 31 1989 12:00AM