END DEPTH UNDER ZERO-INERTIA CONDITIONS

The terminal depth and velocity conditions for flow in an open channel ending in a free overfall are investigated under the assumption that inertial effects are everywhere negligible. When inertial terms are retained, as in the Saint-Venant or varied-flow equations, these terminal conditions are both at critical. When not only the inertial terms but the depth-gradient term too is dropped, depth and velocity at the brink of the overfall are at normal. Under the zero-inertia assumption, end depth is found to be zero and the velocity correspondingly infinite. This notion is tested in a series of steady-flow comparisons with results obtained from the varied-flow comparisons with results obtained from the varied-flow equation. The results of the zero-inertia assumption lie close to those of the varied-flow equation, when the flow conditions are characterized by low Froude numbers. In application to the problem of discharge from a lake into a channel ending in an overfall, the traditional trial-and-error solution is replaced by a new direct solution read off from a graph. /Author/

• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Strelkoff, T
  • Katopodes, N
• Publication Date: 1977-7

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 699-711
• Serial:
  • Journal of the Hydraulics Division
  • Volume: 103
  • Issue Number: HNY7
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Channel flow; Depth; Flow; Graphite; Highway grades; Inertia (Mechanics); Mathematical models; Slopes; Velocity
• Uncontrolled Terms: Open channel flow; Steady flow
• Old TRIS Terms: Channels; Discharge
• Subject Areas: Highways; Hydraulics and Hydrology;

Filing Info

• Accession Number: 00165358
• Record Type: Publication
• Report/Paper Numbers: ASCE 13053 Proceeding
• Files: TRIS
• Created Date: Mar 7 1978 12:00AM