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Difference Formulation and Slope Invariance in Spatially Varied Free Surface Flow

[+] Author Affiliations
S. David Graber

Consulting Engineer, Stoughton, MA

Paper No. HT-FED2004-56069, pp. 839-843; 5 pages
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 1
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4690-3 | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME


The relationship for combined increasing and decreasing free surface flow is presented in difference form, and then particularized to spatially increasing and spatially decreasing flows. For spatially decreasing flow, a theoretical difference is noted between the writer’s version and that in a widely-used reference source. By investigating an application for uniformly decreasing, full-pipe flow, it is shown by physical reasoning and comparison of an available analytical solution to the alternate versions of the difference relationship that the writer’s difference relationship is the correct one. Free surface spatially varied flow relationships are specialized to pressure conduits to demonstrate conditions of slope invariance, which has important and somewhat counter-intuitive ramifications for certain practical applications encountered in environmental engineering.

Copyright © 2004 by ASME
Topics: Flow (Dynamics)



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