CHEBYSHEV SOLUTION AS AID IN COMPUTING GVF BY STANDARD STEP METHOD. TECHNICAL NOTE

The standard step method is commonly used to compute free surface profiles in gradually varied flow (GVF) through open channels. In this study, generalized numerical solutions in the Chebyshev form are presented for the standard step method to compute the free surface profiles in GVF without using look-up tables, interpolation procedures, or simplified assumptions concerning the cross-section geometry. The solutions are obtained using the flow resistance equations of Manning, Chezy, and Colebrook-White. The necessary parameters of some particular cases, namely rectangular, triangular, trapezoidal, circular, and exponential channels, are furnished. The use of the Chebyshev approximation has the advantage of requiring less iteration than the Newton-Raphson approximation.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339437
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Dey, S
• Publication Date: 2000-7

Language

• English

Media Info

• Features: Appendices; References; Tables;
• Pagination: p. 271-274
• Serial:
  • Journal of Irrigation and Drainage Engineering
  • Volume: 126
  • Issue Number: 4
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9437
  • Serial URL: https://ascelibrary.org/journal/jidedh

Subject/Index Terms

• TRT Terms: Approximation (Mathematics); Channel flow; Flow resistance; Free surface; Iterative methods; Mathematical models; Nonuniform flow; Open channels; Subsonic flow; Supersonic flow
• Subject Areas: Highways; Hydraulics and Hydrology; I26: Water Run-off - Freeze-thaw;

Filing Info

• Accession Number: 00795780
• Record Type: Publication
• Files: TRIS
• Created Date: Jul 31 2000 12:00AM