The proposed method of solution is manifested by application to an example, the potential flow over a smooth step in an open channel. A detailed description of the flow is given by a pair of integro-differential equations in the free- surface and solid-boundary elevations, derived from the solution of a boundary-value problem of the Dlrichlet type in an infinite strip in the complex potential plane. The use of numerical approximations to both the derivatives and integrals in the integrodifferential equations leads to a system of simultaneous nonlinear algebraic equations, and this is then solved by a special method of successive approximation. Solutions are obtained for the approach Froude number, F = 0.4 and 1.7. The computed output consists of the geometry of the free surface, the flow net within, and velocity components and pressure at any point in the flow. /AUTHOR/

Media Info

  • Features: Appendices; Figures; References;
  • Pagination: p. 2217-32
  • Serial:

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Filing Info

  • Accession Number: 00263139
  • Record Type: Publication
  • Report/Paper Numbers: Proc Paper 10194
  • Files: TRIS
  • Created Date: Nov 12 1974 12:00AM