DIFFUSION OF SEDIMENT IN LONG CHANNELS

A model is presented, treating the transport of suspended material in a broad channel under simplifying assumptions. The motion of sediment is treated as a diffusion process and a differential equation is derived. The form of an "equilibrium distribution" g(y) is derived, corresponding to the classical distribution of Prandtl and Rouse. Mathematically the following two results are proven: (1) If a stationary (time-dependent) state prevails downstream a certain point P, then the distribution downstream P, tends (with increasing distance to P) exponentially to the "equilibrium distribution"; and (2) if the sediment distribution in the incomming water at a point P is stationary from acertain moment, then the distribution downstream P will tend to the stationary solution exponentially with time. Although these results seem to be physically evident, they have apparently not been proven before. /ASCE/

Media Info

  • Features: Figures; References;
  • Pagination: p. 821-837
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00185369
  • Record Type: Publication
  • Report/Paper Numbers: ASCE 13845
  • Files: TRIS
  • Created Date: Feb 3 1979 12:00AM