Meander bends of high amplitude

Gary Parker, Panayiotis Diplas, Juichiro Akiyama

Research output: Contribution to journalArticlepeer-review


Meander bends of high amplitude in alluvial rivers often display a high degree of coherency. The only analytical equation heretofore available to describe such bends is the sine-generated curve, which has no rigorous derivation in the context of rivers. Herein a nonlinear “bend equation,” based on a dynamical description of flow in bends and a kinematical description of bank erosion, is used to describe channel migration. This equation admits solutions of constant amplitude that migrate downstream with constant speed. The solution at high amplitude displays a prominent skewing that reveals the direction of flow. At low amplitude, the solution reduces to the sine-generated curve.

Original languageEnglish (US)
Pages (from-to)1323-1337
Number of pages15
JournalJournal of Hydraulic Engineering
Issue number10
StatePublished - Oct 1983
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology
  • Mechanical Engineering


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