Exact procedure for Einstein-Johnson's sidewall correction in open channel flow

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8 Scopus citations


The classic sidewall correction procedure, Vanoni and Brooks' method, originates from Einstein-Johnson's work. However, Johnson's contribution is almost unseen in recent literature because his friction equation for the sidewall flow is difficult to solve. This note then revisits Einstein-Johnson's sidewall correction procedure and solves Johnson's friction equation explicitly and exactly. Besides, it extends Einstein-Johnson's procedure to transitional-, and rough-sidewall turbulent flows. The presented exact procedure facilitates Einstein-Johnson's sidewall correction for applications in flume experiments and sediment transport analysis in narrow canals, streams, and rivers.

Original languageEnglish (US)
Article number06016027
JournalJournal of Hydraulic Engineering
Issue number4
StatePublished - Apr 1 2017


  • Flume experiments
  • Friction factor
  • Lambert function
  • Open channel flow
  • Shear stress
  • Sidewall correction

ASJC Scopus subject areas

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

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