Calibration of Shiono and Knight Model to Estimate Shear Stress for Trapezoidal Channel

Document Type : Research Paper



Aim of this study is to calibrate Shiono and Knight model for better determination of shear and velocity distribution in trapezoidal open channels. To do this, correct estimation of friction factor (f), secondary current (Γ), and eddy viscosity (λ) is proposed as key affecting parameters. Available data in literature are used to optimize these three parameters. Using channel aspect ratio Pb/Pw, the channel subsections are selected. Non-dominated Sorting Genetic Algorithm is used to optimize the parameters and estimate shear and velocity distribution for each subsection. Results reveal that effects of friction factor and eddy viscosity are significant for aspect ratios of less than 2 and 6, respectively. Rate of change of the parameters with the aspect ratio show a considerable increase for aspect ratios of less than 4. In oppose to the literature for suggestion of a constant eddy viscosity of 0.67, calibration of the Shiono and Knight model in this study showed a variable eddy viscosity for variable flow conditions. Comparison of the model and experimental results confirms correct estimation of the aforementioned parameters.


Volume 38, Issue 4 - Serial Number 4
February 2016
Pages 189-201
  • Receive Date: 07 June 2014
  • Revise Date: 09 February 2016
  • Accept Date: 18 March 2015
  • First Publish Date: 21 January 2016