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Free Surface Shear Flow Over a Wavy Bed
An analytical treatment of free surface shear flow over a wavy bed of regular sinusoidal form is developed from the one-dimensional energy equation. The effects of curvilinearity on the velocity and piezometric heads are examined in some detail. The equation is expanded into a series in dimensionless terms to obtain a systematic ordering of the magnitudes of the various terms and associated physical quantities. The third-order equation is linearized and solved to obtain expressions for the phase shift between and amplitude ratio of the bed waves and depth variations. The second-order nonlinear equation is solved numerically for a particular flow, and the profiles are presented graphically. The various flow configurations predicted by the linearized and the nonlinear formulations are discussed in some detail and the occurrence of a bi-stable flow of moderate and high Froude numbers is explained.
Free Surface Shear Flow Over a Wavy Bed
An analytical treatment of free surface shear flow over a wavy bed of regular sinusoidal form is developed from the one-dimensional energy equation. The effects of curvilinearity on the velocity and piezometric heads are examined in some detail. The equation is expanded into a series in dimensionless terms to obtain a systematic ordering of the magnitudes of the various terms and associated physical quantities. The third-order equation is linearized and solved to obtain expressions for the phase shift between and amplitude ratio of the bed waves and depth variations. The second-order nonlinear equation is solved numerically for a particular flow, and the profiles are presented graphically. The various flow configurations predicted by the linearized and the nonlinear formulations are discussed in some detail and the occurrence of a bi-stable flow of moderate and high Froude numbers is explained.
Free Surface Shear Flow Over a Wavy Bed
Iwasa, Yoshiaki (author) / Kennedy, John F. (author)
Journal of the Hydraulics Division ; 94 ; 431-454
2021-01-01
241968-01-01 pages
Article (Journal)
Electronic Resource
Unknown
Free surface shear flow over wavy bed
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Discussion of “Free Surface Shear Flow Over a Wavy Bed”
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Discussion of “Free Surface Shear Flow Over a Wavy Bed”
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Closure to “Free Surface Shear Flow Over a Wavy Bed”
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