Applied Mathematics and Mechanics >
Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures
Received date: 2017-07-01
Revised date: 2017-11-05
Online published: 2018-05-01
Bed morphology is the result of a dynamic response to a complex meandering river system. It is an important factor for the further development of river. Based on the meandering river characterized by a large depth-to-width ratio, a theoretical model is established with the coupling of Navier-Stokes (N-S), sediment transport, and bed deformation equations. The flow characteristics and bed response of river are obtained with the perturbation method. The research results show that, under the effect of twodimensional flow disturbance, the bars and pools present the regular response. For a given sinuousness, the amplitude of the bed response can be used as a criterion to judge the bedform stability. The effects of the Reynolds number, disturbance wavenumber, sinuousness, and bed morphology gradient on the bed response development are described.
Shuxian GAO, Haijue XU, Yuchuan BAI . Theoretical analyses on bed topography responses in large depth-to-width ratio river bends with constant curvatures[J]. Applied Mathematics and Mechanics, 2018 , 39(5) : 747 -766 . DOI: 10.1007/s10483-018-2324-6
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