Resonant transcritical flow over a wavy bed
โ Scribed by Yinglong Zhang; Song-Ping Zhu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 562 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0165-2125
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โฆ Synopsis
Near-resonant free-surface flows over a wavy bed of either finite or semi-infinite extent are considered. For a bed of finiteextent wavy profile of a small amplitude, it is shown that the linear model is valid and a steady state exists even within the resonant regime, with an "upstream influence". If the bed extends semi-infinitely to far downstream, the linear model breaks down in the near field, where the motion is governed by a series of forced KdV equations, which are matched to the far-field linear solutions.
๐ SIMILAR VOLUMES
Measurements of the spatial and time variation of two components of the velocity have been made over a sinusoidal solid wavy boundary with a height to length ratio of 2a/2 = 0.10 and with a dimensionless wave number of ~ + =
adopts a gradient-diffusion form for Z, whilst Bradshaw et al. (1967) argue against such a form; however, the modifications of the present (Z = 0) results implied by either Townsend's Z or that of Bradshaw et al. are relatively small.