Zeeshan Ali Sk, Dey Subhasish
Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, West Bengal, India.
Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, West Bengal, India.
Proc Math Phys Eng Sci. 2019 Mar;475(2223):20180824. doi: 10.1098/rspa.2018.0824. Epub 2019 Mar 13.
Bed particle saltation in turbulent wall-shear flow remains an intriguing phenomenon in applied hydro-dynamics. In this review, we report the current state of the art of bed particle saltation in turbulent wall-shear flow, highlighting the physical characteristics of bed particle saltation and its mathematical modelling. A critical appraisal of the mechanics of bed particle saltation is presented thorough ample experimental evidence. The salient features of bed particle saltation, encompassing the saltation height, saltation length, particle velocity, saltation duration, particle collision with the bed, particle rotation, particle resting time and particle re-entrainment, are thoroughly discussed. Both the deterministic and computational fluid dynamics approaches in modelling bed particle saltation are summarized, and the subtle role of the hydrodynamic forces is elaborated. The estimation of bedload flux in a fluvial environment, emanating from the mathematical modelling of bed particle saltation, is delineated using different modelling approaches. Finally, the challenges in modelling bed particle saltation are highlighted, and a new look at bed particle saltation is furnished.
在湍流壁面剪切流中,床面颗粒跃移仍是应用流体动力学中一个引人入胜的现象。在这篇综述中,我们报告了湍流壁面剪切流中床面颗粒跃移的当前研究现状,重点介绍了床面颗粒跃移的物理特性及其数学建模。通过充分的实验证据,对床面颗粒跃移的力学原理进行了批判性评估。全面讨论了床面颗粒跃移的显著特征,包括跃移高度、跃移长度、颗粒速度、跃移持续时间、颗粒与床面的碰撞、颗粒旋转、颗粒静止时间和颗粒再悬浮。总结了模拟床面颗粒跃移的确定性方法和计算流体动力学方法,并阐述了流体动力的微妙作用。利用不同的建模方法,描述了从床面颗粒跃移的数学建模中得出的河流环境中推移质通量的估计。最后,强调了模拟床面颗粒跃移的挑战,并对床面颗粒跃移进行了新的审视。