线性化重力波中脂冰的有效粘性
Effective viscosity of grease ice in linearized gravity waves
摘要:
脂冰是一种圆盘状冰晶的聚集体,称为冰,形成于极地海洋的湍流水域和河流中。人们已经认识到,脂冰阻尼表面重力波的特性可以用冰浆的有效粘度来解释。本文研究了重力波场中圆盘状颗粒悬浮体的动力学行为。对于稀悬浮液,取决于外部波流的强度和频率,预测的颗粒的两个取向制度:一个优先取向制度的颗粒旋转相干的方式与波场,和一个随机取向制度,其中的颗粒在其初始取向周围振荡,而扩散的影响下的布朗运动。对于这两种运动制度,有效粘度已被推导出作为波的频率,波的振幅和颗粒的纵横比的函数。模型的预测进行了比较,波衰减数据在frazil冰层在波槽中生长。
英文摘要:
Grease ice is an agglomeration of disc-shaped ice crystals, named frazil ice, which forms in turbulent waters of the Polar Oceans and in rivers as well. It has been recognized that the properties of grease ice to damp surface gravity waves could be explained in terms of the effective viscosity of the ice slurry. This paper is devoted to the study of the dynamics of a suspension of disc-shaped particles in a gravity wave field. For dilute suspensions, depending on the strength and frequency of the external wave flow, two orientation regimes of the particles are predicted: a preferential orientation regime with the particles rotating in coherent fashion with the wave field, and a random orientation regime in which the particles oscillate around their initial orientation while diffusing under the effect of Brownian motion. For both motion regimes, the effective viscosity has been derived as a function of the wave frequency, wave amplitude and aspect ratio of the particles. Model predictions have been compared with wave attenuation data in frazil ice layers grown in wave tanks.
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