Lateral controls on grounding-line dynamics
Lateral controls on grounding-line dynamics
复制标题
接地线动力学的横向控制
DOI：
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复制
发表时间：
2013
影响因子：
3.7
通讯作者：
M. Worster
中科院分区：
文献类型：
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作者：
S. Pegler;K. Kowal;Leonard Hasenclever;M. Worster
本文对垂直Hele-Shaw槽内较稠密的有限深度无粘流体层表面引入的粘性重力流进行了理论和实验研究。最初，粘性流体漂浮在无粘性流体上，形成一种自相似的浮力驱动电流，主要受横跨电池宽度的剪切所产生的粘性应力的抵抗。一旦粘性电流接触电池的底部，可以考虑两个区域的流动：接地区域，其中的电流与底部完全接触；以及浮动区域。分离这些区域的接地线的后续推进被证明是由与平衡局部剪应力相关的电流的增厚所控制的。通过对基于润滑理论的模型的渐近分析和数值分析，发展了对流动转变的理解。
Abstract We present a theoretical and experimental study of viscous gravity currents introduced at the surface of a denser inviscid fluid layer of finite depth inside a vertical Hele-Shaw cell. Initially, the viscous fluid floats on the inviscid fluid, forming a self-similar, buoyancy-driven current resisted predominantly by the viscous stresses due to shear across the width of the cell. Once the viscous current contacts the base of the cell, the flow can be considered in two regions: a grounded region in which the current lies in full contact with the base; and a floating region. The subsequent advance of the grounding line separating these regions is shown to be controlled by the thickening of the current associated with balancing the local shear stresses. An understanding of the flow transitions is developed using asymptotic and numerical analysis of a model based on lubrication theory.