Stressed horizontal convection
Stressed horizontal convection
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受力水平对流
DOI：
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发表时间：
2012
影响因子：
3.7
通讯作者：
W. Young
中科院分区：
文献类型：
--
作者：
J. Hazewinkel;F. Paparella;W. Young
摘要 我们考虑在顶面施加不均匀温度和应力来强制布辛涅斯克流体的问题。在其他边界上，条件是隔热的并且防滑或无应力。有趣的情况是当稳定施加的表面应力的方向与浮力驱动流的方向相反时。我们获得了二维数值解，显示了一种状态，其中存在具有热间接循环的上部单元（浮力流体被施加的应力向下推动并且重流体被升高），以及具有热直接循环的第二个深层单元。在这种双细胞状态下，驱动机制是竞争性的，因为两者都不主导流动。缩放论证表明，这种平衡要求表面应力随着水平瑞利数的五分之三次方而变化。
Abstract We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.