流体动力差速旋转的粘滞稳定性判据

Zinab M. Maatoug, Hana N. Albibas, Bashir W. Sharif, A. M. Awin
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引用次数: 0

摘要

研究了旋转球面上薄层的粘滞稳定性判据。1981年,沃森解释了流体无粘性的情况,这项工作的动机是德拉津和里德在他们著名的著作《流体动力学稳定性》中提出的想法;本文对Sherif和Jones在2005年提出的模型进行了研究,并给出了不稳定的必要条件,该条件取决于流体在球形薄层中的剪切运动所提供的能量。
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Viscous Stability Criterion for Hydrodynamic Differential Rotation
Viscous stability criterion in a thin layer on a rotating sphere is studied. The case when the fluid is inviscid was explained by Watson in 1981, the work was motivated by the idea suggested by Drazin and Ried in their celebrated text "Hydrodynamic Stability"; here  we will investigate the model worked out by B. Sherif and C. Jones in the year 2005, and show the necessary condition for instability which depends on the energy that is provided by the shear motion of the fluid in spherical thin layer. 
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