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首页> 外文期刊>American journal of fluid dynamics >The Problem of Adequate Mathematical Modeling for Liquids Fluidity
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The Problem of Adequate Mathematical Modeling for Liquids Fluidity

机译：液体流动性的充分数学建模问题

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In the present paper the problem of the mathematical description adequacy of the liquids fluidity physical property using the example of the linear stability problem for the steady-state spatial flows of an ideal incompressible fluid that is completely filling a volume with a solid boundary, in the absence of body forces has been studied. The direct Lyapunov method proves that the fluid is absolutely stable at the rest states, and its steady-state three-dimensional flows are unstable when related to small spatial perturbations. We have obtained constructive sufficient conditions for the practical linear instability. A priori exponential lower estimate has been constructed, indicating the accumulation of small three-dimensional perturbations with time. As an illustration, steady-state plane-parallel shear flows in the channel have been considered.
机译：在本文中，以线性稳定性问题为例，以理想的不可压缩流体的稳态空间流的线性稳定性问题为例，对数学上的液体流动性物理性质进行充分描述，该理想不可压缩流体完全填充了具有固体边界的体积。已经研究了没有身体力量的情况。直接的Lyapunov方法证明了流体在静止状态下绝对稳定，并且当与较小的空间扰动有关时，其稳态三维流动是不稳定的。我们已经为实际的线性不稳定性获得了建设性的充分条件。先验指数较低的估计已被构建，表明小的三维扰动随时间的积累。作为说明，已经考虑了通道中的稳态平面平行剪切流。

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