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arXiv physics/0409031physics.flu-dyn
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垂直电场中非欧姆/欧姆流体界面的非线性平面扰动

Non-linear plane perturbation in a non-ohmic/ohmic fluid interface in a vertical electric field

Francisco Vega Reyes

摘要:

研究了在恒定引力场和单极注入的垂直固定电场作用下非欧姆/欧姆流体界面的稳定性,着重研究了电荷弛豫效应可以忽略时,电场压力的失稳作用.我们使用的水力模型,其静力平衡条件被写入和分析作为一个功能的欧姆流体电导率时,受到非线性扰动。本文还分析了极化和自由界面电荷对压力不稳定性机制的共同作用。结果表明,在非欧姆流体中单极注入产生的静态空间电荷分布的存在下,流体界面行为的一些重要特性。

英文摘要:

The stability of a non-ohmic/ohmic fluid interface in the presence of a constant gravitational field and stressed by a vertical stationary electric field with unipolar injection is studied, focusing on the destabilizing action of the electric pressure when charge relaxation effects can be ignored. We use a hydraulic model, whose static equilibrium condition is written and analysed as a function of the ohmic fluid conductivity when subjected to a non-linear perturbation. The combined action of the polarization and free interfacial charges on the pressure instability mechanism is also analysed. The results show some important peculiarities of the fluid interface behaviour in the presence of a stationary space charge distribution generated by unipolar injection in the non-ohmic fluid.

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