Abstract

We have analyzed nonlinear regimes for a nonuniformly heated low conducting liquid in a horizontal capacitor in the gravity field and in a steady electric field under unipolar injection of a charge from the cathode and heating from above. We have considered a model in which the density of charges injected from the cathode is proportional to the electric field strength in the capacitor. For thermal Rayleigh number Ra = –1000, we have constructed the bifurcation diagram of regimes. We have analyzed various electroconvection regimes (stationary regime as well as the regime of standing and traveling waves). Analyzing the effect of increasing heating from above, we have detected transitions between the regimes: the traveling wave regime changes to the standing wave regime, which is transformed into the regime of a modulated standing wave.

中文翻译：

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稳定电场中单电荷注入下低导电液体的电对流的波动形式

摘要

我们已经对重力场中的水平电容器中的非均匀加热的低导电液体在重力场和稳态电场中的非稳态加热状态进行了非线性分析，该电场是从阴极单向注入电荷并从上方进行加热的。我们考虑了一个模型，其中从阴极注入的电荷密度与电容器中的电场强度成正比。对于热瑞利数Ra = –1000，我们建立了制度的分歧图。我们已经分析了各种电对流形式（固定形式以及驻波和行波形式）。从上方分析增加热量的影响，我们发现了两种状态之间的过渡：行波状态转变为驻波状态，然后转换为调制驻波状态。