ELECTROCONVECTION INSTABILITY OF POORLY CONDUCTING FLUID IN ALTERNATING ELECTRIC FIELD

IF 0.7 Q4 THERMODYNAMICS

Interfacial Phenomena and Heat Transfer Pub Date : 2019-01-01 DOI:10.1615/interfacphenomheattransfer.2019030611

O. Nekrasov, N. Kartavykh

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Abstract

The flat horizontal layer of the poorly conducting fluid is placed in the alternating electric field and heated from above. Its behavior is investigated in the electroconvection low-mode model. The approximation in which density and conductivity of the fluid are linearly dependent on temperature is used. Linear instability is analyzed by means of the Floquet theory. The system of eight differential equations, which describe the motion of the fluid, is integrated using the Runge-Kutta-Merson fourth-order method. The marginal stability curves are plotted in coordinates “wave number – nondimensional electric parameter.” The critical values of the wave number and the nondimensional electric parameter are determined for various external influence frequencies. The nonlinear regimes of the fluid flow are investigated at the critical value of the wave number. The fluid electroconvection flow intensity as a function of the nondimensional electric parameter is plotted. The various types of the oscillation regimes are discovered, and the competition regions of different electroconvection modes with various flow intensities are found.

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交变电场中低导电性流体的电对流不稳定性

将导电性差的流体的平坦水平层置于交变电场中并从上方加热。在电对流低模模型中研究了其特性。采用流体的密度和电导率与温度呈线性关系的近似方法。利用Floquet理论分析了系统的线性不稳定性。用龙格-库塔-默逊四阶方法对描述流体运动的八个微分方程系统进行积分。边际稳定性曲线在坐标“波数-无量纲电参数”中绘制。在不同的外部影响频率下，确定了波数和无因次电参数的临界值。研究了在波数临界值处流体流动的非线性形式。绘制了流体电对流流动强度随无因次电参数的变化曲线。发现了不同类型的振荡区，以及不同流强下不同电对流模式的竞争区。

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来源期刊

Interfacial Phenomena and Heat Transfer THERMODYNAMICS-

CiteScore

1.70

自引率

40.00%

发文量

期刊介绍： Interfacial Phenomena and Heat Transfer aims to serve as a forum to advance understanding of fundamental and applied areas on interfacial phenomena, fluid flow, and heat transfer through interdisciplinary research. The special feature of the Journal is to highlight multi-scale phenomena involved in physical and/or chemical behaviors in the context of both classical and new unsolved problems of thermal physics, fluid mechanics, and interfacial phenomena. This goal is fulfilled by publishing novel research on experimental, theoretical and computational methods, assigning priority to comprehensive works covering at least two of the above three approaches. The scope of the Journal covers interdisciplinary areas of physics of fluids, heat and mass transfer, physical chemistry and engineering in macro-, meso-, micro-, and nano-scale. As such review papers, full-length articles and short communications are sought on the following areas: intense heat and mass transfer systems; flows in channels and complex fluid systems; physics of contact line, wetting and thermocapillary flows; instabilities and flow patterns; two-phase systems behavior including films, drops, rivulets, spray, jets, and bubbles; phase change phenomena such as boiling, evaporation, condensation and solidification; multi-scaled textured, soft or heterogeneous surfaces; and gravity dependent phenomena, e.g. processes in micro- and hyper-gravity. The Journal may also consider significant contributions related to the development of innovative experimental techniques, and instrumentation demonstrating advancement of science in the focus areas of this journal.