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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Nonlinear Marangoni instability of a liquid jet in the presence of electric field
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Nonlinear Marangoni instability of a liquid jet in the presence of electric field

机译：电场作用下液体射流的非线性Marangoni不稳定性

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摘要

The work discusses the linear and nonlinear stability of cylindrical surface deformations between two incompressiblefluids. The interface is carrying a uniform surface charge. The inner fluid is assumed to be a liquid jet. Both fluids aremodeled as a special type of a Newtonian viscous fluid. Furthemore, the effect of surface adsorption is taken into account.Both fluids are assumed to be dielectric and the stability is discussed in the presence of a constant electric field in axialdirection. The analysis is performed along the lines of a multiple scale perturbation expansion with additional slow timeand space variables. The various stability criteria are discussed both analytically and numerically. The results are displayedin many plots showing the stability criteria in various parameter planes. The results show the dual role of the electric fieldand the negative rate of change of surface tension with the concentration of surfactant on the system stability, in both thelinear and nonlinear steps. The nonlinear theory, when used to investigate the stability of liquid jet, appears accurately topredict new unstable regions.
机译：这项工作讨论了两个不可压缩流体之间圆柱表面变形的线性和非线性稳定性。该界面带有均匀的表面电荷。假定内部流体是液体射流。两种流体都被建模为牛顿粘性流体的一种特殊类型。此外，考虑了表面吸附的影响。假定这两种流体都是介电的，并且在存在恒定电场的情况下讨论了稳定性。沿着多尺度摄动扩展的路线进行分析，并附加了缓慢的时间和空间变量。各种稳定性标准都在分析和数值上进行了讨论。结果显示在许多图中，显示了在各种参数平面中的稳定性标准。结果表明，在线性和非线性步骤中，电场和表面张力随表面活性剂浓度的负变化率对系统稳定性均具有双重作用。当用于研究液体射流的稳定性时，非线性理论可以准确地预测新的不稳定区域。

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