Summary
The electrohydrodynamic Kelvin-Helmholtz instability conditions of two horizontal interfaces separating three dielectric streaming fluids stressed by a tangential electric field on the interfaces are investigated. The analysis will be based on the linear perturbation theory and Hurwitz’ theorem. The necessary and sufficient conditions of the perturbed system are discussed analytically.
Riassunto
Si ricercano le condizioni di instabilità di Kelvin-Helmholtz elettroidrodinamiche di due interfacce orizzontali che separano tre fluidi dielettrici che scorrono uno sull'altro sollecitati da un campo elettrico tangenziale sulle interfacce. L’analisi sarà basata sulla teoria della perturbazione lineare e sul teorema di Hurwitz. Si discutono analiticamente le condizioni necessarie e sufficienti del sistema perturbato.
Резюме
Исследуются условия электродинамической неустойчивости Кельвина-Гельмгольца для двух горизонтальных границ раздела, разделяющих три диэлектрических текущих жидкости, на которые действует тангенциальное электрическое поле на границах раздела. Предложенный анализ базируется на линейной теории возмущений и теореме Гурвитца. Аналитически обсуждаются необходимые и достаточные условия для возмущений системы.
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Elshehawey, E.F., Mahmoud, Y.D. Electrohydrodynamic Kelvin-Helmholtz instability conditions for two horizontal interfaces. Effect of a tangential field. Nuovo Cim B 105, 121–130 (1990). https://doi.org/10.1007/BF02723073
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DOI: https://doi.org/10.1007/BF02723073