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Electrohydrodynamic stability of a fluid layer

I.-Effect of a Tangential field

  • Published:
Il Nuovo Cimento D

Summary

The electrohydrodynamic stability of a fluid layer bounded from above and below by two different fluids is studied. The dielectric fluids are stressed by gravity force and tangential electric field. It is shown that the two interfaces are governed by two simultaneous second-order differential equations. Stability conditions for the interfaces are obtained. The tangential field plays a stabilizing role and can be used to suppress the instability of the system at a given wave number. Some special cases are also discussed.

Riassunto

Si studia la stabilità elettrodinamica di uno strato di fluido limitato dall'alto e dal basso da due fluidi diversi. I fluidi dielettrici sono evidenziati dalla forza di gravità e dal campo elettrico tangente. Si mostra che le due interfaccie sono regolate da due equazioni differenziali simultanee di second'ordine. Si ottengono condizioni di stabilità per le interfacce. Il campo tangente svolge un ruolo stabilizzante e può essere usato per sopprimere l'instabilità del sistema ad un definito numero d'onde. Si discutono anche alcuni casi speciali.

Резюме

Исследуется электрогидродинамическая устойчивость слоя жидкости, расположенного между двумя различными жидкостями. Диэлектрические жидкости подвергаются действию гравитационной силы и тангенциального электрического поля. Показывается, что две границы раздела определяются двумя совместными дифференциальными уравнениями второго порядка. Получаются условия устойчивости границ. Тангенциальное поле играет стабилизируюшую роль и может быть использовано для подавления неустойчивости системы при заданном волновом числе. Также обсуждаются некоторые специальные случаи.

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Author notes

  1. Abou El Magd A. Mohamed

    Present address: Department of Mathematics, Faculty of Science, University of Qatar, P.O.Box 2713, Doha, Qatar

Authors and Affiliations

  1. Department of Mathematica, Faculty of Education, Ain Shams University Heliopolis, Cairo, Egypt

    Sayed F. El Shehawey, Yusry O. El Dib & Abou El Magd A. Mohamed

Authors
  1. Sayed F. El Shehawey
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  2. Yusry O. El Dib
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  3. Abou El Magd A. Mohamed
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El Shehawey, S.F., El Dib, Y.O. & Mohamed, A.E.M.A. Electrohydrodynamic stability of a fluid layer. Il Nuovo Cimento D 6, 291–308 (1985). https://doi.org/10.1007/BF02450689

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  • DOI: https://doi.org/10.1007/BF02450689

PACS. 68.10

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