caa a22 4500 475775635 CHVBK 20180406123630.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026634017889 doi (NATIONALLICENCE)springer-10.1023/A:1026634017889 Zakhvataev V. Institute of Computational Simulation, Siberian Division, Russian Academy of Sciences, 660036, Krasnoyarsk aut Nonlinear Electrohydrodynamic Stability of a Poiseuille Two-Layer Flow [Elektronische Daten] [V. Zakhvataev] The long-wave stability of the Poiseuille two-layer flow of homogeneous viscous dielectrics between plate electrodes under a constant potential difference is studied in an electrohydrodynamic approximation. A linear asymptotic stability analysis shows that surface polarization forces are a destabilizing factor, in addition to viscous stratification. The method of many scales is used to obtain the Kuramoto—Sivashinsky equation governing the weakly nonlinear evolution of the interface between the dielectrics. Within the framework of the approaches used, it is shown that nonlinear interactions limit perturbation growth and the interface does not fail even for a rather large potential difference. Plenum Publishing Corporation, 2000 Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/6(2000-11-01), 977-981 0021-8944 41:6<977 2000 41 10808 https://doi.org/10.1023/A:1026634017889 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026634017889 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zakhvataev V. Institute of Computational Simulation, Siberian Division, Russian Academy of Sciences, 660036, Krasnoyarsk aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/6(2000-11-01), 977-981 0021-8944 41:6<977 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer