摘要The wave motion on the charged surface of a viscous Newtonian liquid is solved as an initial-value problem. Both the leaky dielectric and perfect dielectric cases are considered. The amplitude of wave is assumed to be small. The electric field induced by surface charge is shown to have a generally destabilizing effect on surface wave. The neutral stability curve is drawn in the (G, Ne) plane (G: the gravitational bond number; Ne: the electrical Bond number). The Ohnesorge number, Taylor--Melcher number and permittivity ratio have little influence on the neutral stability curve. It is testified that the classical normal mode method cannot predict wave behaviour at small times.
Abstract：The wave motion on the charged surface of a viscous Newtonian liquid is solved as an initial-value problem. Both the leaky dielectric and perfect dielectric cases are considered. The amplitude of wave is assumed to be small. The electric field induced by surface charge is shown to have a generally destabilizing effect on surface wave. The neutral stability curve is drawn in the (G, Ne) plane (G: the gravitational bond number; Ne: the electrical Bond number). The Ohnesorge number, Taylor--Melcher number and permittivity ratio have little influence on the neutral stability curve. It is testified that the classical normal mode method cannot predict wave behaviour at small times.
YAN Yong-Li;LI Bo;LIU Kang-Jun;DONG Zhi-Wei;MA Guo-Hong;WANG Xiao-Mei;QIAN Shi-Xiong. Two-Photon Absorption and Excited State Dynamics of Two Organic Molecules Containing Donor/Acceptor Moieties[J]. 中国物理快报, 2008, 25(7): 2456-2459.
YAN Yong-Li, LI Bo, LIU Kang-Jun, DONG Zhi-Wei, MA Guo-Hong, WANG Xiao-Mei, QIAN Shi-Xiong. Two-Photon Absorption and Excited State Dynamics of Two Organic Molecules Containing Donor/Acceptor Moieties. Chin. Phys. Lett., 2008, 25(7): 2456-2459.
2008, Vol. 25 
