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THE EFFECT OF AN ELECTROSTATIC FIELD ON INVISCID LIQUID FLOW DOWN AN INCLINED PLANE
Korean Journal of Chemical Engineering, April 1993, 10(2), 106-111(6), 10.1007/BF02697402
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Abstract
For a study of nonlinear wave motion under an electrostatic field, the Korteweg-deVries （KdV） equation for inviscid liquid film flowing under gravity down an inclined plane has been derived, and the effect of the electric field on the stability of a solitary wave as a solution of the KdV equation is examined. Under a constant electrostatic potential the stability of the wave is not affected. However, with a slowly varying potential it becomes unstable.
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Kim H, Bankoff SG, Miksis MJ, Phys. Fluids A, 4, 2117 (1992)
Kim H, Bankoff SG, Miksis MJ, AIAA J. Propulsion Power, 9, 245 (1993)
Korteweg DJ, deVries G, Philos. Mag., 39, 422 (1895)
Washimi H, Taniuti T, Phys. Rev. Lett., 25, 1108 (1966)
Jeffrey A, Kakutani T, SIAM Rev., 14, 582 (1972)
Miura RM, SIAM Rev., 18, 412 (1976)
Whitham GB, "Linear and Nonlinear Waves," Wiley, New York, NY (1974)
Newell AC, "Solitons in Mathematics and Physics," SIAM, Philadelphia, PA (1985)
Yih CS, Phys. Fluids, 5, 321 (1963)
Benjamin TB, J. Fluid Mech., 2, 554 (1957)
Benjamin TB, Proc. R. Soc. London Ser. A, 328, 153 (1972)
Bona J, Proc. R. Soc. London Ser. A, 344, 363 (1975)
Chu CK, Xiang LW, Baransky Y, Commun. Pure Appl. Math., 36, 495 (1983)
Fornberg B, Whitham GB, Phillos. Trans. Roy London Ser. A, 289, 373 (1978)
