Issue
Korean Journal of Chemical Engineering,
Vol.10, No.2, 106-111, 1993
THE EFFECT OF AN ELECTROSTATIC FIELD ON INVISCID LIQUID FLOW DOWN AN INCLINED PLANE
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.
[References]
  1. Rovang RD, Dirling RB, Holzl RA, Proc. Eighth Symp. on Space Nuclear Power Systems, Albuquerque, NM, CONF-910116, 702, 1991
  2. Al-Baroudi H, Klein AC, Pauley K, Proc. Eighth Symp. on Space Nuclear Power Systems, Albuquerque, NM, CONF-910116, 723, 1991
  3. Kim H, Miksis MJ, Bankoff SG, Proc. Eighth Symp. on Space Nuclear Power Systems, Albuquerque, NM, CONF-910116, 1280, 1991
  4. Kim H, Bankoff SG, Miksis MJ, Phys. Fluids A, 4, 2117, 1992
  5. Kim H, Bankoff SG, Miksis MJ, AIAA J. Propulsion Power, 9, 245, 1993
  6. Korteweg DJ, deVries G, Philos. Mag., 39, 422, 1895
  7. Washimi H, Taniuti T, Phys. Rev. Lett., 25, 1108, 1966
  8. Jeffrey A, Kakutani T, SIAM Rev., 14, 582, 1972
  9. Miura RM, SIAM Rev., 18, 412, 1976
  10. Whitham GB, "Linear and Nonlinear Waves," Wiley, New York, NY, 1974
  11. Newell AC, "Solitons in Mathematics and Physics," SIAM, Philadelphia, PA, 1985
  12. Yih CS, Phys. Fluids, 5, 321, 1963
  13. Benjamin TB, J. Fluid Mech., 2, 554, 1957
  14. Benjamin TB, Proc. R. Soc. London Ser. A, 328, 153, 1972
  15. Bona J, Proc. R. Soc. London Ser. A, 344, 363, 1975
  16. Chu CK, Xiang LW, Baransky Y, Commun. Pure Appl. Math., 36, 495, 1983
  17. Fornberg B, Whitham GB, Phillos. Trans. Roy London Ser. A, 289, 373, 1978