Nonlinear instabilities in superposed fluids in the presence of adsorption

作者: Gurpreet K. Gill , S.K. Trehan

DOI: 10.1016/0020-7225(95)00085-2

关键词: Nonlinear stabilityFlory–Huggins solution theorySurface (mathematics)Rayleigh–Taylor instabilityStability (probability)AdsorptionCompressibilityMaterials scienceNonlinear systemThermodynamics

摘要: Nonlinear stability of superposed fluids is discussed here taking into account the effect surface adsorption. In linear analysis, adsorption has increasing region stability; much larger in Rayleigh-Taylor case compared to that Kelvin-Helmholtz case. nonlinear we find interaction parameter Q thereby stability.

参考文章(9)
Abdel Raouf F. Elhefnawy, Kelvin-Helmholtz instability in magnetic fluids with surface adsorption : linear and nonlinear theory International Journal of Engineering Science. ,vol. 30, pp. 1703- 1714 ,(1992) , 10.1016/0020-7225(92)90089-Y
R. Kant, S. K. Malik, Nonlinear waves in superposed fluids Astrophysics and Space Science. ,vol. 86, pp. 345- 360 ,(1982) , 10.1007/BF00683341
Isamu Nakata, Effect of Aligned Magnetic Field on the Non-Linear Kelvin-Helmholtz Instability Journal of the Physical Society of Japan. ,vol. 37, pp. 1136- 1144 ,(1974) , 10.1143/JPSJ.37.1136
Subrahmanyan Chandrasekhar, Hydrodynamic and Hydromagnetic Stability ,(1961)
Takuji Kawahara, Nobumasa Sugimoto, Tsunehiko Kakutani, Nonlinear Interaction between Short and Long Capillary-Gravity Waves Journal of the Physical Society of Japan. ,vol. 39, pp. 1379- 1386 ,(1975) , 10.1143/JPSJ.39.1379
Ali Hasan Nayfeh, William S. Saric, Non-linear Kelvin–Helmholtz instability Journal of Fluid Mechanics. ,vol. 46, pp. 209- 231 ,(1971) , 10.1017/S0022112071000491
P. G. Drazin, Kelvin–Helmholtz instability of finite amplitude Journal of Fluid Mechanics. ,vol. 42, pp. 321- 335 ,(1970) , 10.1017/S0022112070001295
F. H. Berkshire, J. D. Gibbon, Collapse in the n‐Dimensional Nonlinear Schrödinger Equation—A Parallel with Sundman's Studies in Applied Mathematics. ,vol. 69, pp. 229- 262 ,(1983) , 10.1002/SAPM1983693229
MA Weissman, Nonlinear wave packets in the Kelvin-Helmholtz instability Philosophical Transactions of the Royal Society A. ,vol. 290, pp. 639- 681 ,(1979) , 10.1098/RSTA.1979.0019