Abstract
A double fluid model for a liquid jet surrounded by a coaxial gas stream was constructed. The interfacial stability of the model was studied by Chebyshev pseudospectral method for different basic velocity profiles. The physical variables were mapped into computational space using a nonlinear coordinates transformation. The general eigenvalues of the dispersion relation obtained are solved by QZ method, and the basic characteristics and their dependence on the flow parameters are analyzed.
Similar content being viewed by others
References
Plateau J. Statique experimentale et theorique des liquids soumle sux seule forces[J].Moleculaire Gauthier Villars, 1873,1(1):2–10.
Reynolds A J. Observation of a liquid-into-liquid jet[J].J Fluid Mechanics, 196214:552–556.
Chandrasekhar S.Hydrodynamic and Hydromagnetic Stability[M]. Oxford England: Oxford University Press, 1961.
Taylor G I.Generation of Ripples by Wind Blowing Over Viscous Fluid[M]. the Scientific Papers of G I Taylor. Cambridge England: Cambridge University Press, 1965.
Shen J, Li X. Instability of cylindrical compressible gas jets in viscous liquid streams[J].Acta Mechanica, 1998,130(1/2):95–110.
Lin S P, Lian Z W. Absolute instability of a liquid jet in a gas[J].Physics of Fluids A, 1989,1(3):490–493.
Zhou Z W, Lin S P. Absolute and convective instability of a compressible jet[J].Physics of Fluids A, 1992,4(1):277–282.
Sevilla A, Gordillo J M. The effect of the diameter ratio on the absolute and convective instability of free coflowing jets[J].Physics of Fluids, 2002,14(9):3028–3038.
Lin S P, Chen J N. Role played by the interfacial shear in the instability mechanism of a viscous liquid jet surrounded by a viscous gas in a pipe[J].J Fluid Mechanics, 1998,376:37–51.
Boyd J P.Chebyshev and Fourier Spectral Method[M]. Germany: Springer-Verlag, 1989.
SU Hai-rong. Pseudospectral analysis of the interfacial stability of free jets[D]. Master Thesis. Shanghai: Shanghai University, 2003. (in Chinese)
Author information
Authors and Affiliations
Additional information
Contributed by Zhou Zhe-wei
Foundation items: the National Natural Science Foundation of China (50371049); Shanghai Foundation of Ph. D Program; Shanghai Foundation of Key Project Program
Biographies: Su Hai-rong (1975 ≈); Zhou Zhe-wei (1950 ≈)
Rights and permissions
About this article
Cite this article
Hai-rong, S., Guo-hui, H. & Zhe-wei, Z. Pseudospectral analysis of the interfacial stability of free jets with different velocity profiles. Appl Math Mech 25, 1323–1332 (2004). https://doi.org/10.1007/BF02438289
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02438289