Hostname: page-component-7dd5485656-pnlb5 Total loading time: 0.001 Render date: 2025-10-31T16:49:17.816Z Has data issue: false hasContentIssue false
  • English
  • Français

Pressure-wave propagation through a separated gas-liquid layer in a duct

Published online by Cambridge University Press:  29 March 2006

Shigeki Morioka  and
Goichi Matsui
Shigeki Morioka
Affiliation:
Faculty of Engineering Science, Osaka University, Japan
Goichi Matsui
Affiliation:
Faculty of Engineering Science, Osaka University, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

Pressure-wave propagation through a separated gas-liquid layer at rest in a duct of constant rectangular cross-section and infinite length is considered. Such a system is dispersive, possessing an infinite number of modes which depend on the ratios of the densities, thicknesses and sound speeds of the two phases. The transitional variation of an infinitesimal disturbance initially having a step profile is investigated analytically and numerically. In addition, it is shown that a weak but finite disturbance is described asymptotically by the solution of the Korteweg-de Vries equation.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 4 , 26 August 1975 , pp. 721 - 731
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Cagniard, L. 1939 Réflections et Réfractions des Ondes Séismiques Progressives; Thèse. Paris: Gauthier-Villars.
Filon, L. N. G. 1928 Proc. Roy. Soc. Edin. 49, 38.
Gardner, C. S. & Morikawa, G. K. 1960 Courant Inst. Math. Sci. Rep. NYO 9082.
Jeffrey, A. & Kakutani, T. 1972 SIAM Rev. 14, 582.
Leibovich, S. & Seebass, A. R. (ed.) 1974 Nonlinear Waves. Cornell University Press.
Matsui, G. & Morioka, S. 1974 J. Phys. Soc. Japan, 36, 282.
Morioka, S. & Matsui, G. 1973 J. Phys. Soc. Japan, 35, 1218.
Rudinger, G. 1969 Nonequilibrium Flows (ed. P. P. Wegner), vol. 1, part 1. Marcel Dekker.
Taniuti, T. & Wei, C. C. 1968 J. Phys. Soc. Japan, 24, 941.
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 996.
Wijngaarden, L. Van 1968 J. Fluid Mech. 33, 465.
Wijngaarden, L. Van 1972 Ann. Rev. Fluid Mech. 4, 369.