Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T01:04:28.022Z Has data issue: false hasContentIssue false

Unsteady evolution of a horizontal jet in a stratified fluid

Published online by Cambridge University Press:  11 April 2006

R. Peyret
Affiliation:
Laboratoire de Mécanique Théorique associé au C.N.R.S., Université Pierre et Marie Curie, Place Jussieu, 75005 Paris, France

Abstract

The unsteady laminar flow due to the penetration of a horizontal jet of constant density into a stratified fluid is considered. A numerical solution of the Navier–Stokes equations under the Boussinesq approximation is obtained by means of an implicit finite-difference method. Results for different values of the Reynolds and internal Froude numbers are given and discussed.

Type
Research Article
Copyright
© 1976 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.)

References

Begis, D. 1972 Thèse de 3ème Cycle, Analyse Numérique, Université Paris VI.
Beavers, G. S. & Wilson, T. A. 1970 J. Fluid Mech. 44, 97112.
Childress, S. & Peyret, R. 1976 To be published in J. Méc.
Chorin, A. J. 1968 Math. Comp. 22, 745762.
Fortin, M. 1972 Thèse de doctorat d'Etat, Université Paris VI.
Fromm, J. E. 1967 Fluid Dyn. Trans. 3, 169191.
Gebhart, B. 1973 Ann. Rev. Fluid Mech. 5, 213246.
Graebel, W. P. 1969 Quart. J. Mech. Appl. Math. 22, 3954.
Grant, A. J. 1974 J. Fluid Mech. 66, 707724.
Harlow, F. H. & Welch, J. E. 1965 Phys. Fluids, 8, 21822189.
List, E. J. 1971 J. Fluid Mech. 45, 561574.
Martin, S. & Long, R. R. 1968 J. Fluid Mech. 31, 669688.
Maxworthy, T. 1972 Int. Symp. Stratified Flows, Novosibirsk.
Pao, Y. H. 1968 J. Fluid Mech. 34, 795808.
Peyret, R. 1974 C.R. Acad. Sci. Paris, A 278, 15691572.
Tenner, A. R. & Gebhart, B. 1971 Int. J. Heat Mass Transfer, 14, 20512062.
Trent, D. S. & Welty, J. R. 1973 Computers & Fluids, 1, 331357.
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
Wessel, W. R. 1969 Phys. Fluids Suppl. 12, II 171176.
Young, J. A. & Hirt, C. W. 1972 J. Fluid Mech. 56, 265276.