Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-15T19:48:23.458Z Has data issue: false hasContentIssue false
  • English
  • Français

Stratified laminar flow of two immiscible fluids

Published online by Cambridge University Press:  24 October 2008

B. A. Packham  and
R. Shall
B. A. Packham
Affiliation:
Department of Mathematics, University of Surrey
R. Shall
Affiliation:
Department of Mathematics, University of Surrey
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the steady co-current flow of two immiscible viscous liquids in a horizontal pipe, the fluid interface being ripple-free and plane. It is shown that if the cross-section of the duct is symmetric with respect to the interface, the velocity distribution may be expressed in terms of two separate pipe-flow solutions. One corresponds to the flow of a single fluid occupying the whole of the pipe, and the second to a similar flow in a pipe whose cross-section coincides with that of the region occupied by one fluid in the two-phase motion. Flow rates and other quantities of engineering interest are evaluated, and several particular flows are discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 3 , May 1971 , pp. 443 - 448
Copyright
Copyright © Cambridge Philosophical Society 1971

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

REFERENCES

(1)Achutaramayya, G. and Sleicher, C. A.Canad. J. Chem. Eng. 47 (1969), 347.Google Scholar
(2)Bentwich, M. J.Basic Eng. D 86, (1964), 669.CrossRefGoogle Scholar
(3)Charles, M. E. and Lilleleht, L. U.Canad. J. Chem. Eng. 43 (1965), 110.CrossRefGoogle Scholar
(4)Charles, M. E. and Redburger, P.J. Canad. J. Chem. Eng. 40 (1962), 70.Google Scholar
(5)Dumitrescu, L. and Staniscu, C.Acad. B. P. Bomine. Stud. Cerc. Mec. Api. 2 (1957), 2.Google Scholar
(6)Gemmell, A. R. and Epstein, N.Canczd. J. Chem. Eng. 40 (1962), 215.CrossRefGoogle Scholar
(7)Greenrill, A. G.Mess. Math. 9 (1879), 89.Google Scholar
(8)Kolossof, G.C.R. Acad. Sci. Paris Sér. A–B 178 (1924), 2057.Google Scholar
(9)Love, A. E. H.The mathematical theory of elasticity (Cambridge University Press, 1952).Google Scholar
(10)Timoshenko, S. and Goodier, J. N.Theory of elasticity (New York: McGraw-Hill, 1951).Google Scholar
(11)Yu, H. S. and Sparrow, E. M.A.I.Ch.E. Journal 13 (1967), 10.CrossRefGoogle Scholar