DOI: 10.1017/s0022112083002451. Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe

Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe

10.1017/s0022112083002451

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A nonlinear analysis, based on lubrication theory, is presented for the adjustment under surface tension of an initially uniform annular film of viscous fluid confined within a circular cylindrical pipe. The film surrounds a thread of another viscous fluid. Small axisymmetric interfacial disturbances of sufficiently long wavelength are found to grow, leading to the break-up of the initially continuous outer film into a number of isolated rings of fixed length on the pipe wall. The implications for the rupture of fluid threads surrounded by moderately thin films in confined geometries are discussed.

Bibliography

Hammond, P. S. (1983). Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. Journal of Fluid Mechanics, 137, 363â384.

Authors 1

P. S. Hammond (first)

References 18 Referenced 194

Hall, G. & Watt, J. M. (eds.) 1976 Modern Numerical Methods for Ordinary Differential Equations .Oxford University Press.
Goldsmith, H. L. & Mason, S. G. 1963 J. Coll. Interface Sci. 18,237.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics .Prentice-Hall.
Mohanty, K. K. 1981 Fluids in porous media: two phase distribution and flow. PhD dissertation, University of Minnesota.
Hickox, C. E. 1971 Phys. Fluids 14,251.
Williams, M. B. & Davis, S. H. 1982 J. Coll. Interface Sci. 90,220.
Goren, S. L. 1962 J. Fluid Mech. 12,309.
Taylor, G. I. 1961 J. Fluid Mech. 10,161.
Chen, J. D. & Slattery, J. C. 1982 AIChE J. 28,955.
Wu, R. & Weinbaum, S. 1982 J. Fluid Mech. 121,315.
Jones, A. F. & Wilson, S. D. R. 1978 J. Fluid Mech. 87,263.
Koplik, J. , Wilkinson, D. & Willemsen, J. F. 1983 Percolation and capillary fluid displacement. Presented at the Workshop on the Mathematics and Physics of Disordered Media, University of Minnesota, February 1983 .
Tomotika, S. 1935 Proc. R. Soc. Lond. A,150,322.
Everett, D. H. & Haynes, J. M. 1972 J. Coll. Interface Sci. 38,125.
Hammond, P. S. 1982 Flows driven by surface tension with nearby rigid boundaries. PhD dissertation, Cambridge University.
Larson, R. G. , Scriven, L. E. & Davis, H. T. 1981 Chem. Engng Sci. 36,57.
Taylor, G. I. 1934 Proc. R. Soc. Lond. A,146,501.
Rayleigh, Lord 1892 Phil. Mag. 34,145. (10.1080/14786449208620301)

Dates

Type	When
Created	19 years, 4 months ago (April 20, 2006, 7:04 a.m.)
Deposited	2 years, 3 months ago (May 7, 2023, 12:23 a.m.)
Indexed	4 days, 3 hours ago (Aug. 19, 2025, 6:05 a.m.)
Issued	41 years, 8 months ago (Dec. 1, 1983)
Published	41 years, 8 months ago (Dec. 1, 1983)
Published Online	19 years, 4 months ago (April 20, 2006)
Published Print	41 years, 8 months ago (Dec. 1, 1983)

Funders 0

None

BibTeX

@article{Hammond_1983, title={Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe}, volume={137}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112083002451}, DOI={10.1017/s0022112083002451}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Hammond, P. S.}, year={1983}, month=dec, pages={363–384} }

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