DOI: 10.1017/s0022112074001261. On the motion of a fluid-fluid interface along a solid surface

On the motion of a fluid-fluid interface along a solid surface

10.1017/s0022112074001261

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A fluid-fluid interface that joins a solid surface forms a common line. If the common line moves along the solid, a mutual displacement process is involved and is studied here. Some simple experiments motivate the formulation of the basic assumption of the analysis. The basic assumption is a formalization of the idea that the fluid-fluid interface rolls on or unrolls off the solid. This forms an axiom for the mostly kinematical analysis that follows. The predictions are tested through a series of qualitative experiments. The role of the no-slip boundary condition at the solid surface is discussed.

Bibliography

Dussan V., E. B., & Davis, S. H. (1974). On the motion of a fluid-fluid interface along a solid surface. Journal of Fluid Mechanics, 65(1), 71â95.

Authors 2

Elizabeth B. Dussan V. (first)
Stephen H. Davis (additional)

References 20 Referenced 634

Coleman, B. D. , Markovitz, H. & Noll, W. 1966 Viscometric Flows of Non-Newtonian Fluids .Springer. (10.1007/978-3-642-88655-3)
Ince, E. L. 1956 Ordinary Differential Equations .Dover.
Benson, G. C. & Yun, K. S. 1967 Solid–Gas Interface (ed. E. A. Flood ), vol. 1.Marcel Dekker.
Bascom, W. D. , Cottington, R. L. & Singleterry, C. R. 1964 In Contact Angles, Wettability and Adhesion (ed. R. F. Gould ),pp.355–379.Washington:Am. Chem. Soc. (10.1021/ba-1964-0043.ch026)
Schwartz, A. M. , Rader, C. A. & Huey, E. 1964 In Contact Angles, Wettability and Adhesion (ed. Contact Angles, Wettability and Adhesion R. F. ),pp.250–267.Washington:Am. Chem. Soc. (10.1021/ba-1964-0043.ch017)
Riesz, F. & Sz-Nagy, B. 1955 Functional Analysis .New York:Unger.
Zisman, W. A. 1972 J. Paint Tech. 44,41.
Prutow, R. J. & Ostrach, S. 1971 AFOSR Sci. Rep. no. 70–28827, FTAS/TR-70–56.
Moffatt, H. K. 1964 J. Fluid Mech. 18,1. (10.1017/S0022112064000015)
Ludviksson, V. & Lightfoot, E. N. 1971 A.I.Ch.E. J. 17,1166. (10.1002/aic.690170523)
Hansen, R. J. & Toong, T. Y. 1971 J. Colloid Interface Sci. 37,196. (10.1016/0021-9797(71)90280-3)
Huh, C. & Scriven, L. E. 1971 J. Colloid Interface Sci. 35,85. (10.1016/0021-9797(71)90188-3)
Ludviksson, V. & Lightfoot, E. N. 1968 A.I.Ch.E. J. 14,674. (10.1002/aic.690140433)
Dussan V. E. B. 1972 Ph.D. thesis,Dept. Mech. & Mat. Sci., The Johns Hopkins University,Baltimore, Maryland.
Schonhorn, H. , Frisch, H. L. & Kwei, T. K. 1966 J. Appl. Phys. 37,4967. (10.1063/1.1708174)
Maxwell, J. C. 1876 Capillary action. Encycl. Brit. 9th edn. London. (See also 11th edn.)
Truesdell, C. A. & Noll, W. 1960 Classical Field Theories, Handbuch der Physik , vol. 3/1.Springer. (10.1007/978-3-642-45943-6_2)
Yarnold, G. D. 1938 Proc. Phys. Soc. 50,540. (10.1088/0959-5309/50/4/307)
Read, W. T. & Shockley, W. 1950 Phys. Rev. 78,275. (10.1103/PhysRev.78.275)
Worthington, A. M. 1963 A Study of Splashes .Macmillan.

Dates

Type	When
Created	19 years, 4 months ago (March 29, 2006, 3:33 a.m.)
Deposited	6 years, 4 months ago (April 17, 2019, 9:44 a.m.)
Indexed	2 weeks, 4 days ago (Aug. 6, 2025, 8:33 a.m.)
Issued	51 years ago (Aug. 12, 1974)
Published	51 years ago (Aug. 12, 1974)
Published Online	19 years, 4 months ago (March 29, 2006)
Published Print	51 years ago (Aug. 12, 1974)

Funders 0

None

BibTeX

@article{Dussan_V__1974, title={On the motion of a fluid-fluid interface along a solid surface}, volume={65}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112074001261}, DOI={10.1017/s0022112074001261}, number={1}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Dussan V., Elizabeth B. and Davis, Stephen H.}, year={1974}, month=aug, pages={71–95} }

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