Abstract
Knowledge of fluid surfaces having constant mean curvature and of their stability limits is a prerequisite for scientific research under microgravity conditions, i.e. in the Spacelab or in the forthcoming Space Station. For the stability of liquid menisci in edges and corners it is essential to know, whether they exhibit negative or positive mean curvature, i.e. whether the meniscus generates an underpressure or an overpressure. A corresponding classification of possible surfaces is attempted. The stability criterion for convex liquid surfaces in long solid edges is indicated and relevant results obtained in parabolic flights of a KC-135 aircraft are reported.
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References
Langbein, D. and Heide, W., Fluid physics demonstration experiments, in “Science Demonstration Experiments during Parabolic Flights of KC-135 Aircraft”, ESTEC-WP 1457 (1986), 47–54.
Langbein, D. and Heide, W., Study of convective mechanisms under microgravity conditions, Adv. Space Res. 6/5 (1986), 5–17.
Concus, P. and Finn, R., On capillary free surfaces in the absence of gravity, Acta Math. 132 (1974), 177–198.
Finn, R., Equilibrium capillary surfaces, Grundlehren der Mathematischen Wissenschaften 284 Springer (1986), 1–244.
Rayleigh, J. W. S., Lord, On the capillary phenomena ofjets, Proc. Roy. Soc. 29 (1879), 71–97.
Langbein, D., The shape and stability of liquid menisci in solid edges, J. Fluid Mech. (submitted).
Hornung, U. and Mittelmann, H. D., A finite element method for capillary surfaces with volume constraints, J. Comput. Phys. 87 (1990), 126–136.
Hornung, U. and Mittelmann, H. D., The augmented skeleton method for parametrized surfaces of liquid drops, J. Colloid Interface Sci 133 (1989), 409–417.
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© 1991 Springer-Verlag New York Inc.
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Langbein, D., Hornung, U. (1991). Liquid Menisci in Polyhedral Containers. In: Concus, P., Finn, R., Hoffman, D.A. (eds) Geometric Analysis and Computer Graphics. Mathematical Sciences Research Institute Publications, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9711-3_12
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DOI: https://doi.org/10.1007/978-1-4613-9711-3_12
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