Capillary Surfaces pp 179-211 | Cite as
Cylindrical Containers
Chapter
First Online:
Abstract
A liquid penetrates into wedge-shaped space between solid surfaces if the sum of the dihedral angle of the wedge and the contact angle with the faces is smaller than the sum π of angles in a triangle. If that sum exceeds π, a liquid volume pressed into the wedge by gravity or rotation breaks into droplets on reduction of the force. This is particularly important in long cylindrical vessels with a filling level sufficiently high for the end sections to be completely covered by liquid.
Keywords
Contact Angle Capillary Pressure Liquid Surface Contact Line Liquid Volume
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.Bauer HF: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. Zeitschrift Angewandte Mathematik und Mechanik 64 (1984) 475–490CrossRefGoogle Scholar
- 2.Bauer HF: Free surface and interface oscillations of an infinitely long liquid column. Acta Astronautica 13 (1986) 9–22CrossRefGoogle Scholar
- 3.Cahn JW: Critical point wetting. J. Chem. Phys. 66 (1977) 3667–3672CrossRefGoogle Scholar
- 4.Cahn JW: Monotectic composite growth. Metall. Trans. 10A (1979) 119–121Google Scholar
- 5.Concus P, Finn R: On capillary free surfaces in the absence of gravity. Acta Math. 132 (1974) 77–198CrossRefGoogle Scholar
- 6.de Lazzer A, Langbein D, Dreyer M, Rath HJ: Mean curvature of liquid surfaces in cylindrical containers of arbitrary cross-section. Microgravity Sci. Technol. 9 (1996) 208–219Google Scholar
- 7.de Lazzer A, Dreyer ME, Rath HJ: Capillary effects under low gravity. Part II: considerations on equilibrium capillary surfaces. Space Forum 3 (1998a) 137–163Google Scholar
- 8.de Lazzer A: Zum Verhalten kapillarer Flüssigkeitsgrenzflächen in Ecken und Kanten. Dissertation, University of Bremen (1998) 1–120. dto: Progress Reports VDI (Verein Deutscher Ingenieure), Series 7, flow technology, No. 345Google Scholar
- 9.de Lazzer A, Langbein D, Dreyer ME, Rath HJ: Stabilität von Grenzflächen in rotierenden rhombischen Prismen. Bilanzsymposium Forschung unter Weltraumbedingungen. M.H. Keller, P.R. Sahm (eds.). Norderney, 21–23 September 1998b, 42–49Google Scholar
- 10.Dreyer ME, Gerstmann J, Stange M, Rosendahl U, Wölk G, Rath HJ: Capillary effects under low gravity. Part I. surface settling, capillary rise and critical velocities. Space Forum 3 (1998) 87–136Google Scholar
- 11.Finn R: Equilibrium Capillary Surfaces, Grundlehren der Mathematischen Wissenschaften, Vol. 284. Springer, Berlin, Heidelberg (1986) 1–244Google Scholar
- 12.Finn R, Neel RW: Singular solutions of the capillary problem. J. Reine Angew. Math. 512 (1999) 1–25CrossRefGoogle Scholar
- 13.Langbein D: The shape and stability of liquid menisci at solid edges. J. Fluid Mech. 213 (1990) 251–265CrossRefGoogle Scholar
- 14.Langbein D, Hornung U: Liquid menisci in polyhedral containers. Proceedings of the Workshop on Differential Geometry, Calculus of Variations and Computer Graphics, MSRI Book Series. Springer, Berlin, Heidelberg (1988)Google Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2002