A mean curvature model for capillary flows in asymmetric containers and conduits

Physics of Fluids

Volumn 24, Issue 8, 2012, Pages

  Chen, Yongkang ^a   Tavan, Noël ^a   Weislogel, Mark M ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; CONTAINERS; WETTING;

ANALYTIC METHOD; COMPLEX COMPOUNDS; DROP TOWERS; MEAN CURVATURE; WETTING FLUID; ZERO GRAVITY;

CAPILLARITY;

EID: 84865776539     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4749816     Document Type: Article

References (27)

1. Weislogel M.M. Lichter S. Capillary flow in an interior corner. J. Fluid Mech. 1998, 373:349-378. 10.1017/S0022112098002535.
2. Weislogel M.M. Capillary flow in containers of polygonal section. AIAA J. 2001, 39:2320-2326. 10.2514/2.1237.
3. Cubard T. Ho C.-M. Transport of bubbles in square microchannels. Phys. Fluids 2004, 16:4575-4585. 10.1063/1.1813871.
4. Chen Y. Collicott S.H. Experimental study on the capillary flow in a vane-wall gap geometry. AIAA J. 2005, 43:2395-2403. 10.2514/1.12604.
5. Bolleddula D.A. Chen Y. Semerjian B. Tavan N. Weislogel M.M. Compound capillary flows in complex containers: drop tower test results. Microgravity Sci. Technol. 2010, 22:475-485. 10.1007/s12217-010-9213-x.
6. Weislogel M.M. Jenson R. Chen Y. Collicott S.H. Klatte J. Dreyer M. The capillary flow experiments aboard the International Space Station: Status. Acta Astronaut. 2009, 65:861-869. 10.1016/j.actaastro.2009.03.008.
7. de Lazzer A. Langbein D. Dreyer M. Rath H.J. Mean curvature of liquid surfaces in cylindrical containers of arbitrary cross-section. Microgravity Sci. Technol. 1996, IX:208-219.
8. Weislogel M.M. Baker J.A. Jenson R.M. Quasi-steady capillary-driven flows in slender containers with interior edges. J. Fluid Mech. 2011, 685:271-305. 10.1017/jfm.2011.314.
9. Finn R. Neel R.W. C-singular solutions of the capillary problem. J. Reine Angew. Math. 1999, 512:1-25. 10.1515/crll.1999.053.
10. Weislogel M.M. Collicott S.H. Capillary rewetting of vaned containers: Spacecraft tank rewetting following thrust resettling. AIAA J. 2004, 42:2551-2561. 10.2514/1.3394.
11. Chen Y. Weislogel M.M. Nardin C.L. Capillary-driven flows along rounded interior corners. J. Fluid Mech. 2006, 566:235-271. 10.1017/S0022112006001996.
12. Ichikawa N. Hosokawa K. Maeda R. Interface motion of a capillary-driven flow in rectangular microchannel. J. Colloid Interface Sci. 2004, 280:155164. 10.1016/j.jcis.2004.07.017.
13. Concus P. Finn R. On capillary free surfaces in the absence of gravity. Acta Math. 1974, 132:177-198. 10.1007/BF02392113.
14. Finn R. A subsidiary variational problem and existence criteria for capillary surfaces. J. Reine Angew. Math. 1984, 353:196-214. 10.1515/crll.1984.353.196.
15. Finn R. Equilibrium Capillary Surfaces 1986, A Series of Comprehensive Studies in Mathematics Vol. 284 (Springer-Verlag, New York, ), Chaps. 6 and 7.
16. Concus P. Finn R. Continuous and discontinuous disappearance of capillary surfaces. Variational Methods for Free Surface Interfaces 1987, 197-204. P. Concus, R. Finn, and "," in edited by and (Springer-Verlag, Berlin)
17. Lekan J. Gotti D. Jenkins A.J. Owens J.C. Johnston M.R. Users guide for the 2.2 second drop tower of the NASA Lewis Research Center. 1996, and "," Technical Memorandum No. 107090 (National Aeronautics and Space Administration, ).
18. Weislogel M.M. Steady spontaneous capillary flow in partially coated tubes. AIChE J. 1997, 43:645-654. 10.1002/aic.690430310.
19. Tavan N. Critical geometric wetting phenomena: study of capillary driven flow in the CFE Vane-Gap experiment aboard the International Space Station. 2009, "," Master's thesis (Portland State University, Portland, OR, ).
20. Concus P. Finn R. On the behavior of a capillary surface in a wedge. Proc. Natl. Acad. Sci. U.S.A. 1969, 63:292-299. 10.1073/pnas.63.2.292.
21. Concus P. Finn R. Capillary wedges revisited. SIAM J. Math. Anal. 1996, 27:56-69. 10.1137/S0036141093247482.
22. Chen Y. Collicott S.H. Investigation of the symmetric wetting behavior of vane-wall gaps in propellant tanks. AIAA J. 2004, 42:305-314. 10.2514/1.915.
23. Chen Y. Schaeffer B. Weislogel M.M. Zimmerli G. Introducing SE-FIT: Surface Evolver - Fluid Interface Tool for studying capillary surfaces. 2011, and "," AIAA Paper 2011-1319.
24. Brakke K.A. The surface evolver. Exp. Math. 1992, 1:141-165. 10.1080/10586458.1992.10504253.
25. Hoffman R. A study of the advancing interface. I. Interface shape in liquid-gas system. J. Colloid Interface Sci. 1975, 50:228-241. 10.1016/0021-9797(75)90225-8.
26. Weislogel M.M. Capillary flow in an interior corner. 1996, "," Ph.D. dissertation (Northwestern University, ).
27. Chen Y. Jenson R.M. Weislogel M.M. Collicott S. Capillary wetting analysis of the CFE Vane-Gap geometry. 2008, and "," AIAA Paper 2008-817.