Computational investigation of unusual behavior in certain capillary tubes

Microgravity Science and Technology

Volumn 15, Issue 4, 2004, Pages 31-38

  Brady, Victor ^a   Concus, Paul ^b,d   Finn, Robert ^c  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c STANFORD UNIVERSITY   (United States)

^d LBNL50A 1148 ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FLUIDS; GRAVITATION; INTERFACES (MATERIALS); MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; PROBLEM SOLVING;

BOUNDARY CURVES; FLUID INTERFACES; FREE SURFACE; LAPLACE CAPILLARY EQUATION;

CAPILLARY TUBES;

EID: 10944243178     PISSN: 09380108     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02870966     Document Type: Article

References (12)

1. Finn, R.: Equilibrium Capillary Surfaces. Springer-Verlag, New York (1986); Russian translation, Mir Publishers, Moscow (1988)
2. Concus, P., Finn, R.: On capillary free surfaces in the absence of gravity. Acta Math. vol. 132, pp. 177-198 (1974)
3. Concus, P., Finn, R.: Dichotomous behavior of capillary surfaces in zero gravity. Microgravity Sci. Technol. vol. 3, pp. 87-92 (1990). Corrigenda of printing errors: vol. 3, p. 230 (1991)
4. Finn, R.: A curious behavior of capillary surfaces. Ann. Univ. Ferrara Sez. VII (N.S.) vol. 48, pp. 153-163 (2002)
5. MATLAB. Licensed software, The Mathworks Inc., Natick, MA, USA http://www.mathworks.com
6. Siegel, D.: Height estimates for capillary surfaces. Pacific J. Math. vol. 88, pp. 471-516 (1980)
7. Concus, P., Finn, R.: On the height of a capillary surface. Math. Zeit. vol. 147, pp. 93-95 (1976)
8. Finn, R., Kosmodem 'yanskii, A.A., Jr.: Some unusual comparison properties of capillary surfaces. Pacific J. Math. vol. 205, pp. 119-137 (2002)
9. Brady, V., Concus, P., Finn, R.: Capillary rise in nesting cylinders. Phys. Fluids vol. 15, pp. 1545-1551 (2003)
10. Finn, R.: A new example of singular height transition for capillary surfaces. Calc. Var. Partial Differential Equations vol. 19, pp. 107-115 (2004)
11. Bank, R.E.: PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, Users' Guide 8.0. SIAM, Philadelphia (1988). Software available via Netlib at http://www.netlib.org/pltmg
12. Chen, Y., Collicott, S.H.: Investigation of the symmetric wetting of a vane-wall gap in propellant tanks. AIAA J. vol. 42, pp. 305-314 (2004)