The capillary interaction between two vertical cylinders

Journal of Physics Condensed Matter

Volumn 24, Issue 28, 2012, Pages

  Cooray, Himantha ^a   Cicuta, Pietro ^a   Vella, Dominic ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY INTERACTIONS; ENERGETIC COSTS; FLOATING PARTICLES; FULLY NONLINEAR; INTER-PARTICLE SEPARATION; INTERPARTICLE FORCE; LAPLACE-YOUNG EQUATION; LIQUID SURFACE; MESHFREE; NON-LINEARITY; NUMERICAL SOLUTION; PARTICLES FLOATING; SURFACE CLUSTERS; VERTICAL CYLINDERS;

ASYMPTOTIC ANALYSIS; CIRCULAR CYLINDERS; CONTACT ANGLE; CONTROL NONLINEARITIES; LAPLACE EQUATION; LAPLACE TRANSFORMS; LIQUIDS; NONLINEAR EQUATIONS; PARTICLE SEPARATORS;

AGGLOMERATION;

EID: 84863335019     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/24/28/284104     Document Type: Article

References (22)

1. Binks B P and Horozov T S 2006 Colloidal Particles at Liquid Interfaces (Cambridge: Cambridge University Press)
2. Kralchevsky P A and Nagayama K 2001 Particles at Fluid Interfaces and Membranes: Attachment of Colloid Particles and Proteins to Interfaces and Formation of Two-dimensional Arrays (Amsterdam: Elsevier)
3. Vella D and Mahadevan L 2005 The Cheerios effect Am. J. Phys. 73 817-25 (Pubitemid 41352238)
4. Hu D L and Bush J W M 2005 Meniscus-climbing insects Nature 437 733-6 (Pubitemid 41486541)
5. Saliternik Z 1942 The macroscopic differentiation of anopheline eggs according to their pattern on the surface of water Bull. Entomol. Rev. 33 221-2
6. Gart S, Vella D and Jung S 2011 The collective motion of nematodes in a thin liquid layer Soft Matter 7 2444-8
7. Bowden N B, Terfort A, Carbeck J and Whitesides G M 1997 Self-assembly of mesoscale objects into ordered two-dimensional arrays Science 276 233-5 (Pubitemid 27172675)
8. Pokroy B, Kang S H, Mahadevan L and Aizenberg J 2009 Self-organization of a mesoscale bristle into ordered, hierarchical helical assemblies Science 323 237-40
9. Dushkin C D, Kralchevsky P A, Paunov V N, Yoshimura H and Nagayama K 1996 Torsion balance for measurement of capillary immersion forces Langmuir 12 641-51 (Pubitemid 126568044)
10. Velev O D, Denkov N D, Paunov V N, Kralchevsky P A and Nagayama K 1993 Direct measurement of lateral capillary forces Langmuir 9 3702-9
11. Kralchevsky P A, Paunov V N, Denkov N D, Ivanov I B and Nagayama K 1993 Energetical and force approaches to the capillary interactions between particles attached to a liquid-fluid interface J. Colloid Interface Sci. 155 420-37
12. Chan D Y C, Henry J D and White L R 1981 The interaction of colloidal particles collected at fluid interfaces J. Colloid Interface Sci. 79 410-8
13. Danov K D, Kralchevsky P A, Naydenov B N and Brenn G 2005 Interactions between particles with an undulated contact line at a fluid interface: capillary multipoles of arbitrary order J. Colloid Interface Sci. 287 121-34 (Pubitemid 40725650)
14. Pozrikidis C 2010 Computation of three-dimensional hydrostatic menisci IMA J. Appl. Math. 75 418-38
15. Liszka T J, Duarte C A M and Tworzydlo W W 1996 hp-meshless cloud method Comput. Methods Appl. Mech. Eng. 139 263-88 (Pubitemid 126382700)
16. Finn R 1999 Capillary surface interfaces Not. AMS 46 770-81
17. Lo L L 1983 The meniscus on a needle - a lesson in matching J. Fluid Mech. 132 65-78
18. Abramowitz M and Stegun I A 1964 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover)
19. Keller J B 1998 Surface tension force on a partly submerged body Phys. Fluids 10 3009-10 (Pubitemid 128599823)
20. Lancaster P and Salkauskas K 1981 Surfaces generated by moving least squares methods Math. Comput. 37 141-58
21. Benito J J, Urena F, Gavete L and Alvarez R 2003 An h-adaptive method in the generalized finite differences Comput. Methods Appl. Mech. Eng. 192 735-59 (Pubitemid 36219552)
22. Loudet J C, Alsayed A M, Zhang J and Yodh A G 2005 Capillary interactions between anisotropic colloidal particles Phys. Rev. Lett. 94 018301 (Pubitemid 40620269)