메뉴 건너뛰기




Volumn 345, Issue 1-3, 2009, Pages 163-165

Young, Boruvka-Neumann, Wenzel and Cassie-Baxter equations as the transversality conditions for the variational problem of wetting

Author keywords

Boruvka Neumann equation; Cassie equation; Transversality conditions; Variational problem; Wenzel equation; Wetting; Young equation

Indexed keywords

CONTACT ANGLE;

EID: 67349131124     PISSN: 09277757     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.colsurfa.2009.04.054     Document Type: Article
Times cited : (116)

References (32)
  • 1
    • 0003098343 scopus 로고
    • An essay on the cohesion of fluids
    • Young Th. An essay on the cohesion of fluids. Philos. Trans. R. Soc. London 95 (1805) 65-87
    • (1805) Philos. Trans. R. Soc. London , vol.95 , pp. 65-87
    • Young, Th.1
  • 4
    • 0001686380 scopus 로고
    • On the question of determining the concept of disjoining pressure and its role in the equilibrium and flow of thin films
    • Derjaguin B.V., and Churaev N.V. On the question of determining the concept of disjoining pressure and its role in the equilibrium and flow of thin films. J. Colloid Interface Sci. 66 (1978) 389-398
    • (1978) J. Colloid Interface Sci. , vol.66 , pp. 389-398
    • Derjaguin, B.V.1    Churaev, N.V.2
  • 5
    • 0346061593 scopus 로고
    • The current state of the theory of long-range surface forces
    • Derjaguin B.V., and Churaev N.V. The current state of the theory of long-range surface forces. Prog. Surf. Sci. 40 (1992) 272-285
    • (1992) Prog. Surf. Sci. , vol.40 , pp. 272-285
    • Derjaguin, B.V.1    Churaev, N.V.2
  • 6
    • 42249106694 scopus 로고    scopus 로고
    • Interfacial tension and spreading coefficient for thin films
    • Tadmor R., and Pepper K.G. Interfacial tension and spreading coefficient for thin films. Langmuir 24 (2008) 3185-3190
    • (2008) Langmuir , vol.24 , pp. 3185-3190
    • Tadmor, R.1    Pepper, K.G.2
  • 8
    • 34250735054 scopus 로고    scopus 로고
    • Model for solid-solid and solid-liquid friction on rough surfaces with adhesion hysteresis
    • Nosonovsky M. Model for solid-solid and solid-liquid friction on rough surfaces with adhesion hysteresis. J. Chem. Phys. 126 (2007) 224701
    • (2007) J. Chem. Phys. , vol.126 , pp. 224701
    • Nosonovsky, M.1
  • 9
    • 54749145339 scopus 로고    scopus 로고
    • Energy transitions in superhydrophobicity: low adhesion, easy flow and bouncing
    • Nosonovsky M., and Bhushan B. Energy transitions in superhydrophobicity: low adhesion, easy flow and bouncing. J. Phys.: Condens. Matter 20 (2008) 395005
    • (2008) J. Phys.: Condens. Matter , vol.20 , pp. 395005
    • Nosonovsky, M.1    Bhushan, B.2
  • 10
    • 0038342165 scopus 로고    scopus 로고
    • Contact angles and hysteresis on surfaces with chemically heterogeneous islands
    • Extrand C.W. Contact angles and hysteresis on surfaces with chemically heterogeneous islands. Langmuir 19 (2003) 3793-3796
    • (2003) Langmuir , vol.19 , pp. 3793-3796
    • Extrand, C.W.1
  • 11
    • 34548150968 scopus 로고    scopus 로고
    • On some relations between advancing, receding and Young's contact angles
    • Chibowski E. On some relations between advancing, receding and Young's contact angles. Adv. Colloid Interface Sci. 133 (2007) 51-59
    • (2007) Adv. Colloid Interface Sci. , vol.133 , pp. 51-59
    • Chibowski, E.1
  • 13
    • 48149105654 scopus 로고    scopus 로고
    • Line energy, line tension and drop size
    • Tadmor R. Line energy, line tension and drop size. Surf. Sci. 602 (2008) L108-L111
    • (2008) Surf. Sci. , vol.602
    • Tadmor, R.1
  • 14
    • 33746974799 scopus 로고
    • Use of the term Young equation for contact angles
    • Adam N.K. Use of the term Young equation for contact angles. Nature 180 (1957) 809-810
    • (1957) Nature , vol.180 , pp. 809-810
    • Adam, N.K.1
  • 16
    • 34548134538 scopus 로고    scopus 로고
    • Drop size effect an contact angle explained by nonextensive thermodynamics. Young's equation revisited
    • Letellier P., Mayaffre Al., and Turmine M. Drop size effect an contact angle explained by nonextensive thermodynamics. Young's equation revisited. J. Colloid Interface Sci. 314 (2007) 604-614
    • (2007) J. Colloid Interface Sci. , vol.314 , pp. 604-614
    • Letellier, P.1    Mayaffre, Al.2    Turmine, M.3
  • 17
    • 37549026495 scopus 로고    scopus 로고
    • The rigorous derivation of Young, Cassie-Baxter and Wenzel equations and the analysis of the contact angle hysteresis phenomenon
    • Whyman G., Bormashenko Ed., and Stein T. The rigorous derivation of Young, Cassie-Baxter and Wenzel equations and the analysis of the contact angle hysteresis phenomenon. Chem. Phys. Lett. 450 (2008) 355-359
    • (2008) Chem. Phys. Lett. , vol.450 , pp. 355-359
    • Whyman, G.1    Bormashenko, Ed.2    Stein, T.3
  • 20
    • 85021792427 scopus 로고
    • Resistance of solid surfaces to wetting by water
    • Wenzel R.N. Resistance of solid surfaces to wetting by water. Ind. Eng. Chem. 28 (1936) 988-994
    • (1936) Ind. Eng. Chem. , vol.28 , pp. 988-994
    • Wenzel, R.N.1
  • 21
    • 51349147430 scopus 로고    scopus 로고
    • Variational approach to wetting problems: calculation of a shape of sessile liquid drop deposited on a solid substrate in external field
    • Bormashenko E., and Whyman G. Variational approach to wetting problems: calculation of a shape of sessile liquid drop deposited on a solid substrate in external field. Chem. Phys. Lett. 463 (2008) 103-105
    • (2008) Chem. Phys. Lett. , vol.463 , pp. 103-105
    • Bormashenko, E.1    Whyman, G.2
  • 22
    • 0032167223 scopus 로고    scopus 로고
    • The actual contact angle on a heterogeneous rough surface in three dimensions
    • Wolansky G., and Marmur A. The actual contact angle on a heterogeneous rough surface in three dimensions. Langmuir 14 (1998) 5292-5297
    • (1998) Langmuir , vol.14 , pp. 5292-5297
    • Wolansky, G.1    Marmur, A.2
  • 23
    • 10944245814 scopus 로고    scopus 로고
    • On the shape and stability of a drop on a solid surface
    • Berim G.O., and Ruckenstein E. On the shape and stability of a drop on a solid surface. J. Phys. Chem. B 108 (2004) 19330-19338
    • (2004) J. Phys. Chem. B , vol.108 , pp. 19330-19338
    • Berim, G.O.1    Ruckenstein, E.2
  • 25
    • 45049083427 scopus 로고    scopus 로고
    • Why does the Cassie-Baxter equation apply?
    • Bormashenko E. Why does the Cassie-Baxter equation apply?. Colloids Surf. A 324 (2008) 47-50
    • (2008) Colloids Surf. A , vol.324 , pp. 47-50
    • Bormashenko, E.1
  • 26
    • 34848825020 scopus 로고    scopus 로고
    • On the range of applicability of the Wenzel and Cassie equations
    • Nosonovsky M. On the range of applicability of the Wenzel and Cassie equations. Langmuir 23 (2007) 9919-9920
    • (2007) Langmuir , vol.23 , pp. 9919-9920
    • Nosonovsky, M.1
  • 27
    • 42449144353 scopus 로고    scopus 로고
    • Contact angle hysteresis on polymer substrates established with various experimental techniques, its interpretation, and quantitative characterization
    • Bormashenko E., Bormashenko Y., Whyman G., Pogreb R., Musin A., Jager R., and Barkay Z. Contact angle hysteresis on polymer substrates established with various experimental techniques, its interpretation, and quantitative characterization. Langmuir 24 (2008) 4020-4025
    • (2008) Langmuir , vol.24 , pp. 4020-4025
    • Bormashenko, E.1    Bormashenko, Y.2    Whyman, G.3    Pogreb, R.4    Musin, A.5    Jager, R.6    Barkay, Z.7
  • 28
    • 36649022115 scopus 로고    scopus 로고
    • Molecular mechanisms of hydrophobic transitions
    • Drelich J., Laskowski J.S., and Mittal K.L. (Eds), VSP BV, Utrecht
    • Yaminsky V.V. Molecular mechanisms of hydrophobic transitions. In: Drelich J., Laskowski J.S., and Mittal K.L. (Eds). Apparent and Microscopic Contact Angles (2000), VSP BV, Utrecht 47-93
    • (2000) Apparent and Microscopic Contact Angles , pp. 47-93
    • Yaminsky, V.V.1
  • 29
    • 0034726180 scopus 로고    scopus 로고
    • Three-phase contact line energetics from nanoscale liquid surface topographies
    • Pompe T., and Herminghaus S. Three-phase contact line energetics from nanoscale liquid surface topographies. Phys. Rev. Lett. 85 9 (2000) 1930-1933
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.9 , pp. 1930-1933
    • Pompe, T.1    Herminghaus, S.2
  • 30
    • 33846371163 scopus 로고    scopus 로고
    • Line tension effects for liquid droplets on circular surface domains
    • Blecua P., Lipowsky R., and Kierfeld J. Line tension effects for liquid droplets on circular surface domains. Langmuir 22 (2006) 11041-11059
    • (2006) Langmuir , vol.22 , pp. 11041-11059
    • Blecua, P.1    Lipowsky, R.2    Kierfeld, J.3
  • 31
    • 0000758925 scopus 로고
    • Generalization of the classical theory of capillarity
    • Boruvka L., and Neumann A.W. Generalization of the classical theory of capillarity. J. Chem. Phys. 66 (1977) 5464
    • (1977) J. Chem. Phys. , vol.66 , pp. 5464
    • Boruvka, L.1    Neumann, A.W.2
  • 32
    • 0035613892 scopus 로고    scopus 로고
    • Droplet profiles under the influence of van der Waals forces
    • Minkov E., and Novick-Cohen A. Droplet profiles under the influence of van der Waals forces. Eur. J. Appl. Math. 12 (2001) 367-393
    • (2001) Eur. J. Appl. Math. , vol.12 , pp. 367-393
    • Minkov, E.1    Novick-Cohen, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.