The profile of a dew drop

American Journal of Physics

Volumn 64, Issue 9, 1996, Pages 1120-1125

  Behroozi, Feredoon ^a   Macomber, Hilliard K ^a   Dostal, Jack A ^a   Behroozi, Cyrus H ^a   Lambert, Brian K ^a,b  

^a UNIVERSITY OF NORTHERN IOWA   (United States)

^b California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030503814     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18332     Document Type: Article

References (22)

1. F. Bashforth and J. C. Adams, An Attempt to Test the Theories of Capillary Attraction by Comparing the Theoretical and Measured Forms of Drops of Fluids (Cambridge U. P., Cambridge, 1883).
2. J. F. Paddy, "The profiles of axially symmetric menisci," Philos. Trans. R. Soc. London, Ser. A 269, 265-293 (1971).
3. C. Maze and G. Burnet, "A non-linear regression method for calculating surface tension and contact angle from the shape of a sessile drop," Surf. Sci. 13, 451-470 (1969).
4. J. F. Paddy and A. R. Pitt, "Surface and interfacial tensions from the profile of a sessile drop," Proc. R. Soc. London, Ser. A 329, 421-431 (1972).
5. J. F. Paddy, "Sessile drop profiles: corrected methods for surface tension and spreading coefficients," Proc. R. Soc. London, Ser. A 330, 561-572 (1972).
6. Y. Rotenberg, L. Boruvka, and A. W. Neumann, "Determination of surface tension and contact angle from the shapes of axisymmetric fluid interfaces," J. Colloid Interface Sci. 93, 169-183 (1983).
7. I. Bruce, "Concerning drops," Am. J. Phys. 52(12), 1102-1105 (1984).
8. F-S. Shyr, "An approximate method to determine the surface tension from a sessile drop," J. Mater. Sci. Lett. 10, 946-949 (1991).
9. J. De Coninck, "Contact angle for a sessile drop: a statistical mechanical approach," Colloids Surf. 89(213), 109-115 (1994).
10. S. W. Rienstra, "The shape of a sessile drop for small and large surface tensions," J. Eng. Math. 24, 193-201 (1990).
11. S. B. G. M. O'Brien, "On the shape of small sessile and pendent drops by singular perturbation techniques," J. Fluid Mech. 233, 519-526 (1991).
12. M. E. R. Shanahan, "Profile and contact angle of small sessile drops - a more general approximate solution," J. Chem. Soc., Faraday Trans, 1 80, 37-45 (1984).
13. S. B. G. M. O'Brien, "Asymptotic solutions for double pendent and extended sessile drops," Q. Appl. Math. 52(1), 43-48 (1994).
14. M. Carla, R. Cecchini, and S. Bordi, "An automated apparatus for interfacial tension measurements by the sessile drop technique," Rev. Sci. Instrum. 62, 1088-1092 (1991).
15. R. Finn, Equilibrium Capillary Surfaces (Springer-Verlag, New York, 1986).
16. Most authors use a variational method based on virtual work to derive the Young-Laplace equation. See, for example, L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987), 2nd ed., p. 238, or the more elementary text, D. Tabor, Gases, Liquids, and Solids (Cambridge U. P., New York, 1991), 3rd ed., pp. 284-285. For a derivation based on thermodynamics, see J. Pellicer, J. A. Manzanares, and S. Mafé, "The physical description of elementary surface phenomena: Thermodynamics versus mechanics," Am. J. Phys. 63(6), 542-547 (1995). Our treatment is similar to that given in J. K. Vennard and R. L. Street, Elementary Fluid Mechanics (Wiley, New York, 1982), 6th ed., pp. 24-25.
17. Most authors use a variational method based on virtual work to derive the Young-Laplace equation. See, for example, L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987), 2nd ed., p. 238, or the more elementary text, D. Tabor, Gases, Liquids, and Solids (Cambridge U. P., New York, 1991), 3rd ed., pp. 284-285. For a derivation based on thermodynamics, see J. Pellicer, J. A. Manzanares, and S. Mafé, "The physical description of elementary surface phenomena: Thermodynamics versus mechanics," Am. J. Phys. 63(6), 542-547 (1995). Our treatment is similar to that given in J. K. Vennard and R. L. Street, Elementary Fluid Mechanics (Wiley, New York, 1982), 6th ed., pp. 24-25.
18. Most authors use a variational method based on virtual work to derive the Young-Laplace equation. See, for example, L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987), 2nd ed., p. 238, or the more elementary text, D. Tabor, Gases, Liquids, and Solids (Cambridge U. P., New York, 1991), 3rd ed., pp. 284-285. For a derivation based on thermodynamics, see J. Pellicer, J. A. Manzanares, and S. Mafé, "The physical description of elementary surface phenomena: Thermodynamics versus mechanics," Am. J. Phys. 63(6), 542-547 (1995). Our treatment is similar to that given in J. K. Vennard and R. L. Street, Elementary Fluid Mechanics (Wiley, New York, 1982), 6th ed., pp. 24-25.
19. Most authors use a variational method based on virtual work to derive the Young-Laplace equation. See, for example, L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987), 2nd ed., p. 238, or the more elementary text, D. Tabor, Gases, Liquids, and Solids (Cambridge U. P., New York, 1991), 3rd ed., pp. 284-285. For a derivation based on thermodynamics, see J. Pellicer, J. A. Manzanares, and S. Mafé, "The physical description of elementary surface phenomena: Thermodynamics versus mechanics," Am. J. Phys. 63(6), 542-547 (1995). Our treatment is similar to that given in J. K. Vennard and R. L. Street, Elementary Fluid Mechanics (Wiley, New York, 1982), 6th ed., pp. 24-25.
20. D. Tabor, Gases, Liquids, and Solids (Cambridge U. P., New York, 1991), 3rd ed., pp. 283-284.
21. CRC Handbook of Chemistry and Physics, edited by D. R. Lide (CRC, Boca Raton, FL, 1995), 76th ed., p. 6-10.
22. No standard values of contact angles are available due to the fact that contact angles are greatly affected by surface roughness and the presence of contaminants. See, for example, J. K. Spelt, Y. Rotenberg, D. R. Absolom, and A. W. Neumann, "Sessile-drop contact angle measurements using axisymmetric drop shape analysis," Colloids Surf. 24, 127-137 (1987).