Obtaining surface tension from pendant drop volume and radius of curvature at the apex

Colloids and Surfaces A: Physicochemical and Engineering Aspects

Volumn 315, Issue 1-3, 2008, Pages 136-146

  Yeow, Y Leong ^a   Pepperell, Christopher J ^a   Sabturani, Firdaus M ^a   Leong, Yee Kwong ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Apex radius of curvature; Bond number; Pendant drop; Surface tension; Tikhonov regularization

Indexed keywords

DROPS; INTEGRAL EQUATIONS; MICROACTUATORS; SET THEORY;

AXISYMMETRY; BOND NUMBERS; DIMENSIONLESS APEX CURVATURE; DIMENSIONLESS DROPLET VOLUME; PENDANT DROP; RADIUS OF CURVATURE; TIKHONOV REGULARIZATION;

SURFACE TENSION;

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SURFACE PROPERTY; SURFACE TENSION;

EID: 37349042202     PISSN: 09277757     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.colsurfa.2007.07.025     Document Type: Article

References (22)

1. Adamson A.W., and Gast A.P. Physical Chemistry of Surfaces. 6th ed. (1997), John Wiley, New York
2. Rotenberg Y., Boruvka L., and Neumann A.W. Determination of surface-tension and contact-angle from the shapes of axisymmetric fluid interfaces. J. Colloid Interf. Sci. 93 (1983) 169-183
3. Thiessen D.B., Chione D.J., McCreary C.B., and Krantz W.B. Robust digital image analysis of pendant drop shapes. J. Colloid Interf. Sci. 177 (1996) 658-665
4. Song B.H., and Springer J. Determination of interfacial tension from the profile of a pendant drop using computer-aided image processing 1. Theoretical. J. Colloid Interf. Sci. 184 (1996) 64-76
5. Song B.H., and Springer J. Determination of interfacial tension from the profile of a pendant drop using computer-aided image processing 2. Experimental. J. Colloid Interf. Sci. 184 (1996) 77-91
6. Dingle N.M., Tjiptowidjojo K., Basaran O.A., and Harris M.T. A finite element based algorithm for determining interfacial tension (gamma) from pendant drop profiles. J. Colloid Interf. Sci. 186 (2005) 647-660
7. Jennings J.W., and Pallas N.R. An efficient method for the determination of interfacial-tensions from drop profiles. Langmuir 4 (1988) 959-967
8. Hoorfar M., Kurz M.A., and Neumann A.W. Evaluation of the surface tension measurement of axisymmetric drop shape analysis (ADSA) using a shape parameter. Colloid Surf. A: Physicochem. Eng. Aspects 260 (2005) 277-285
9. Cabezas M.G., Bateni A., Montanero J.M., and Neumann A.W. A new method of image processing in the analysis of axisymmetric drop shapes. Colloid Surf. A: Physicochem. Eng. Aspects 255 (2005) 193-200
10. Hoorfar M., and Neumann A.W. Recent progress in axisymmetric drop shape analysis (ADSA). Adv. Colloid Interf. Sci. 121 (2006) 25-49
11. de Ramos A.L., Redner R.A., and Cerro R.L. Surface-tension from pendant drop curvature. Langmuir 9 (1993) 3691-3694
12. Engl H.W., Hanke M., and Neubauer A. Regularization of Inverse Problems (2000), Kluwer, Dordrecht
13. Lubansky A.S., Yeow Y.L., Leong Y.K., Wickramasinghe S.R., and Han B.B. A general method of computing the derivative of experimental data. AIChE J. 52 (2006) 323-332
14. Yeow Y.L., McGowan K.L., Ong S.I., and Leong Y.K. Applying Tikhonov regularization to process pendant droplet tensiometry data. Langmuir 21 (2005) 11241-11250
15. Burkill J.C. A First Course in Mathematical Analysis (1978), Cambridge University Press, Cambridge
16. Bashforth F., and Adams J.C. An Attempt to Test the Theories of Capillary Action (1883), Cambridge University Press, Cambridge
17. Yeow Y.L., Wickramasinghe S.R., Han B.B., and Leong Y.K. A new method of processing the time-concentration data of reaction kinetics. Chem. Eng. Sci. 58 (2003) 3601-3610
18. Lin S.Y., Chen L.J., Xyu J.W., and Wang W.J. An examination on the accuracy of interfacial-tension measurement from pendant drop profiles. Langmuir 11 (1995) 4159-4166
19. Morita A.T., Carastan D.J., and Dermarquette N.R. Influence of drop volume on surface tension evaluated using the pendant drop method. Colloid Polym. Sci. 280 (2002) 857-864
20. Wilkinson M.C. Extended use of, and comments on, the drop-weight (drop-volume) technique for the determination of surface and interfacial tensions. J. Colloid Interf. Sci. 40 (1972) 14-26
21. Gunde R., Kumar A., Lehnert-Batar S., Mäder R., and Windhab E.J. Measurement of the surface and interfacial tension from maximum volume of a pendant drop. J. Colloid Interf. Sci. 244 (2001) 113-122
22. Wahba G. Spline Models for Observational Data (1990), SIAM, Philadelphia