APPLICATION OF AXISSYMMETRIC PROFILE ANALYSIS FOR MEASURING SURFACE TENSION AT HARMONIC SURFACE OSCILLATIONS
Keywords:
drop shape equation, nonlinear optimization, search for minimum distance, profile analysis tensiometry, surface tension oscillation.Abstract
The profile analysis tensiometry as a development of the standard analysis of axissymmetric drop shape was used for measuring the surface tension of drops and bubbles of different configurations. A “Quick Search” algorithm was applied to calculate the orthogonal distance between the experimental profile points and the theoretical profile. An acceptable stability of the results was established in a range for up to 60% of drop/bubble volume changes. The parameters of the surface visco-elasticity were estimated on the basis of these surface tension measurements.
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References
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2. Bashforth F., Adams J.C., An Attempt to Test the Theories of Capillary Action, Cambridge: University Press, 1883, 140 p.
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6. Press W.H, Teukolsky S.A., Vetterling W.T., Flannery B.P. (2007), Numerical Recipes: The Art of Scientific Computing, 3rd ed., New York: Cambridge University Press, ISBN 978-0-521-88068-8.
7. Levenberg K., A Method for the Solution of Certain Non-Linear Problems in Least Squares, The Quarterly of Applied Mathematics, 2 (1944) 164.
8. Marquardt D., An Algorithm for Least-Squares Estimation of Nonlinear Parameters, SIAM Journal on Applied Mathematics, 11 (1963) 431.
9. S. Brandt, Data Analysis, 3rd ed., New York: Springer, 1999.
10. Sameh M.I.Saad, Polikova Z., Neumann A.W., Colloids and Surface A, Physicochem. Eng. Aspects, 384(2011)442-452.
11. R. Miller, C. Olak and A.V. Makievski, SÖFW-Journal, 130 (2004) 2.
12. Zholob S.A., Kovalchuk V.I., Makievski A.V., Krägel J., Fainerman V.B. and Miller R., Determination of the dilational elasticity and viscosity from the surface tension response to harmonic area perturbations, in “Interfacial Rheology”, Vol. 1, Progress in Colloid and Interface Science, R. Miller and L. Liggieri (Eds.), Brill Publ., Leiden, 2009, p. 77-102.
13. V.B. Fainerman and R. Miller, Direct determination of protein and surfactant adsorption by drop and bubble profile tensiometry, in “Bubble and Drop Interfaces”, Vol. 2, Progress in Colloid and Interface Science, R. Miller and L. Liggieri (Eds.), Brill Publ., Leiden, 2011, p. 179-193.
2. Bashforth F., Adams J.C., An Attempt to Test the Theories of Capillary Action, Cambridge: University Press, 1883, 140 p.
3. Rotenberg,Y., Boruvka, L. and Neumann, A.W. "Determination of Surface Tension and Contact Angle from the Shapes of Axisymmetric Fluid Interfaces", J. Colloid Interface Sci. 93, pp. 169-183, 1983.
4. Knuth D., The Art of Computer Programming, Volume 3: Sorting and Searching, 3rd ed., Addison-Wesley, 1997.
5. Zholob S.A., Makievski A.V., Miller R. and Fainerman V.B., Advances in calculation methods for the determination of surface tensions in drop profile analysis tensiometry, in “Bubble and Drop Interfaces”, Vol. 2, Progress in Colloid and Interface Science, R. Miller and L. Liggieri (Eds.), Brill Publ., Leiden, 2011, 39-60.
6. Press W.H, Teukolsky S.A., Vetterling W.T., Flannery B.P. (2007), Numerical Recipes: The Art of Scientific Computing, 3rd ed., New York: Cambridge University Press, ISBN 978-0-521-88068-8.
7. Levenberg K., A Method for the Solution of Certain Non-Linear Problems in Least Squares, The Quarterly of Applied Mathematics, 2 (1944) 164.
8. Marquardt D., An Algorithm for Least-Squares Estimation of Nonlinear Parameters, SIAM Journal on Applied Mathematics, 11 (1963) 431.
9. S. Brandt, Data Analysis, 3rd ed., New York: Springer, 1999.
10. Sameh M.I.Saad, Polikova Z., Neumann A.W., Colloids and Surface A, Physicochem. Eng. Aspects, 384(2011)442-452.
11. R. Miller, C. Olak and A.V. Makievski, SÖFW-Journal, 130 (2004) 2.
12. Zholob S.A., Kovalchuk V.I., Makievski A.V., Krägel J., Fainerman V.B. and Miller R., Determination of the dilational elasticity and viscosity from the surface tension response to harmonic area perturbations, in “Interfacial Rheology”, Vol. 1, Progress in Colloid and Interface Science, R. Miller and L. Liggieri (Eds.), Brill Publ., Leiden, 2009, p. 77-102.
13. V.B. Fainerman and R. Miller, Direct determination of protein and surfactant adsorption by drop and bubble profile tensiometry, in “Bubble and Drop Interfaces”, Vol. 2, Progress in Colloid and Interface Science, R. Miller and L. Liggieri (Eds.), Brill Publ., Leiden, 2011, p. 179-193.
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Published
2012-11-15
How to Cite
Жолоб, С. А., Makievski, A. V., Miller, R., & Файнерман, В. Б. (2012). APPLICATION OF AXISSYMMETRIC PROFILE ANALYSIS FOR MEASURING SURFACE TENSION AT HARMONIC SURFACE OSCILLATIONS. METHODS AND DEVICES OF QUALITY CONTROL, (2(29), 25–32. Retrieved from https://mpky.nung.edu.ua/index.php/mpky/article/view/48
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Section
MEASUREMENT OF PHYSICAL AND MECHANICS PARAMETERS OF SUBSTANCES
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