Applying Tikhonov regularization to process pendant droplet tensiometry data
Yeow, Y. Leong, McGowan, Krista L., Ong, S. Ian, and Leong, Yee-Kwong (2005) Applying Tikhonov regularization to process pendant droplet tensiometry data. Langmuir, 21 (24). pp. 11241-11250.
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Abstract
The problem of obtaining the first and second derivatives of the profile of a pendant droplet is formulated as an integral equation of the first kind. This equation is solved by Tikhonov regularization in which the method of general cross validation is used to guide the selection of the regularization parameter. These derivatives are converted into mean curvature as a function of droplet height. Surface tension is then obtained by regression computation between the mean curvature and two possible algebraic expressions suggested by the Laplace−Young equation. This way of obtaining surface tension is demonstrated by applying it to a number of published droplet profiles. Some of the problems encountered are discussed and solutions suggested.
| Item ID: | 6766 |
|---|---|
| Item Type: | Article (Research - C1) |
| ISSN: | 1520-5827 |
| Keywords: | modelling; pendant droplet tensiometry; Tikhonov regularization |
| Date Deposited: | 21 Mar 2010 23:03 |
| FoR Codes: | 09 ENGINEERING > 0904 Chemical Engineering > 090499 Chemical Engineering not elsewhere classified @ 60% 03 CHEMICAL SCIENCES > 0306 Physical Chemistry (incl Structural) > 030606 Structural Chemistry and Spectroscopy @ 40% |
| SEO Codes: | 86 MANUFACTURING > 8606 Industrial Chemicals and Related Products > 860699 Industrial Chemicals and Related Products not elsewhere classified @ 100% |
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