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Some mathematical characteristics of menisci and their use in determination of surface tension

✍ Scribed by J. C. Biery

Publisher
American Institute of Chemical Engineers
Year
1970
Tongue
English
Weight
643 KB
Volume
16
Category
Article
ISSN
0001-1541

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✦ Synopsis

Abstract

By expressing the meniscus height and the sine of the angle between the horizontal and a tangent to the meniscus curve as simple exponential functions of radial position, a new calculational procedure for determining surface tensions from menisci has been developed. These simple functions, when combined with the Laplace‐Young equation, generated three useful equations for calculating surface tensions as a function of radial positions. The overall procedure by using the three equations and five smoothing methods was tested on both experimental and calculated menisci. The results from the procedure for the calculated menisci agreed within 1.5% with the original surface tensions used to generate the meniscus. The agreement of values generated with the method and the comparison method previously reported for experimental menisci was within Β±8% in general and within Β±2% for the best formed menisci.

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