Abstract
FOR a sessilo drop of liquid of surface tension, density and radius of curvature R0 at the vertex, the differential equation1: for drop shape (Fig, 1) in terms of the co-ordinates measured from the vertex and scaled with respect to R0, has recently been solved numerically on a digital computer by Staicopolus2 and the Fortran II programme is available. The method used is more accurate than the elaborate approximation procedure of Bashforth and Adams1 and, although not mentioned by Staicopolus, the results are also more accurate than Porter's3 values of γ/ρgr as a function of h/r. The results allow γ and r/R0 to be related to h and r through a polynomial expression in z = (r/h − A)/C.
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References
Bashforth, F., and Adams, J. C., Theories of Capillary Action (Camb. Univ. Press, 1883).
Staicopolus, D. N., J. Coll. Sci., 17, 439 (1962).
Porter, A. W., Phil. Mag., 15, 163 (1933).
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Lord, Rayleigh, Proc. Roy. Soc., A, 92, 184 (1915).
Krug, W., and Lau, E., Ann. der Physik, 8, 329 (1951).
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THORNTON, B. Measurement of Surface Tension by Interferometric Means. Nature 200, 1000–1001 (1963). https://doi.org/10.1038/2001000a0
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DOI: https://doi.org/10.1038/2001000a0