title: Axisymmetric Drop Shape Analysis (ADSA): An Outline.
abstract: Drop shape techniques for the measurement of interfacial tension are powerful, versatile and flexible. The shape of the drop/bubble depends on the balance between surface tension and external forces, e.g. gravity. This balance is reflected mathematically in the Laplace equation of capillarity. Axisymmetric Drop Shape Analysis (ADSA) is a commonly used drop shape technique. A streamlined version of the development of ADSA over the past several decades is presented to illustrate its validity and range of utility. Several configurations of interest will be considered and presented systematically. Shape and surface tension will be linked to a shape parameter based on proper concepts of differential geometry. The resulting shape parameter will be shown to allow determination of the range of applicability of such a drop shape method.
authors.affiliation: Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario M5S 3G8, Canada.
authors.forename: Sameh M I
authors.initials: SM
authors.lastname: Saad
authors.affiliation: Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario M5S 3G8, Canada. Electronic address: neumann@mie.utoronto.ca.
authors.forename: A Wilhelm
authors.initials: AW
authors.lastname: Neumann
keywords: ADSA; Drop Shape Techniques; Laplacian Profiles; Shape Parameter; Surface Tension Measurements; Total Gaussian Curvature