Surface Tension and Viscosity

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The other day I found myself wondering if surface tension is related to viscosity. Turns out it is, with a precise exponential relationship for any given liquid. Of course both depend upon temperature implicitly, with viscosity and surface tension becoming small near the boiling point, and being large near the freezing point.

gamma is surface tension eta is viscosity

Relation between surface tension and viscosity for a given fluid. Gamma is surface tension.
Eta is viscosity, for the liquid (l) or for the gas (g). A, B and Eta(g) are constants for each fluid.


“Surface Tension-Viscosity Relationship for Liquids.” 
Harold Schonhorn J. Chem. Eng. Data, 1967, 12 (4), pp 524–525
DOI: 10.1021/je60035a016
Publication Date: October 1967