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surface shear viscosity

Also contains definitions of: area viscosity, surface dilatational viscosity

For steady state deformations a surface shear viscosity η s, and an area viscosity or surface dilatational viscosity ζ s can be defined. In a Cartesian system with the x-axis normal to the surface, they are defined by the equations:
η s = σ x y ∂ v y ∂ v x
ζ s = Δ γ d ( ln A ) d t
where σ x y is the shear component of the surface stress tensor, v x and v y are the x and y components of the surface velocity vector, respectively, A is the surface area, t is the time, and Δ γ is the difference between the (steady state) dynamic surface tension and the equilibrium surface tension.
Source:
PAC, 1979, 51, 1213 (Manual of symbols and terminology for physicochemical quantities and units. Appendix II: Definitions, terminology and symbols in colloid and surface chemistry. Part 1.13. Selected definitions, terminology and symbols for rheological properties) on page 1218
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IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. doi:10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: doi:10.1351/goldbook.S06189.
Original PDF version: http://www.iupac.org/goldbook/S06189.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.
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