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shear viscosity

For a Newtonian fluid, the shear viscosity is often termed simply viscosity since in most situations it is the only one considered. It relates the shear components of stress and those of rate of strain at a point in the fluid by:
σ x y = σ y x = η ( ∂ v x ∂ y + ∂ v y ∂ x ) = 2 η γ . y x
where γ . y x, the shear component of rate of strain is defined as follows:
γ . y x = 1 2 ( ∂ v x ∂ y + ∂ v y ∂ x )
Corresponding relations hold for σ x z and σ y z; σ x y is the component of stress acting in the y-direction on a plate normal to the x-axis; v x, v y, v z are the components of velocity.
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 1216
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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.S05642.
Original PDF version: http://www.iupac.org/goldbook/S05642.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 The PDF version is out of date and is provided for reference purposes only.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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