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2.3.1Ideal-viscous flow behavior a) Viscosity law

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Formally, ideal-viscous flow behavior is described by the viscosity law:

Equation 2.11

τ = η ⋅ γ ̇

Isaac Newton (1643 to 1727) wrote in 1687 in his textbook Principia [2.18] in a quite inaccurate form about the flow resistance of liquids (“defectus lubricitatus”; see also Chapter 14.1: 1687). Therefore, and especially in English spoken countries, ideal-viscous flow behavior often is also called Newtonian flow behavior. In rheology, both terms have the same meaning. Based on later research on fluid dynamics by D. Bernoulli (in 1738, Hydrodynamica [2.19]), L. Euler (in 1739/1773, Scientia Navalis, and Construction des vaisseaux [2.20]), Joh. Bernoulli (in 1740, Hydraulica [2.21]), and C. L. M. H. Navier (in 1823 [2.22]), finally G. G. Stokes (in 1845 [2.12]) stated the modern form of what was called later Newton’s viscosity law. Therefore sometimes, the viscosity law is also termed the “Newton/Stokes law” [2.23].

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