Shear rate dependence of non‐Newtonian viscosity of fluidsa)

A pair of analytic formulas for the shear viscosity of simple fluids are derived from kinetic equations as functions of shear rate (γ), temperature, and density. One of the formulas is of the form η=η0 ln[τχ+(1+τ2χ2)1/2]/(τχ), where χ=√2γ and τ is a function of Newtonian shear viscosity η0, temperature, and density. The shear viscosities calculated with the formulas compare well with the molecular dynamics shear viscosities of argon.