Physics:First-order fluid

A first-order fluid is another name for a power-law fluid with exponential dependence of viscosity on temperature.

${\mu }_{\mathrm{e}\mathrm{f}\mathrm{f}}(\dot{\gamma },T)={\mu }_0{\dot{\gamma }}^{n-1}\exp (-bT)$

where γ̇ is the shear rate, T is temperature and μ₀, n and b are coefficients.

The model can be re-written as

${\mu }_{\mathrm{e}\mathrm{f}\mathrm{f}}(\dot{\gamma },T)=\exp (A_0+A_1\ln \dot{\gamma }+A_{2}T)$