Physics:First-order fluid

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

[math]\displaystyle{ \mu_\mathrm{eff}(\dot \gamma, T) = \mu_0 {\dot \gamma}^{n-1} \exp (-bT) }[/math]

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

The model can be re-written as

[math]\displaystyle{ \mu_\mathrm{eff}(\dot \gamma, T) = \exp \left( A_0 + A_1 \ln \dot \gamma + A_2 T \right) }[/math]