title: First-order fluid
text: # First-order fluid
  
  A first-order fluid is another name for a power-law fluid with exponential dependence of viscosity on temperature.
  
      $\mu _{\mathrm {eff} }({\dot {\gamma }},T)=\mu _{0}{\dot {\gamma }}^{n-1}\exp(-bT)$
  
  where γ̇ is the shear rate, T is temperature and $μ_0,$ n and b are coefficients.
  
  The model can be re-written as
  
      $\mu _{\mathrm {eff} }({\dot {\gamma }},T)=\exp \left(A_{0}+A_{1}\ln {\dot {\gamma }}+A_{2}T\right)$
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