First-order fluid
Encyclopedia
A first-order fluid is another name for a power-law fluid
with exponential dependence of viscosity
on temperature
.
where
is the shear rate, T is temperature and 
, n and b are coefficients.
The model can be re-written as
Power-law fluid
A Power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid for which the shear stress, τ, is given by\tau = K \left^n where:...
with exponential dependence of viscosity
Viscosity
Viscosity is a measure of the resistance of a fluid which is being deformed by either shear or tensile stress. In everyday terms , viscosity is "thickness" or "internal friction". Thus, water is "thin", having a lower viscosity, while honey is "thick", having a higher viscosity...
on temperature
Temperature
Temperature is a physical property of matter that quantitatively expresses the common notions of hot and cold. Objects of low temperature are cold, while various degrees of higher temperatures are referred to as warm or hot...
.
where
is the shear rate, T is temperature and , n and b are coefficients.The model can be re-written as