First-order Fluid

A first-order fluid is another name for a

power-law fluid __NOTOC__ In continuum mechanics, a power-law fluid, or the Ostwald–de Waele relationship, is a type of generalized Newtonian fluid (time-independent non-Newtonian fluid) for which the shear stress, , is given by :\tau = K \left( \frac \right ...

with exponential dependence of

viscosity The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. Viscosity quantifies the inte ...

temperature Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer. Thermometers are calibrated in various temperature scales that historically have relied o ...

. :

\mu_\mathrm(\dot \gamma, T) = \mu_0 ^ \exp (-bT)

where ''γ̇'' is the

shear rate In physics, shear rate is the rate at which a progressive shearing deformation is applied to some material. Simple shear The shear rate for a fluid flowing between two parallel plates, one moving at a constant speed and the other one stationary ...

, ''T'' is temperature and ''μ''₀, ''n'' and ''b'' are coefficients. The model can be re-written as :

\mu_\mathrm(\dot \gamma, T) = \exp \left( A_0 + A_1 \ln \dot \gamma + A_2 T  \right)

Non-Newtonian fluids {{Physics-stub