First-order Fluid

A first-order fluid is another name for a power-law fluid 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 on ...

. :

\mu_\mathrm(\dot \gamma, T) = \mu_0 ^ \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(\dot \gamma, T) = \exp \left( A_0 + A_1 \ln \dot \gamma + A_2 T  \right)

Non-Newtonian fluids {{Physics-stub