Cross fluid
In fluid dynamics, a Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the Cross power law equation: μ e f f ( γ ˙ ) = μ ∞ + μ 0 − μ ∞ 1 + ( m γ ˙ ) n {\displaystyle \mu _{\mathrm {eff} }({\dot {\gamma }})=\mu _{\infty }+{\frac {\mu _{0}-\mu _{\infty }}{1+(m{\dot {\gamma }})^{n}}}} where μ e f f ( γ ˙ ) {\displaystyle \mu _{\mathrm {eff} }({\dot {\gamma }})} is viscosity as a function of shear rate, μ ∞ {\displaystyle \mu _{\infty }} is the infinite-shear-rate viscosity, μ 0 {\displaystyle \mu _{0}} is the zero-shear-rate viscosity, m {\displaystyle m} is the time constant, and n {\displaystyle n} is the shear-thinning index. The zero-shear viscosity μ 0 {\displaystyle \mu _{0}} is approached at very low shear rates, while the infinite shear viscosity μ ∞ {\displaystyle \mu _{\infty }} is approached at very high shear rates.