A **Cross fluid** is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the following equation:

where

- is viscosity as a function of shear rate,
- , and
*n*are coefficients.

At low shear rate, cross fluids behave as Newtonian fluids and at high shear rate as power-law fluids.

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“On and on eternally

Shall your altered *fluid* run,

Bud and bloom and go to seed;

But your singing days are done;”

—Edna St. Vincent Millay (1892–1950)

“In ancient times—’twas no great loss—

They hung the thief upon the *cross*:

But now, alas!—I say’t with grief—

They hang the *cross* upon the thief.”

—Anonymous. “On a Nomination to the Legion of Honour,” from Aubrey Stewart’s English Epigrams and Epitaphs (1897)