Viscosity Turns Rate into Stress - Biophysical Continuum Mechanics and Viscoelastic Flow Step by Step

A toy viscosity maps a checked shear rate into checked stress. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

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The viscosity is 4 Pa*s and the checked shear rate is 2 reciprocal seconds.

4\ \text{Pa*s}\quad2\ \text{reciprocal seconds}

Viscosity times rate is stress

The viscous stress is 8 Pa.

4\cdot2=8\ \text{Pa}