A viscous shear stress equals viscosity times shear rate, so a thicker fluid produces more stress for the same rate. With viscosity 4 Pa*s and shear rate 2 reciprocal seconds, the stress is 4 times 2 = 8 Pa exactly for the stated toy Newtonian model; real viscoelastic flow can have non-Newtonian viscosity, temperature dependence, wall slip, instrument calibration, and measurement uncertainty.

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

Choose a toy viscosity

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

4 Pa*s2 reciprocal seconds4\ \text{Pa*s}\quad2\ \text{reciprocal seconds}
Viscous shear ledgerA uniform shear rate and viscosity set viscous stress.speedgapshear ratestress

Viscosity times rate is stress

The viscous stress is 8 Pa.

4⋅2=8 Pa4\cdot2=8\ \text{Pa}
Viscous shear ledgerA uniform shear rate and viscosity set viscous stress.speedgapshear ratestress