Holding shear rate fixed makes the viscosity contrast honest. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Hold the shear rate fixed

Both cases use speed difference 8 m/s over gap 4 m, so the rate stays 2 reciprocal seconds.

8/4=28/4=2
Viscous shear ledgerA uniform shear rate and viscosity set viscous stress.speedgapshear ratestress

Double viscosity, double stress

Changing viscosity from 4 to 8 Pa*s changes stress from 8 to 16 Pa.

82=16 Pa8\cdot2=16\ \text{Pa}
Viscous shear ledgerA uniform shear rate and viscosity set viscous stress.speedgapshear ratestress