Chapter 20, Problem 56P

The relationship between stress $\tau$ and the shear strain rate $\stackrel{\dot{}}{\gamma }$ for a pseudoplastic fluid (see Prob. 20.55) can be expressed by theequation $\tau =\mu {\stackrel{\dot{}}{\gamma }}^n$. The following data come from a 0.5% hydroxethylcellulose in water solution. Using a power-law fit, find thevalues of $\mu \text{ and }n$.

Stress strain rate $\stackrel{\dot{}}{\gamma },1/\text{s}$	50	70	90	110	130
Shear strain rate $\tau ,{\text{N/m}}^2$	6.01	7.48	8.59	9.19	10.21