The Carreau-Yasuda model is a popular formulation for representing non-Newtonian fluid behavior. The model is: [mu=left{mu_{infty}+left(mu_{0}-mu_{infty} ight)left[1+(K|dot{gamma}|)^{a}

The Carreau-Yasuda model is a popular formulation for representing non-Newtonian fluid behavior. The model is:

\[\mu=\left\{\mu_{\infty}+\left(\mu_{0}-\mu_{\infty}\right)\left[1+(K|\dot{\gamma}|)^{a}\right]^{\frac{n-1}{a}}\right\}\]

where $\dot{\gamma}$ is the shear rate, $\mu_{0}$ is the viscosity at zero shear rate and $\mu_{\infty}$ is the viscosity at infinite shear rate. One of the composite materials that the Carreau-Yasuda model has been used for is to determine the rheology of blood. Given the data below, fit the Carreau-Yasuda model and determine the values of the parameters.

Viscosity $\left(\mathbf{N s} / \mathbf{m}^{2}\right)$	Shear Rate $(\mathbf{1} / \mathbf{s})$	Viscosity $\left(\mathbf{N s} / \mathbf{m}^{2}\right)$	Shear Rate $(\mathbf{1} / \mathbf{s})$
0.2	0	0.0254	50
0.048	3.33333	0.0244	60
0.04	6.66667	0.0236	70
0.037	10	0.0229	80
0.034	13.3333	0.0223	90
0.033	16.6667	0.0218	100
0.031	20	0.0208	120
0.030	23.3333	0.0202	140
0.029	26.6667	0.0196	160
0.028	30	0.0190	180
0.028	33.3333	0.0186	200
0.027	36.6667	0.0181	230
0.0268	40	0.0176	260
0.0263	43.3333	0.0172	290
0.0259	46.6667	0.0167	320