Q$9)$ A highly shear thinning polymer solution is extruded through a capillary

rheometer of $5mm$ diameter at $190C$ at a flow rate of $19\mathrm{.}6{10}^{-6}\frac{m^3}{s}.$ A cone

and plate rheometer used to characterise this solution at $190C$ gives the

following data:

Develop a suitable flow behaviour model to characterise this polymer solution in

the above capillary tube for application in the given flow condition.