Consider steady$-$state blood flow in a $6mm$ diameter, $3cm$ long artery with a pressure gradient of $50$

$P\frac{a}{m}.$ Blood has a yield shear stress of $0\mathrm{.}05$ dynes $\frac{?}{c{m}^2}$ and a viscosity of $3cP[10$ marks$]$

a$)$ Calculate the maximum shear stress in the artery $[3$ marks$]$

b$)$ Based on your calculation, can we assume Newtonian behaviour or not? $[2$ marks$]$

c$)$ c$)$ Calculate the flow rate $Q$ in this artery based on your answer in $b).$ How would the flow change if the fluid was

more non$-$Newtonian and how would you calculate it$?[5$ marks$]$