$1.$ Blood flows through the aorta $($with radius $2$ cm$)$ at a flow rate of $500$

cm$3/$s$.$

$($a$)$ Assuming that blood has $10$ times the viscosity of water and about the

same density as water, is this flow laminar or turbulent?

$($b$)$ Assuming the flow is laminar, what is the pressure drop per unit length

along the aorta?

$($c$)$ A drug increases the radius of the aorta by $30\%.$ What is the increase in

the flow rate assuming that the pressure drop remains the same?