$2.$ In class, we discussed a simplification of Euler's equation $($derived from the Navier$-$Stokes equations$)$ called Bernoulli's law, which applies in certain situations where flow is inviscid. Briefly discuss the validity of the Bernoulli equation for determining properties $($e$.$g$.$ velocity, pressure$)$ in the physiological situations indicated below. for each situation, indicate the assumptions you would need to make about the flow in order to apply the Bernoulli equation, and then comment on the validity of those assumptions.

a$.)$ A certain section of blood vessel is stenosed. By measuring the in vivo flow velocity before and after the stenosis, you would like to calculate the pressure at the stenosis.

Fluid should be incompressible $($blood assumption$)$

steady $($in smaller vessels esp. distal from heart$)$

have no viscosity $($due to stenosed region$)$

turbulent flow $($invalidates use of Bernouellis eq$.)$

Benouellis equation would NOT be applicable in stenosed vessels due to lack of laminar flow and assumption of non$-$viscosity.