Upon inserting a catheter into the aorta, the blood flow must pass around the catheter. Assume that the catheter is placed directly in the centerline of the flow field (and is not moving; see Figure below) and derive an expression for the velocity profile assuming that the flow is only pressure driven (i.e. gravity can be neglected). The outer radius of the aorta is R and the outer radius of the catheter is kR. a.) Write the relevant Navier-Stokes equation for this problem and determine which term(s) can be eliminated. Write a brief justification (

R KR