Assume that blood at a density of 1.06 g/cm3 is flowing through the ascending aorta (diameter 2.5cm) at a time-averaged velocity of 50cm/s. The mean arterial pressure at this location is 100mmHg. If blood were to flow through a 7cm abdominal aortic aneurysm:
a) Calculate the pressure in the aneurysm if the subject is in supine position; show all unit conversion.
b) assuming the maximum diameter of the aneurysm is located 50cm below the ascending aorta, calculate the pressure in the aneurysm if the subject is standing
c)for conditions of vigorous exercise where the blood flow velocity in the ascending aorta increases to 200cm/s, what pressure develops in the aneurysm (in standing position)
d)assuming the aorta transports blood exclusively to the lower extremities, estimate the entry length (under resting conditions) required for flow development if the viscosity of blood can be assumed to be 3.5cP. is the slow fully developed in the aneurysm?
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