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Consider a newborn with Patent Ductus Arteriosus (PDA), where the pressure inside the arc of aorta and the pulmonary artery are 120/70mmHg and 20/0mmHg, respectively.

Consider a newborn with Patent Ductus Arteriosus (PDA), where the pressure inside the arc of aorta and the pulmonary artery are 120/70mmHg and 20/0mmHg, respectively. (a) Derive the velocity profiles during systole and diastole within the PDA, if the diameter and the length of the Ductus Arteriosus are 5.0mm and 25.0mm, respectively. Assume Poiseuille flow with no-slip condition on the ductus walls (blood=3.2cP; 1mmHg=1333dyne/cm2). (b) What is the volumetric flow rate during each phase?

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