A biomedical engineer want to study the flow of blood in a lifelike (i.e., full scale)...

Transcribed Image Text:

A biomedical engineer want to study the flow of blood in a lifelike (i.e., full scale) model of the aortic bifurcation (where the aorta splits to form the vessels that perfuse the legs), but must use a working fluid whose viscosity, is 6cP (centipoise), the viscosity of blood is about 4cP. The densities of the working fluid and blood are both approximately 1 g/ml. The engineer wants to simulate a mean blood flow of 15 ml/sec and a pulse rate of 65 beats/min. Assume the vessel and the model radius are equal. a. What should the mean flow rate (in mL/s) in the model? b. At a particular site in the model, the measured shear stress is 20 dynes/cm2. What would be the shear stress (in dynes/cm?) in the artery at the same site? c. What should be the pulse rate for the model system (beats/min)? A biomedical engineer want to study the flow of blood in a lifelike (i.e., full scale) model of the aortic bifurcation (where the aorta splits to form the vessels that perfuse the legs), but must use a working fluid whose viscosity, is 6cP (centipoise), the viscosity of blood is about 4cP. The densities of the working fluid and blood are both approximately 1 g/ml. The engineer wants to simulate a mean blood flow of 15 ml/sec and a pulse rate of 65 beats/min. Assume the vessel and the model radius are equal. a. What should the mean flow rate (in mL/s) in the model? b. At a particular site in the model, the measured shear stress is 20 dynes/cm2. What would be the shear stress (in dynes/cm?) in the artery at the same site? c. What should be the pulse rate for the model system (beats/min)?