Calculate the mass flow rate of blood (of density1g/cm 3) in an aorta with a cro

Question

Calculate the mass flow rate of blood (of density1g/cm3) in an aorta with a cross-sectional area of 2cm2 if the flow speed is 43cm/s. I found that to be 86 g/s. This is the part I cannot figure out: Assume that the aorta branches to form a larger number ofcapillaries with a combined cross-sectional area of 2900. What isthe flow speed in the capillaries? Answer in units of mm/s. Calculate the mass flow rate of blood (of density1g/cm3) in an aorta with a cross-sectional area of 2cm2 if the flow speed is 43cm/s. I found that to be 86 g/s. This is the part I cannot figure out: Assume that the aorta branches to form a larger number ofcapillaries with a combined cross-sectional area of 2900. What isthe flow speed in the capillaries? Answer in units of mm/s.

Explanation / Answer

Area A= 2 cm ^ 2

Speed v = 43 cm / s

Area of all capillaries A ‘ = 2900 cm ^ 2

Speed v ‘ = ?

From equation of continuity Av = A’ v ‘

From this v ‘ = Av / A’

                     = 0.0296 cm/ s

                     = 0.296 mm / s

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