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The Reynolds number, Re, is a dimensionless number used to characterize differen

ID: 1266391 • Letter: T

Question

The Reynolds number, Re, is a dimensionless number used to characterize different flow regimes in a fluid. The Reynolds number can be defined as where D is the diameter of the pipe, V is the mean fluid velocity, is the density of the fluid, and is the dynamic viscosity of the fluid. What is the Reynolds number of blood leaving the heart through the aorta if it has a dynamic viscosity of = 4.00 cP (centipoise), a density of = 1053 kg/m3, travels at a mean fluid velocity of V = 35.4 cm/s, and the diameter of the aorta is D = 1.75 cm?

Explanation / Answer

Re =rho*V*D/mu = 1053*0.354*0.0175/0.004 = 163.083375

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