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Physics, 12.11.2020 18:50 gonzalesnik

Poiseuille's equation does not hold if the flow velocity is high enough that turbulence sets in. The onset of turbulence occurs when the Reynolds number, Re , exceeds approximately 2000. Re is defined asRe=2v¯rrhoη , where v¯ is the average speed of the fluid, rho is its density, η is its viscosity, and r is the radius of the tube in which the fluid is flowing.1. Calculate the Reynolds number and determine if blood flow through the aorta is laminar or turbulent when the average speed of blood in the aorta (r = 0.74 cm ) during the resting part of the heart's cycle is about 39 cm/s .2. During exercise, the blood-flow speed approximately doubles. Calculate the Reynolds number in this case, and determine if the flow is laminar or turbulent.

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