Solved: Poiseuilles equation does not hold if the flow
Chapter 10, Problem 10.63(choose chapter or problem)
Poiseuilles 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 as where is the average speed of the fluid, is its density, is its viscosity, and r is the radius of the tube in which the fluid is flowing. (a) Determine if blood flow through the aorta is laminar or turbulent when the average speed of blood in the aorta during the resting part of the hearts cycle is about (b) 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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