(II) Poiseuille's equation does not hold if the flow velocity is high enough that turbulence sets in. The onset of turbu- lence occurs when the Reynolds number, Re, exceeds approximately 2000. Re is defined as 2vrp Re = where v is the average speed of the fluid, p is its density, ŋ 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 (r = 0.80 cm) during the resting part of the heart's cycle is about 35 cm/s. (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.

(II) Poiseuille's equation does not hold if the flow velocity is high enough that turbulence sets in. The onset of turbu- lence occurs when the Reynolds number, Re, exceeds approximately 2000. Re is defined as 2vrp Re = where v is the average speed of the fluid, p is its density, ŋ 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 (r = 0.80 cm) during the resting part of the heart's cycle is about 35 cm/s. (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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

(II) Poiseuille's equation does not hold if the flow velocity
is high enough that turbulence sets in. The onset of turbu-
lence occurs when the Reynolds number, Re, exceeds
approximately 2000. Re is defined as
2vrp
Re =
where v is the average speed of the fluid, p is its density, ŋ 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 (r = 0.80 cm) during the resting part of the heart's cycle
is about 35 cm/s. (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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