Problem Solving: Read and analyze the following problems then write your complete solution and emphasize your final answer. 1. Poiseuille's law remains valid as long as the fluid flow is laminar. For sufficiently high speed, however, the flow becomes turbulent, even if the fluid is moving through a smooth pipe with no restrictions. It is found experimentally that the flow is laminar as long as the Reynolds number Nre is less than about 2000: Re= 2vpR/n. Here, v, and pn are respectively, the average speed, density, and viscosity of the fluid, and R is the radius of the pipe. Calculate the highest average speed that blood (p=1060 kg/m³, n = 4.0 x10-3 Pa s) could have and still remain in laminar flow when it flows through the aorta (R = 8.0 x103 m). %3D

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
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Chapter12: Fluid Dynamics And Its Biological And Medical Applications
Section: Chapter Questions
Problem 1CQ: What is the difference between flow rate and fluid velocity? How are they related?
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Problem Solving: Read and analyze the following problems then write your complete solution
and emphasize your final answer.
1. Poiseuille's law remains valid as long as the fluid flow is laminar. For sufficiently high
speed, however, the flow becomes turbulent, even if the fluid is moving through a
smooth pipe with no restrictions. It is found experimentally that the flow is laminar as
long as the Reynolds number NRe is less than about 2000: Re= 2vpR/n. Here , v, and
pn are respectively, the average speed, density, and viscosity of the fluid, and R is the
radius of the pipe. Calculate the highest average speed that blood (p=1060 kg/m³, ŋ=
4.0 x10-3 Pa s) could have and still remain in laminar flow when it flows through the
aorta (R = 8.0 x10-³ m).
Transcribed Image Text:Problem Solving: Read and analyze the following problems then write your complete solution and emphasize your final answer. 1. Poiseuille's law remains valid as long as the fluid flow is laminar. For sufficiently high speed, however, the flow becomes turbulent, even if the fluid is moving through a smooth pipe with no restrictions. It is found experimentally that the flow is laminar as long as the Reynolds number NRe is less than about 2000: Re= 2vpR/n. Here , v, and pn are respectively, the average speed, density, and viscosity of the fluid, and R is the radius of the pipe. Calculate the highest average speed that blood (p=1060 kg/m³, ŋ= 4.0 x10-3 Pa s) could have and still remain in laminar flow when it flows through the aorta (R = 8.0 x10-³ m).
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