# Poiseuille’s equation does not hold if the flow velocity

## Problem 57P Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 57P

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 as

,

where  is the average speed of the fluid, ρ is its density, η 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 = 1.2 cm) during the resting part of the heart’s cycle is about 40cm/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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Dudaie 1 Physics II­ Chapter 21 Chapter 21­ Electric Current & Direct­Current Circuits 1. Electric Current a. The flow of electric charge from one place to another is known as electric current i. I=∆Q/∆ t 1. 1 A= 1C/s} ampere or amp b. Often charge is carried by electrons...

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##### ISBN: 9780130606204

This full solution covers the following key subjects: flow, speed, Blood, Reynolds, turbulent. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 57P from 10 chapter was answered, more than 259 students have viewed the full step-by-step answer. Physics: Principles with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780130606204. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. The answer to “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 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 (r = 1.2 cm) during the resting part of the heart’s cycle is about 40cm/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.” is broken down into a number of easy to follow steps, and 123 words. The full step-by-step solution to problem: 57P from chapter: 10 was answered by Sieva Kozinsky, our top Physics solution expert on 03/03/17, 03:53PM.

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