   Chapter 9, Problem 60P

Chapter
Section
Textbook Problem

The aorta in humans has a diameter of about 2.0 cm, and at certain times the blood speed through it is about 55 cm/s. Is the blood flow turbulent? The density of whole blood is 1 050 kg/m3, and its coefficient of viscosity is 2.7 × 10−8 N · s/m2.

To determine
It is about whether the blood flow is turbulent or not.

Explanation
The Reynolds number is defined as RN=ρvd/η and if the number is RN>3000 , the flow would be turbulent.

Given info: The diameter of the aorta in humans is 2.0cm , the blood speed through it is 55cm/s , the density of whole blood is 1050kg/m3 , and the viscosity of blood is 2.7×103Ns/m2 .

The formula for the Reynolds number is,

RN=ρvdη

• ρ is density of whole blood.
• v is blood speed.
• d is diameter of the aorta.
• η is viscosity of blood.

Substitute 2.0cm for d , 55cm/s for v , 1050kg/m3 for ρ , and 2

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