   Chapter 12, Problem 32PE

Chapter
Section
Textbook Problem

The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?

(a)

To determine

The net force on the blood.

Explanation

Given:

Radius of artery =r=10 mm = 10×103 m                  (Since 1mm = 103 m)

Area of cross-section =A

Net force on the blood =F=?

Pressure drop =ΔP=100 Pa

Formula Used:

Area of cross-section is given as

A=πr2

Net force is given as

F= ΔA

Calculation:

Area of cross-section is given as

A=πr2

Inserting the values

A=(3

(b)

To determine

The power expended in maintaining the speed.

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