   Chapter 12, Problem 26CQ

Chapter
Section
Textbook Problem

Doppler ultrasound can be used to the speed of blood in the body. If there is a partial constriction of an artery, where would you expect blood speed to be greatest, at or nearby the constriction? What are the two distinct causes of higher resistance in the constriction?

To determine

Whether the blood speed would be greatest at or nearby the constriction and the two distinct causes of higher resistance in the constriction.

Explanation

According to Poiseulle's law discharge,

Q=P2P1R

Here,

• P2 is the temperature at water works.
• P1 is the temperature at water faucet.
• R is the resistance in flow rate.
• Q is the flow rate at discharge.

Rearrange the above expression in terms of pressure difference.

P2P1=RQ

From the above expression, it is clear that the flow rate of the blood is increased on reducing the pressure difference

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