Problem: Suppose a blood vessel's radius is decreased to 87% of its original value by plaque deposits and the body compensates by increasing the pressure difference along the vessel to keep the flow rate constant. By what factor must the pressure difference increase?

FREE Expert Solution

Poiseuille’s law:

Q=πPr48ηl, where Q is the flow rate, P is pressure, r is the radius, η is fluid viscosity, and l is the length of tubing. 

In this question, flow rate Q, fluid viscosity η, and the length of the tubing l, are kept constant.

81% (342 ratings)
View Complete Written Solution
Problem Details

Suppose a blood vessel's radius is decreased to 87% of its original value by plaque deposits and the body compensates by increasing the pressure difference along the vessel to keep the flow rate constant. By what factor must the pressure difference increase?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Viscous Flow & Poiseuille's Law concept. If you need more Viscous Flow & Poiseuille's Law practice, you can also practice Viscous Flow & Poiseuille's Law practice problems.