Explain why a change in radius as opposed to a change in pressure is the better way to control blood flow.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Explain why a change in radius as opposed to a change in pressure is the better way to control
blood flow.

Expert Solution
Step 1: Hagen-Poiseuille equation

The Hagen-Poiseuille equation which describes the flow of a Newtonian fluid (like blood) through a cylindrical tube is

Q equals fraction numerator pi capital delta P r to the power of 4 over denominator 8 eta L end fraction

Where:

  • is the volumetric flow rate.
  • is the pressure drop along the tube.
  • is the radius of the tube.
  • is the dynamic viscosity of the fluid.
  • is the length of the tube.
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