Mathematics and Biology

Graph of Radial Dependence Viscosity Dependence

Math Awareness Month 1999

Poiseuille's Law: Radial Dependence

We further explore flow by finally varying the radius. Setting the other parameters to the typical values of P=50 mmHg, n=0.05 P, and L=0.5 cm, Poiseuille's Law becomes
Q = 104.694 a4
where the radius is measured in millimeters (mm). The blood flow is proportional to the fourth power of radius. This is known as a power law.

To explore the consequences of the power law, you may continue through the following subcategories:


M & B Home | Previous | Next Subcategory | Next Category


D. Brian Walton is supported by a National Science Foundation Graduate Research Fellowship.