Mathematics and Biology

Graph of Viscosity Relation Pressure Dependence

Math Awareness Month 1999

Poiseuille's Law: Viscosity Dependence

We continue to explore flow by now varying the viscosity. Setting the other parameters to the typical values of P=50 mmHg, d=0.03 mm, and L=0.5 cm, Poiseuille's Law becomes

where n measures viscosity in Poise (no conversion needed). The blood flow is inversely proportional to the viscosity.

To explore the consequences of inverse proportionality, you may continue through the following subcategories:


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