Introduction

1. Poiseuille’s Equation for Blood FlowJeremy Eiholzer and Nicholas GreggWentworth Institute of Technology, Boston MA This is the Stokes-Navier equation Here w=du/dr Introduction For our project we looked at differential equations describing the rate of blood flow in the circulatory system. Poiseuille’sequation is an equation that measures the flow rate of a fluid through a cylindrical pipe. We can solve this differential equation by having P=1/r and Q=-ΔP/μ and plugging into the equation y=(1/μ)∫(μQdy+c) where μ=e^∫p(x)dx Deriving Poiseuille’s Equation Poiseuille’s Equation is derived from the Stokes-Navier equation for the velocity of blood flow in a cylindrical tube. Poiseuille's Equation ultimately lets you solve for Q which is the rate of blood flow in a cylindrical pipe through an imaginary plane that is perpendicular to the direction of the flow. A typical flow rate during the cardiac cycle Here we set r=0 and C=0 Recall w=du/dr R=R, u=0 For Further Information • Contact us at • eiholzerj@wit.edu or • greggn@wit.edu • Go to www.nicholasgregg.weebly.com to see our poster and our report, as well as our resources. Poiseuille’s Equation