In rigid tubes with laminar flow and Newtonian fluids (the arterial system fulfills only the criterion for laminar flow), the following physical laws apply:

the Hagen-Poiseuille law
$$I=\frac{\Delta p\cdot {{r}^{4}}\cdot \pi }{8\cdot \eta \cdot L}$$
where I = the volume flow, which is measured in ml/min, ... p = the difference between the pressure at the beginning and at the end of the tube, r = the radius, π = the viscosity of the blood, η= a constant, and L = the length of the tube. The volume flow I = volume per time (t) and the volume is the product of the cross-section of the tube Q and the length.


Laminar Flow Volume Flow Newtonian Fluid Collateral Circulation Pulsatile Flow 
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Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • Albrecht G. Harders
    • 1
  1. 1.Neurochirurgische Universitätsklinik Freiburg i. Br.Federal Republic of Germany

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