An artificial lung is used during cardiopulmonary bypass to oxygenate blood
and to control blood temperature. The pressure drop-flow rate characterist
ics of the membrane compartment in three hollow fiber membrane oxygenators
were determined in vitro to characterize design features. Results are prese
nted in a unique dimensionless relationship between Euler number, N-Eu (rat
io of pressure drop to kinetic energy), and Reynolds number, N-Re (ratio of
inertial to viscous forces), and are a function of the device porosity, ep
silon, and a characteristic device length, xi, defined as the ratio of the
mean blood path and manifold length:
N-Eu . xi/epsilon(2) = alpha + beta/N-Re . epsilon . (1 - epsilon)
This dimensionless approach allows us (1) to compare oxygenators independen
tly, and (2) to relate water tests to blood.