Biomedical Engineering Reference
In-Depth Information
Figure 2.19
Highlaminarityofmicrolows.Thedifferentluidstreamslowinparallel,withoutmix-
ing.Notethelocationofthestagnationpointsthatdependonthelowrates.
Stokes formulation for creeping flows is very attractive because an apparently
complex problem can be simplified to a linear formulation. Besides linearity, the
Stokes equation is reversible [24], that is, a change of the velocity
u
to its opposite
-
u
on the boundaries of the domain will result in a change of all the velocities to
their opposite.
An example of this reversibility property can be done by considering a micro-
deflector in a microflow, as sketched in Figure 2.20. The calculation of the flow has
Figure 2.20
Computationaldomainandcalculationgridofa2Dmicrochamberwithadelector.Themaxi-
mumwidthis2mmandthelengthofthechamberis2.6mm.Notethatthemeshingdependsontheshape
ofthesolidwalls.