Biomedical Engineering Reference
In-Depth Information
Figure 6.41
Calculated trajectories of particles (100-nm diameter) transported by a buffer fluid
flow (500
m
m/s) in a 50-mm radius capillary tube.
It is interesting to compare these results to that of Figure 6.24 obtained by solv-
ing the advection-diffusion equation for the concentration. In Figure 6.45, we have
placed the particles on the concentration contour lines. The comparison is rather good;
Monte Carlo computation for more particles would have been still more accurate.
6.3.2.3 BRW in a Recirculating Chamber
The scope of BRW modeling can be extended by interfacing the BRW algorithm to
the flow field calculated by a finite element model [16]. It can be shown that the
method is equivalent to the full coupled advection and diffusion system, but brings
a new light to the diffusion of species in a carrier flow (Figures 6.46 and 6.47).
6.3.2.4 3D Modeling of BRW
A similar interfacing BRW model—(6.103)—with a 3D FEM brings gives interest-
ing insights to the advection of particles by a carrier liquid. In Figure 6.48 we show
the typical results obtained with this method.
Figure 6.42
Calculated location of the particles at a given time. Note the similarity with
Figure 6.18.
