Computational transport processes for micromixers* - Micromixers Fundamentals Design and Fabrication - page 83

FIGURE 3.3

Partition of the domain of interest into nonoverlapping control volumes.

Extension to three dimensions is straightforward. The physical domain is first partitioned into
a number of nonoverlapping control volumes (CVs), as shown in Fig. 3.3 . A node is located at the
center of every CV. For the CV labeled P, the neighboring nodes are denoted as W, E, N, and S as
shown in Fig. 3.4 . This CV has four boundaries, denoted by e, w, n, and s (with area of A e , A w , A n ,
and A s , respectively).

y are the length and height of the CV. dx and dy are the distances
between grid points. The scalar variable, such as pressure, temperature, and electrical potential, are
stored at the node P. Velocity components are stored at the CV boundaries. While u is staggered
half a CV to the left, v is staggered half a CV downward. A staggered grid is adopted to avoid the

D x and D

FIGURE 3.4

A staggered grid arrangement for the P control volume.