Computational transport processes for micromixers* - Micromixers Fundamentals Design and Fabrication - page 91

FIGURE 3.9

The velocity profiles for a lid-driven cavity flow at Re ¼ 100.

FIGURE 3.10
The velocity profiles for a lid-driven cavity flow at Re ¼ 1000.

3.5.3 Validation - solution procedure of the level-set method
The problem of a rising bubble in a container partially filled with a heavier fluid, as depicted in
Fig. 3.11 , is considered in this validation exercise. The diameter of the bubble is d c ¼ 1.0. As the

bubble rises, the bubble itself deforms, thereby deforming the free surface in the process. Therefore,
both the bubble interface and the free interface are of interest. The governing dimensionless numbers
are the density ratio ( r * ¼ r / r þ ), the viscosity ratio ( m * ¼ m / m þ ), the Reynolds number