Active micromixers - Micromixers Fundamentals Design and Fabrication - page 276

FIGURE 7.28

Velocity field of the MHD system depicted in Fig. 7.27 .

radius of curvature is b ¼W / R . Normalizing the radial variable by R , the velocity by aR and
applying the no-slip boundary conditions at r * ¼ 1 b and r* ¼ 1 þ b , results in the dimensionless

velocity:

1

r *
1 þ b r * 2

1
8 br *

2 ln 1

b
1 þ b þ

2 ln 1

þ b

2 ln

b 2

y * ð r * Þ¼ Þ r * 2 ð b Þ ð þ b Þ :

1 1 (7.67)

r *

FIGURE 7.29
Model of a EHD flow in an annular microchannel.