Streamfunction and Complex Potential - Environmental Modeling - page 279

200

5.8

150

5.6

100

5.4

50 5.2

5

0

4.8

-50

4.6

-100

4.4

-150

4.2

4

-200

0 50 100 150 200 250 300 350 400

Fig. 15.5 Bank filtration example plot (for a x ¼ 100 m, A x ¼ -10 6 m 2 /s, Q ¼ 0.001164 m 3 /s)

4

3

2

1

0

-1

-2

-3

-4

-5

-5 -4 -3 -2 -1 0 1 2 3 4

Fig. 15.6 Image of vortex; filled contours for potential and white contour lines for streamfunction

Those, who do not believe that the procedure works, may evaluate formula ( 15.9 )to
obtain the same result.
Figure 15.6 shows a vortex with circulating flow as another flow pattern which
can be modelled by using the analytical method. The detailed steps of the method
are summarized in Sidebar 15.1.