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Example

Find an equation for the streamlines of the following flow field, also shown in Figure 2.

Draw a few of these streamlines.

  eqnarray220

Substituting equation (41) into equation (40) we get:

eqnarray225

  figure235
Figure 2:   Example of flow streamlines: stagnation flow

eqnarray241

K is an arbitrary constant. Different values of tex2html_wrap_inline1008 correspond to different streamlines (hyperbolae in this case), as shown in Figure 2. The shown flow field is half of the flow field in the vicinity of a stagnation point.



Soon Woong Chang
Thu Sep 23 16:47:16 CDT 1999