Example 25.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.2.2_gr_34.gif].   
The image of the upper half-plane  [Graphics:Images/ConformalMapDictionary.2.2_gr_35.gif]  is the portion of the upper half-plane  [Graphics:Images/ConformalMapDictionary.2.2_gr_36.gif]  that lies outside the unit circle  [Graphics:Images/ConformalMapDictionary.2.2_gr_37.gif].  

 [Graphics:Images/ConformalMapDictionary.2.2_gr_38.gif][Graphics:Images/ConformalMapDictionary.2.2_gr_39.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_40.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_41.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_42.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_43.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_44.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_45.gif]

            Figure 11.51  Fluid flow around a circle.  

 

Details 25.

 
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(c) 2008 John H. Mathews, Russell W. Howell