Sources and Sinks in Two Dimensions  

 

Example 11.33. Show that the complex potential for a fluid flow in the
infinite strip [Graphics:s8.txtgr1.gif] < Re(z) < [Graphics:s8.txtgr2.gif] with a two sources at z = [Graphics:s8.txtgr3.gif] and z = [Graphics:s8.txtgr4.gif] is
F(z) = log([Graphics:s8.txtgr5.gif]).

[Graphics:s8.txtgr7.gif][Graphics:s8.txtgr6.gif]
[Graphics:s8.txtgr7.gif][Graphics:s8.txtgr8.gif]

A graph for the solution is:

A source and sink located on the edges of an infinite strip (upper portion shown).

 

 

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(c) John Mathews, 1998, 2006