1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

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  1. ll • SOURCES AND SINKS 507


Figure 11 .98 Effluence from a channel into a half-plane.


-------•EXERCISES FOR SECTION 11.11



  1. Let the coordinate axes be walls of a containing vessel for a fluid flow in the first
    quadrant that is produced by a source of unit strength located at z 1 = 1 and a sink
    of unit strength located at z2 = i. Show that F (z) = log z: -^1 is t he complex
    z + l
    potential for the flow shown in Figure 11.99.


Figure 11. 99


  1. Let the coordinate axes be walls of a containing vessel for a fluid flow in the first
    quadrant that is produced by two sources of equal strength located at the points
    z1 = 1 and z2 = i. Find t he complex potential F (z) for the flow in Figure 11.100.


Figure 11. l 00
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