1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

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510 CHAPTER 11 • APPLICATIONS OF HARMONIC FUNCTIONS



  1. Use a Schwarz-Christoffel transformation to find a conformal mapping w = S ( z)
    that will map the flow in the upper half-plane onto the flow from a channel into a
    quadrant, as indicated in Figure 11.105.


tiiliiiS~fo •.x~t.f.'1
Figure 11.105


  1. Use a Schwarz-Christoffel transformation to find a conformal mapping w = S (z)
    that will map the flow in the upper half-plane onto the flow from a channel into a
    sector, as indicated in Figure 11.106.


Figure 11.106


  1. Use a Schwarz-Christoffel transformation to find a conformal mapping w = S (z)
    that will map the flow in the upper half-plane onto the flow in a right-angled
    channel indicated in Figure 11.107.


Figure 11.107
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