Steady State Temperatures

 

Complex Analysis: Explorations with F(Z)

Complimentary software to accompany the text

Complex Analysis: for Mathematics and Engineering


Page 339, Exercise 10. The temperature in the infinite strip [Graphics:t8.txtgr1.gif] where
[Graphics:t8.txtgr2.gif]

Solution. Use the mapping [Graphics:t8.txtgr3.gif].

The temperature function is:

[Graphics:t8.txtgr5.gif][Graphics:t8.txtgr4.gif]

A graph for the solution is:

Temperature in a horizontal strip.

The figures for this example were drawn using the F(Z) example file: 339P1010.fzw

 

 

(c) John Mathews, 1998