Using separation of variables and Fourier methods, solve the conduction equation and verify that the temperature distribution (12.8.20) in Example 12.4 does indeed satisfy insulated conditions on the circular hole and properly matches conditions at infinity.

Equation 12.8.20

Data from example 12.4

Transcribed Image Text:

7, 0) = 2/7 (r + 47) sint r T(r,0)