The Temperature Field in a Tube’s Coating

To describe the temperature field in a tube’s coating we choose a system of polar coordinates with O as the initial point and write Laplace’s equation in the polar coordinates assuming that the process is stationary [7]:

image079

(12)

 

image080

(13)

(14)

(15)

(16)

(17)

 

image081

d© 2jf>1,pP = Q (p <ф<п-ф1); dp

d©2d(/?1,p) = 0 {n + p1 <p< 2п-ф1);

dp

 

image082

image083

image084 Подпись: (18)

Applying the Fourier method of separation of variables [8] one obtains:

where k is a positive integer.