/5.

 

Baimankulov A.

Kostanay State University named after A.Baitursynov, Kazakhstan

 

Conjugate problem of determining heat exchange coefficient

 

The following problem is

, , (1)

, , . (2)

We will seek a generalized heat transfer coefficient. The problem is solved by iterative method.

Iteration parameter values ​​for problem (1) - (2) can be written as

,

, , .

Then using the expression difference

.

obtain intermediate problem

, (3)

, , . (4)

Multiplying (3) by an arbitrary function and integrate from 0 to H, by from 0 to . After a single integration by parts and the variables and we obtain

.

Assuming that , and using (4), we make the appropriate conversions.

Then there will be a expression

 

.

If we assume further that

,

.

Then

(5)

In the process of calculating the conjugate problem is obtained

, , (6)

, . (7)

References

1. .., .. . // . , 6, 1966.

2. . // , 2008, 1, . 62-65

3. .. .// , 2008, 3, .45-47.