Project Links Logo Artwork
Heat Conduction
Home > Heat Conduction > Workshop: Examples of 1-D Heat Flow > EX4: Non-Constant Conductivity II
Crib Sheet
Library
Help
Map
Problem List
Module Home
Links Home


conceptsdiscoverapplycollaboratepractice
 
 
go backgo forward
go backgo forward

EX4: Non-Constant Conductivity II

Problem 57:

Show that, after integration of (6.3) and use of the boundary condition , the following equation is obtained.



Equation 90

To simplify the problem, let = . In other words, we take as one of the given boundary temperatures the constant which appears in the - relation (6.1). Substituting for in (6.4), we get



Equation 91

The temperature distribution , is defined implicitly by (6.5) once the value of is known. To find (and thus , the radial rate of heat flow per unit length of the cylinder), we need the boundary condition not yet used, namely, .

Answer

 
 
go backgo forward
go backgo forward