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
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