EX3: Non-Constant Conductivity I
Homework 5.5
Equation (5.6) gives the
temperature distribution in an infinite slab of material of thickness
bounded by planes at 0 and whose temperatures are and
. Figure 6 shows that the thermal conductivity
varies with temperature.
can increase or decrease with
or remain relatively constant.
The differential equation, (5.2) was solved to obtain the temperature
distribution, equation (5.6).
What we want to do here is to obtain an equation which
represents the solution for every possible specification of
and
. Note that in this problem
is a linear function of
.
Problem
51 - homework!
:
Make equation (5.6)
dimensionless in terms of
Equation
72
Equation
73
and one dimensionless parameter,
Equation
74
Use equations (5.1)
and (5.3) to represent
and
.
Problem
53 - homework!
:
What is your physical interpretation of the parameter
?
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