
where
~
T ¼
~
T(t) is the oven temperature (8R)
T
0
is the surrounding temperature (8R)
C is the thermal capacity of the oven
K
c
and K
r
are convective and radiation heat loss coefficients
Simulate the oven’s cooling from an initial temperature of 10008R if the surrounding temperature is
5008R. Numerical values of the thermal parameters are
C ¼ 24 Btu=
R, K
c
¼ 8 Btu=h=
R, K
r
¼ 2 10
8
Btu=h=
R
4
RK-1 through RK-4 integrators were used to numerically integrate the derivative function
f (
~
T) ¼
d
~
T
dt
¼
K
c
C
(
~
T T
0
)
K
r
C
(
~
T
4
T
4
0
)(6:143)
The results are shown in Table 6.4. The integration step size was chosen for each integration
method to make the total number of derivative ...