1− ε i
(
)
1
1
i i
A F
−
(
)
−1
A i F iN
( A i F i3
J 2
)
−1
( A i F i2 )
−1 J 3
( A i F i(N–1) )
−1
E bi
J i
ε i A i
J N−1
J N
J 1
q i1
q i2
q i3
q i
q ( −
i N 1)
Node corresponding
to the surface i
q i N
–q 2 A 2 T 2 ε 2
–q 2 A 2 T 2 ε 2
2
2
2
1
q 1 A 1 T 1 ε 1
q 1 A 1 T 1 ε 1
–q 2
r 2
A 2 T 2 ε 2
q
q
A 1
q 1
ε 1
T 1
r 2
r 1
r 1
4
4
E b1 = σT 1
E b2 = σT 2
E b1
J 1
J 2
E b2
1– ε 1
1
1– ε 2
A 1 ε 1
A 1 F 12
A 2 ε 2
1
q
–q 2
260
Analytical Heat Transfer
FIGURE 13.2
Network representation of the radiative exchange between surface i and the remaining surfaces
of an enclosure.
FIGURE 13.3
Radiation between a two-surface enclosure.
(
)
1
1
i i
A F
−
(
)
−1
A i F iN
( A i F i3
J 2
)
−1
( A i F i2 )
−1 J 3
( A i F i(N–1) )
−1
E bi
J i
ε i A i
J N−1
J N
J 1
q i1
q i2
q i3
q i
q ( −
i N 1)
Node corresponding
to the surface i
q i N
–q 2 A 2 T 2 ε 2
–q 2 A 2 T 2 ε 2
2
2
2
1
q 1 A 1 T 1 ε 1
q 1 A 1 T 1 ε 1
–q 2
r 2
A 2 T 2 ε 2
q
q
A 1
q 1
ε 1
T 1
r 2
r 1
r 1
4
4
E b1 = σT 1
E b2 = σT 2
E b1
J 1
J 2
E b2
1– ε 1
1
1– ε 2
A 1 ε 1
A 1 F 12
A 2 ε 2
1
q
–q 2
260
Analytical Heat Transfer
FIGURE 13.2
Network representation of the radiative exchange between surface i and the remaining surfaces
of an enclosure.
FIGURE 13.3
Radiation between a two-surface enclosure.