
Radiation Heat Transfer 339
TABLE 13.4
View Factor for Some Three-Dimensional Geometries
XXLYYL
F
XY
XY
XY
ij
==
=
++
++
/, /
ln
()()211
1
22
22
π
++
+
++
−
12
2121
212
2
1
1
1
/
/
/
()tan
()
(
XY
X
Y
YX
))tan
()
tantan
/
−−−
+
−−
1
212
11
1
Y
X
XXYY
XXLYYL
F
X
Y
Y
X
X
YX
X
Y
ij
==
=+−
+
−−
/, /
tantan
()
π
11
2
11
112
1
212
222
1
1
4
1
/
/
tan
()
ln
()()
(
X
X
Y
XYX
X
+
+
++
−
222 2
22 2
222
1
1
1
++
++
++
YX
XY Y
XYY
)
()
()()
++
++
YX X
XY
XY
22 2
22
22
1
1
11
//
()()
RrLRrL
S
R
R
FSSrr
ii jj
j
i
ij j
==
=+
+
=−−
/, /
/
1
1
1
2
4
2
2
2
ii
(
)
{}
2
12/
FIGURE 13.12 Symmetry rule for view factors applies between surface 1 and surfaces 2
and 3 in these symmetric geometries.
K10756.indb 339 11/14/09 1:39:44 PM