TABLE 12.1
View Factors for 2-D Geometries
Geometry
Relation
Parallel plates with midlines
[(W i + W j ) 2 + 4] 1/2 − [(W j − W i ) 2 + 4] 1/2
connected by perpendicular
F ij =
2W i

w i
W i = w i /L, W j = w j /L

i
L
j
w j
( )
α
Inclined parallel plates of equal width
F ij = 1 − sin 2
and a common edge
j
w
α
i
w
1 + (w j /w i ) − [1 + (w j /w i ) 2 ] 1/2
Perpendicular plates with a common
F ij =
2
edge
j
w j
i
w i
w i + w j − w k
Three-sided enclosure
F ij =
2w i
w j
w k k
j
i
w i
{
Parallel cylinders of different radii
1 π + [C 2 − (R + 1) 2 ] 1/2 − [C 2 − (R − 1) 2 ] 1/2
F ij =
2π
�� � � ��
R
1
−1
+(R − 1) cos
−
r j
C
C
r i
�� � � ���
R
1
−1
−(R + 1) cos
+
C
C
i
j
R = r j /r i , S = s/r i
C = 1 + R + S
S
View Factor
247
continued