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or, after integrating,
+
8400
4800
0000
0000
0000
0840
0480
0000
k (2)
hS
hta
4(3)
htb
4(3)
=
and, since a = b ,
=
0 . 0579
0 . 0290
8400
41640
0480
0000
0
0
k (2)
hS
50(0 . 5) 2
4(3)(12) 2
.
.
.
0
0290
0
1157
0
0290
0
Btu/(hr- F)
=
0
0
.
0290
0
.
0579
0
0
0
0
0
Likewise, the element edge convection force vector is obtained by integration along the
two edges as
#
%
&
(
1 r
1
0
1
1
f (2)
hS
hT a t
2
+ r
0
0
s
1
=
a d r +
b d s
1
+ s
0
1
1
5 . 9028
11
2
4
2
0
50(68)(0 . 5) 2
2(12) 2
.
8056
=
=
Btu/hr
5
.
9028
0
Identical procedures applied to the appropriate edges of elements 3 and 4 result in
=
0000
0840
04164
0048
0
0
0
0
k (3)
hS
50(0 . 5) 2
4(3)(12) 2
.
.
00
0579
0
0290
0
Btu/(hr- F)
=
00
.
0290
0
.
1157
0
.
0290
0
0
0
.
0290
0
.
0579
=
0000
0000
0084
0048
00
0
0
k (4)
hS
50(0 . 5) 2
4(3)(12) 2
00
0
0
Btu/(hr- F)
=
000
.
0579
0
.
0290
000
.
0290
0
.
0579
0
f (3)
hS
.
5
9028
=
Btu/hr
11
.
8056
5
.
9028
0
0
f (4)
hS
=
Btu/hr
5
.
9028
5
.
9028
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