3-113
"GIVEN"
k_spoon=8.7 "[Btu/h-ft-F], parameter to be varied"
T_w=200 "[F]"
T_infinity=75 "[F]"
A_c=0.08/12*0.5/12 "[ft^2]"
"L=7 [in], parameter to be varied"
h=3 "[Btu/h-ft^2-F]"
"ANALYSIS"
p=2*(0.08/12+0.5/12)
a=sqrt((h*p)/(k_spoon*A_c))
(T_tip-T_infinity)/(T_w-T_infinity)=cosh(a*(L-x)*Convert(in, ft))/cosh(a*L*Convert(in, ft))
x=L "for tip temperature"
DELTAT=T_w-T_tip
kspoon [Btu/h.ft.F]
5
16.58
28.16
39.74
51.32
62.89
74.47
86.05
97.63
109.2
120.8
132.4
143.9
155.5
167.1
178.7
190.3
201.8
213.4
225
∆T [F]
124.9
122.6
117.8
112.5
107.1
102
97.21
92.78
88.69
84.91
81.42
78.19
75.19
72.41
69.82
67.4
65.14
63.02
61.04
59.17
kspoon [Btu/h.ft.F]
5
5.5
6
6.5
7
7.5
8
8.5
9
9.5
10
10.5
11
11.5
∆T [F]
122.4
123.4
124
124.3
124.6
124.7
124.8
124.9
124.9
125
125
125
125
125
12
125
130
120
110
100
∆ T [F]
90
80
70
60
50
0
45
90
135
180
k spoon [Btu/h-ft-F]
125.5
125
124.5
∆ T [F]
124
123.5
123
122.5
122
5
6
7
8
9
L [in]
10
11
12
225