Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. T1 -T2 L Determine the heat flux, in kW/m?, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 -233.333 9333.32 2 -30 -10 66.667 75466.67 3 70 117.85 160 6400 4 63.85 40 -80 3200 5 -30.15 30 200 8000

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.8P
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Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a
thickness L = 0.3 m, with no internal heat generation.
T1
-T2
L
Determine the heat flux, in kW/m?, and the unknown quantity for each case.
Case
T1(°C)
T2(°C)
dT/dx(K/m)
q (kW/m?)
1
50
-20
-233.333
9333.32
2
-30
-10
66.667
75466.67
3
70
117.85
160
6400
4
63.85
40
-80
3200
5
-30.15
30
200
8000
Transcribed Image Text:Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 40 W/m-K and a thickness L = 0.3 m, with no internal heat generation. T1 -T2 L Determine the heat flux, in kW/m?, and the unknown quantity for each case. Case T1(°C) T2(°C) dT/dx(K/m) q (kW/m?) 1 50 -20 -233.333 9333.32 2 -30 -10 66.667 75466.67 3 70 117.85 160 6400 4 63.85 40 -80 3200 5 -30.15 30 200 8000
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