Q4/Thin rod positioned between two walls that are held at constant temperatures. Heat flows through the rod as well as between the rod and the surrounding air as shown in Fig. 1. Where T= temperature (C), x distance along the rod (m), ha heat transfer coefficient between the rod and the ambient air (m), and T, the temperature of the surrounding air (C). The governing equation take the following: -T-1 + (2 + h Ax²) T₁-T₁+1 = h Ax²Ta write the equation for each interior nodes (i = 1, 2, and 3). Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method. L il

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Chapter2: Steady Heat Conduction
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Problem 2.21P
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Q4/ Thin rod positioned between two walls that are held at constant temperatures. Heat flows
through the rod as well as between the rod and the surrounding air as shown in Fig. 1.
Where T = temperature (C), x distance along the rod (m), ha heat transfer coefficient
between the rod and the ambient air (m), and T, the temperature of the surrounding air
(C). The governing equation take the following:
-T-1 +(2+ h Ax²) T₁-T₁+1 = h Ax² Ta
write the equation for each interior nodes (i = 1, 2, and 3).
Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method.
L
il
T₂ = 40
x=0
T₂ = 20
T₁
Ax
T. = 20
T₂
h = 0.02
T₂
h = 0.02
Fig. 1
wwwwwgam
T₁ = 200
x = 10
Transcribed Image Text:Q4/ Thin rod positioned between two walls that are held at constant temperatures. Heat flows through the rod as well as between the rod and the surrounding air as shown in Fig. 1. Where T = temperature (C), x distance along the rod (m), ha heat transfer coefficient between the rod and the ambient air (m), and T, the temperature of the surrounding air (C). The governing equation take the following: -T-1 +(2+ h Ax²) T₁-T₁+1 = h Ax² Ta write the equation for each interior nodes (i = 1, 2, and 3). Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method. L il T₂ = 40 x=0 T₂ = 20 T₁ Ax T. = 20 T₂ h = 0.02 T₂ h = 0.02 Fig. 1 wwwwwgam T₁ = 200 x = 10
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