In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance, T₁ Find the temperatures T₁, T2, T3, T4, when the grid is in thermal equilibrium. T₁ = -80 T₂ = 80 T3 = 80 T₁ = 0 T₂+T3+0-80 4

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.35P
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In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at
each interior mesh point is the average of the temperatures at the four adjacent points. For instance,
T2+ T3+0-80
4
T₁ =
Find the temperatures T₁, T2, T3, T4, when the grid is in thermal equilibrium.
T₁-80
T₂ = 80
T3= 80
T₁ = 0
₂
Transcribed Image Text:In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance, T2+ T3+0-80 4 T₁ = Find the temperatures T₁, T2, T3, T4, when the grid is in thermal equilibrium. T₁-80 T₂ = 80 T3= 80 T₁ = 0 ₂
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