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GATE Civil Engineering (CE) 2023 Shift 2 Solved Paper

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Question : 31

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The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of 100°C and the other three sides are kept at a temperature of 0°C. Ignoring the effect of discontinuities in the boundary conditions at the corners, the steady-state temperature at the center of the plate is obtained as T₀°C. Due to symmetry, the steady-state temperature at the center will be same (T₀°C), when any one side of the square is kept at a temperature of 100°C and the remaining three sides are kept at a temperature of 0°C. Using the principle of superposition, the value of T₀ is _________ (rounded off to two decimal places).

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