Project ForgeConsider a one-dimensional steady heat conduction process through a solid slab of thickness 0.1 m. The higher temperature side A has a surface temperature of 80°C, and the heat transfer rate per unit area to low temperature side B is 4.5 kW/m². The thermal conductivity of the slab is 15 W/m.K. The rate of entropy generation per unit area during the heat transfer process is ________ W/m².K (round off to 2 decimal places).
Explanation
TB: q=k(TA−TB)/L → 4500=15(80−TB)/0.1=150(80−TB) → TB=80−30=50°C. In Kelvin: TA=353K, TB=323K. Entropy generation per unit area: Sgen=q(1/TB−1/TA)=4500×(1/323−1/353)≈4500×0.0002631≈1.18 W/m².K.
Source: GATE ME 2022 Session 1 (ME-1) (2022)
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