GATE ME 2024 Set 1 — Question 48
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
Consider a slab of thickness. There is a uniform heat generation of inside the slab. The left and right faces of the slab are maintained at and , respectively. The plate has a constant thermal conductivity of . Considering a 1-D steady state heat conduction, the location of the maximum temperature from the left face will be at _____ (answer in integer).

Correct answer
6 to 6
Solution
The 1-D steady state heat conduction equation with internal heat generation is:Integrating twice:Boundary conditions:
At , .
At , :Maximum temperature occurs where :
At , .
At , :Maximum temperature occurs where :
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