GATE ME 2022 Set 2 — Question 63
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
Consider steady state, one-dimensional heat conduction in an infinite slab of thickness ( m) as shown in the figure. The conductivity () of the material varies with temperature as , where is the temperature in K, and is a constant equal to 2 W∙m⁻¹∙K⁻². There is a uniform heat generation of 1280 kW/m in the slab. If both faces of the slab are maintained at 600 K, then the temperature at is ________ K (in integer).
Correct answer
1000 to 1000
Solution
The governing equation for 1D steady state heat conduction with heat generation is:Given and .Integrating twice:Boundary conditions:
1.At , due to symmetry, .
2.At m, K.
At , :The temperature at is 1000 K.Continue learning with Success Tracker
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