GATE ME 2014 Set 1 — Question 52
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Heat Transfer → Conduction → 1D Steady Conduction
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Question
Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness 30 mm and thermal conductivity 15 W/m.K. At , a constant heat flux, is applied. On the other side of the wall, heat is removed from the wall by convection with a fluid at 25°C and heat transfer coefficient of 250 W/m.K. The temperature (in °C), at is _______

Correct answer
620 to 630
Solution
Under steady-state conditions, the heat flux applied at must be equal to the heat conducted through the wall and the heat removed by convection at the other surface.Let be the temperature at and be the temperature at .Step 1: Convection at the surface Step 2: Conduction through the wallAlternatively, using the total thermal resistance:
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