GATE ME 2014 Set 1 — Question 52

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NAT+2 / -0Medium1D Steady ConductionConductionHeat Transfer

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 x=0x = 0, a constant heat flux, q=1×105 W/m2q'' = 1 \times 10^5 \text{ W/m}^2 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/m2^2.K. The temperature (in °C), at x=0x = 0 is _______
Diagram showing a wall of thickness $L$ with constant heat flux $q''$ applied at $x=0$ (temperature $T_1$) and convection to a fluid at $T_\infty$ from the surface at $x=L$ (temperature $T_2$)
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