A plane wall L=100 mm thick (k=0.15 W/m⋅K) is insulated on one side while the other side is exposed to air with a unifor

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A Plane Wall L 100 Mm Thick K 0 15 W M K Is Insulated On One Side While The Other Side Is Exposed To Air With A Unifor 1 (113.51 KiB) Viewed 38 times

A plane wall L=100 mm thick (k=0.15 W/m⋅K) is insulated on one side while the other side is exposed to air with a uniform temperature T∞​=20∘C. The convection coefficient is h=200 W/m2⋅K. The rate of heat generation within the wall is q′=1.2×104 W/m3. a) Assuming the radiation heat transfer to be negligible, determine the steady-state temperature at the wall surface exposed to air. [5 Marks] b) Show that the steady-state temperature distribution in the wall can be expressed as T(x)=−2kq′​x2+C where C is a constant. [10 Marks] c) Determine the maximum steady-state temperature in the conductor. [5 Marks] d) Assume that the surrounding temperature for radiation is also 20∘C and that the emissivity of the wall surface is 0.8. Would it be an acceptable approximation to neglect thermal radiation? Explain the reasons for your answers. Note that the Stephen-Boltzmann constant is σ=5.67×10−8 W/m2⋅K4. [5 Marks]