Estimate the exterior surface temperature


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Q: For a furnace wall, draw the thermal circuit, determine the rate of heat flow per unit area, and estimate the exterior surface temperature under the following conditions: the convective heat transfer coefficient at the interior surface is 15 W/(m2 K); rate of heat flow by radiation from hot gases and soot particles at 2000°C to the interior wall surface is 45,000 W/m2; the unit thermal conductance of the wall (interior surface temperature is about 850°C) is 250 W/(m2 K); there is convection from the outer surface.

GIVEN

A furnace wall

Convective heat transfer coefficient ( hc ) = 15 W/(m2 K)

Temperature of hot gases inside furnace (Tg) = 2000°C

Rate of radiative heat flow to the interior of the wall (qr/A) = 45,000 W/m2

Unit thermal conductance of the wall (k/L) = 250 W/(m2 K)

Interior surface temperature (Twi) is about 850°C

Convection occurs from outer surface of the wall

ASSUMPTIONS

Heat flow through the wall is one dimensional

Steady stateprevails

946_Wall.jpg

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Mechanical Engineering: Estimate the exterior surface temperature
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