Afurnace consists of a 100 cm thick brick wall chamber in which gaseous material is combusted. the air surrounding the furnace chamber is at ambient temperature (25°c) and circulates due to natural convection with a value of the convection coefficient at 15 w/(m2.k). assuming a thermal conductivity of 1 w/(m. k) for brick wall, which can be assumed a blackbody, calculate the of the furnace wall if the outer wall inner temperature of the furnace wall if the oute temperature reaches 80°c at steady-state.

Explanation:

The heat transferred through conduction = heat transfer through radiation + heat transfer through convection

It is given that thermal conductivity of wall is 1 W/(m.K)

      Boltzmann constant () =  

Formula to calculate the inner temperature of the furnace is as follows.

       kA(T - 80) =

It is known that for black body emissitivity = 1

Now putting the given values into the above formula as follows.

        kA(T - 80) =

        = A ()

              T - 80 =

               T =

Thus, we can conclude that the inner temperature of the furnace wall is .