Answer to Question #216093 in Differential Equations for Wavie

Question

The wall (thickness L) of a furnace, with inside temperature 800◦ C, is comprised of brick material

[thermal conductivity = 0.02 W m−1 K

−1

)]. Given that the wall thickness is 12 cm, the atmospheric

temperature is 0

◦ C, the density and heat capacity of the brick material are 1.9 gm cm−3

and

6.0 J kg−1 K

−1

respectively, estimate the temperature profile within the brick wall after 2 hours.