An external wall of a building has a U value of 0.50 W/m^2K. The indoor temperature is 21 degreesC and the outdoor temperature is -2.0 degreesC. If the combined surface heat transfer coefficient (radiation plus convection) of the outside wall is 12 W/m^2K, determine its surface temperature. answer = -1.04degreesC please show all workings

Consider a wall that is 5 m high, 8 m long, and 0.22 m thick. The thermal conductivities of the various materials used, in W/m °C, are kA = kF = 2, kB = 8, kC = 20, kD = 15 and kE = 35. The left and right surfaces of the wall are maintained at uniform temperatures of 300 °C and 100 °C, respectively. If the heat transfer through the wall is one-dimensional, determine (a) the rate of heat transfer through the wall; b) the temperature at the point where sections B, D, and E meet, and c) the temperature drop across section F. Disregard any contact resistances between the interfaces.

Consider 1D heat conduction in a Cu rod with an average temperature of 25C. Does there exist a maximum (or upper-limit value) temperature gradient for heat conduction. If so, what is that value with justification on the derivation/scientific reasoning. The thermal conductivity is k=385 W/m*K. The diameter of the rod is left in terms of d.

Temperature distribution of a wall is given as T(x) = -100x + 50 and the cold surface is exposed to a convection environment at temperature of 20 °C. If the wall thickness is 10 cm and the conductivity is 1 W/mK what is the convection coefficient between the cold surface and the environment?