Calculate the heat flux (in W/m2) through a sheet of a metal 11-mm thick if the temperatures at the two faces are 350 and 110 ˚C. Assume steady-state heat flow and that the thermal conductivity of this metal is 53.0 W/m-K.

q = 1156363.6W/m².

To calculate the heat flux per unit area (W/m²) of a sheet made of metal:

q = - k (ΔT/Δx)

q = - k[ (T₂ - T₁) / Δx]

Where, k is the thermal conductivity of the metal, ΔT is the temperature difference and Δx is the thick.

With Δx = 11 mm = 11x10⁻³m, T₂ = 350°C and T₁ = 110°C, and k = 53.0 W/m-K:

q = - 53.0W/m-K[ (110°C - 350°C) / 11x10⁻³m

q = 1156363.6W/m²