Consider a large plane wall of thickness L = 0.3 m, thermal conductivity k = 2.5 W/m · K, and surface area A = 12 m². The left side of the wall at x = 0 is subjected to a net heat flux of q̇₀ = 700 W/m² while the temperature at that surface is measured to be T₁ = 80°C. Assuming constant thermal conductivity and no heat generation in the wall,

(a) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall,

(b) Obtain a relation for the variation of temperature in the wall by solving the differential equation,

(c) Evaluate the temperature of the right surface of the wall at x = L.

Transcribed Image Text:

90 T₁ 0 L X