Consider one-dimensional conduction in a plane composite wall. The outer surfaces are exposed to a fluid at 25°C and a convection heat transfer coefficient of 1000 W/m² ∙ K. The middle wall B experiences uniform heat generation q_B, while there is no generation in walls A and C. The temperatures at the interfaces are T₁ = 261°C and T₂ = 211°C.

(a) Assuming negligible contact resistance at the interfaces determines the volumetric heat generation q_B and the thermal conductivity kB.

(b) Plot the temperature distribution, showing its important features.

(c) Consider conditions corresponding to a loss of coolant at the exposed surface of material A (h = 0). Determine T₁ and T₂ and plot the temperature distribution throughout the system.

T2 T1 Too Te, h 2LB LA = 30 mm LB = 30 mm L = 20 mm kA = 25 W/m-K kc = 50 W/m-K A.