In a furnace, the inner and outer sides of the brick wall (k1 = 2.5 W/mK) are maintained at 1100anddeg;C and 700anddeg;C respectively as shown in figure.The brick wall is covered by an insulating material of thermal conductivity k2. The thickness of the insulation is 1/4th of the thickness of the brick wall. The outer surface of the insulation is at 200anddeg;C. The heat flux through the composite walls is 2500 W/m2.The value of k2 is ________ W/mK (round off to 2 decimal places).Correct answer is '0.5'. Can you explain this answer?

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In a furnace, the inner and outer sides of the brick wall (k₁ = 2.5 W/mK) are maintained at 1100°C and 700°C respectively as shown in figure.

The brick wall is covered by an insulating material of thermal conductivity k₂. The thickness of the insulation is 1/4th of the thickness of the brick wall. The outer surface of the insulation is at 200°C. The heat flux through the composite walls is 2500 W/m².
The value of k₂ is ________ W/mK (round off to 2 decimal places).

Correct answer is '0.5'. Can you explain this answer?

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In a furnace, the inner and outer sides of the brick wall (k1 = 2.5 W/...

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Assuming steady state, one-dimensional conduction heat transfer through composite slab,
Thermal circuit:

⇒
⇒
⇒ k₂ = 0.5 W-mK

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In a furnace, the inner and outer sides of the brick wall (k1 = 2.5 W/mK) are maintained at 1100°C and 700°C respectively as shown in figure.The brick wall is covered by an insulating material of thermal conductivity k2. The thickness of the insulation is 1/4th of the thickness of the brick wall. The outer surface of the insulation is at 200°C. The heat flux through the composite walls is 2500 W/m2.The value of k2 is ________ W/mK (round off to 2 decimal places).Correct answer is '0.5'. Can you explain this answer?

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