GATE ME 2025 Set 1 — Question 48
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Heat Transfer → Radiation → Radiation Exchange
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Question
Consider a cylindrical furnace of diameter and length with bottom, top and curved surfaces maintained at uniform temperatures of , and , respectively. The view factor between the bottom and top surfaces, is . The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is _____________ (rounded off to 1 decimal place).
All surfaces of the furnace can be assumed as black.The Stefan-Boltzmann constant, .

Correct answer
308 to 310
Solution
Let the surfaces be labeled as: 1 = Bottom, 2 = Top, 3 = Curved.
Given: , , , , , .
Area of the bottom surface .
From the summation rule for surface 1: .
Since surface 1 is flat, . Thus, .
The net radiation heat transfer rate between surface 1 and surface 3 for black surfaces is:
Given: , , , , , .
Area of the bottom surface .
From the summation rule for surface 1: .
Since surface 1 is flat, . Thus, .
The net radiation heat transfer rate between surface 1 and surface 3 for black surfaces is:
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