GATE MT · 2026 · MT
Question 59: Radiation
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Question 59
MTNAT2 marksNeeds review
A cylindrical furnace has 0.1 m inner diameter and 0.2 m height. Walls A₁ (inner section of cylindrical surface area) and A₂ (inner section of bottom surface area) are maintained at 1873 K. The sides and bottom are assumed to be black bodies, well insulated and heated electrically. The top area (A₃) is open to atmosphere maintained at 300 K, resulting in loss of heat ‘q̇’.
Given:
View factors F₁₃ = 0.1175 and F₂₃ = 0.06, where Fᵢⱼ is the fraction of radiation leaving surface ‘i’ that is intercepted by surface ‘j’.
Stefan-Boltzman constant = 5.67 × 10⁻⁸ W/m²-K⁴
The power needed to maintain the furnace at 1873 K is (approximate to the nearest integer) _________________ W.
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2026MT
GATE MT 2026 · Paper 1
Metallurgical Engineering · Original paper archive
- Section
- Metallurgical Engineering
- Question type
- Numerical answer (NAT)
- Marks
- 2 marks
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