GATE MT · 2019 · MT
Question 41: Differential Equations
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Question 41
MTNAT2 marksNeeds review
Steady state radial heat conduction through a hollow, infinitely long zirconia cylinder is governed by the following ordinary differential equation:
Here, T is the temperature and r is the radial distance. The inner surface of the hollow cylinder is maintained at 1473 K and the outer surface at 973 K. The rate of heat loss per unit length through the outer surface of the hollow cylinder (in W.m⁻¹, rounded off to the nearest integer) is _____________.
Given: Inner radius of cylinder = 0.05 m; outer radius of cylinder = 0.07 m and thermal conductivity of zirconia (k) = 2 W.m⁻¹.K⁻¹.
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2019MT
GATE MT 2019 · Paper 1
Metallurgical Engineering · Original paper archive
- Section
- Metallurgical Engineering
- Question type
- Numerical answer (NAT)
- Marks
- 2 marks
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