Metallurgical Engineering > GATE 2019 > Heat Conduction
Steady state radial heat conduction through a hollow, infinitely long zirconia cylinder is governed by the following ordinary differential equation:
1/r d/dr (rk dT/dr) = 0
Where, 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.
1/r d/dr (rk dT/dr) = 0
Where, 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.
Correct : 18675
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