Heat is generated in a sphere of radius 1 m at a rate of 1000 W/m3. The sphere is surrounded by air at 27 oC. A. Balance total energy produced by the total energy lost from the surface by convection and radiation to calculate the surface temperature. B. Solve the heat transfer problem in the sphere and use the temperature calculated in A as the boundary condition to determine the temperature at the center of the sphere. Assume that the sphere can be treated as a black body for calculating radiation losses. Properties The thermal conductivity is given to be k =2.5 W/m°C. σ = 5.67 × 10−8 W / (m2 x K4). Heat transfer coefficient h = 10 W/(m2 K
Heat is generated in a sphere of radius 1 m at a rate of 1000 W/m3. The sphere is surrounded by air at 27 oC. A. Balance total energy produced by the total energy lost from the surface by convection and radiation to calculate the surface temperature. B. Solve the heat transfer problem in the sphere and use the temperature calculated in A as the boundary condition to determine the temperature at the center of the sphere. Assume that the sphere can be treated as a black body for calculating radiation losses. Properties The thermal conductivity is given to be k =2.5 W/m°C. σ = 5.67 × 10−8 W / (m2 x K4). Heat transfer coefficient h = 10 W/(m2 K
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Heat is generated in a sphere of radius 1 m at a rate of 1000 W/m3. The sphere is surrounded by air at 27 oC.
A. Balance total energy produced by the total energy lost from the surface by convection and radiation to
calculate the surface temperature.
B. Solve the heat transfer problem in the sphere and use the temperature calculated in A as the boundary
condition to determine the temperature at the center of the sphere.
Assume that the sphere can be treated as a black body for calculating radiation losses.
Properties The thermal conductivity is given to be k =2.5 W/m°C.
σ = 5.67 × 10−8 W / (m2 x K4). Heat transfer coefficient h = 10 W/(m2 K)
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