Concept explainers
(a)
The net rate of radiation heat transfer between the base and the side surfaces.
(a)

Explanation of Solution
Given:
The side of the cubic furnace
The emissivity of the base surface
The temperature of the base
The temperature of the top
The temperature of the side
Calculation:
The below figure represent the required diagram.
Figure-(1)
Calculate the area of the base surface
Calculate the area of the top surface
Calculate the area of the side surface
Calculate the emissive power of the base surface
Calculate the emissive power of the top surface
Calculate the emissive power of the side surface
Consider, the view factor of the cube from base to the top surface
Calculate the view factor from the base or top to the side surfaces
Calculate the radiation resistance of the base surface
Calculate the radiation resistance between base and top surface
Calculate the radiation resistance between top and side surface
Calculate the radiosity
Calculate the net rate of radiation heat transfer between the base and the side surfaces
Thus, the net rate of radiation heat transfer between the base and the side surfaces is
(b)
The net rate of radiation heat transfer between the base and the top surfaces.
The net rate of radiation heat transfer to the base surface.
(b)

Explanation of Solution
Calculation:
Calculate the net rate of radiation heat transfer between the base and the top surfaces
Thus, the net rate of radiation heat transfer between the base and the top is
Calculate the net rate of radiation heat transfer to the base surface
Thus, the net rate of radiation heat transfer to the base surface is
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Chapter 21 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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