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The temperature of the side surface and the net rates of heat transfer between the top and the bottom surfaces, and between the bottom and side surfaces.
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Explanation of Solution
Given:
The diameter of cylindrical furnace
The height of cylindrical furnace
The emissivity of upper surface
The emissivity of lower surface
The emissivity of side surface
The rate of heat supplied
The temperature of upper surface
The temperature of lower surface
Calculation:
Calculate the ratio of height of cylindrical furnace
Refer Table 21-3 “View factor expressions for some common geometries of finite size (3-D)”.
Calculate the view factor
Calculate the view factor
Calculate the view factor
Refer equation 21-38. Obtain the radiosity using the expression.
Calculate the equation 21-38 for surface 1 using the relation.
Calculate the equation 21-38 for surface 2 using the relation.
Calculate the equation 21-38 for surface 3 using the relation.
Refer equation 21-50. Obtain the heat transfer on surface 2 using the expression.
Calculate the temperature
Calculate the rate of heat transfer between the bottom and the top surface
Calculate the rate of heat transfer between the bottom and the side surface
Thus the temperature of the side surface is
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Chapter 21 Solutions
Fundamentals of Thermal-Fluid Sciences
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