The temperature of the aluminum tube when equilibrium is established.

Explanation of Solution
Given:
The inner diameter of tank
The outer diameter of tank
The solar radiation absorbed
The temperature of air is
The surface temperature is
Calculation:
Calculate the film temperature
Calculate Characteristic length
Refer Table A-22 “Properties of air at 1 atm pressure”.
Obtain the following properties of air corresponding to the temperature of
Calculate the Rayleigh number
Calculate the Nusselt number
Calculate the heat transfer coefficient
Calculate rate of heat transfer by convection
Calculate rate of heat transfer by radiation
Calculate total rate of heat transfer by radiation
Assume the aluminum tube temperature to be
Calculate the film temperature
Refer Table A-22 “Properties of air at 1 atm pressure”.
Obtain the following properties of air corresponding to the temperature of
Calculate Characteristic length
Calculate the Rayleigh number
Calculate geometric factor for concentric cylinders
Calculate effective thermal conductivity
Calculate the heat loss from the collector per meter length of the tube
Calculate rate of heat transfer by radiation
Calculate rate of heat transfer
Thus, the temperature of the aluminum tube when equilibrium is established is
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Chapter 20 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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