(a)
The tube length using the appropriate Nusselt number relation for liquid metals.
(a)

Explanation of Solution
Given:
The flow rate of mercury
The diameter
The inlet mean temperature
The outlet mean temperature
The maintained surface temperature of the tube surface
Calculation:
Calculate
Refer to table A-20 “Properties of liquid metals” to obtain the following properties corresponding to the temperature of
And the Prandtl number corresponding to the surface temperature of
Calculate the Reynolds number
Calculate the Nusselt number
Calculate the convection heat transfer coefficient
Calculate the length of the tube
Thus, the tube length is
(b)
The tube length using the appropriate Dittus–Boelter equation.
(b)

Explanation of Solution
Given:
The velocity of air
The mean temperature
Calculation:
Calculate the Nusselt number
Calculate the convection heat transfer coefficient
Calculate the length of the tube
Thus, the tube length is
(c)
The comparison.
(c)

Explanation of Solution
Calculation:
Calculate the difference between the length
Thus, the length of the pipe obtained in first case (part ‘a’) is
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Chapter 19 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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