Hot air flows with a mass rate of m = 0.050 kg/s through an uninsulated sheet metal duct of diameter D = 0.15 m, which is in the crawlspace of a house. The hot air enters at 103°C and, after a distance of L = 5 m, cool to 77°C. The heat transfer coefficient between the duct outer surface and the ambient air at T, = 0°C is known to be ho = 6 W /m² · K. 1) Calculate the heat loss from the duct over the length L. 2) Determine the heat flux and the duct surface temperature at x=L, assuming fully developed conditions at x = L.

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.27P
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Hot air flows with a mass rate of m 0.050 kg/s through an uninsulated sheet metal
duct of diameter D = 0.15 m, which is in the crawlspace of a house. The hot air
enters at 103°C and, after a distance of L = 5 m, cool to 77°C. The heat transfer
coefficient between the duct outer surface and the ambient air at T, = 0°C is known
to be ho = 6 W/m² · K.
1) Calculate the heat loss from the duct over the length L.
2) Determine the heat flux and the duct surface temperature at x=L, assuming fully
developed conditions at x = L.
Transcribed Image Text:Hot air flows with a mass rate of m 0.050 kg/s through an uninsulated sheet metal duct of diameter D = 0.15 m, which is in the crawlspace of a house. The hot air enters at 103°C and, after a distance of L = 5 m, cool to 77°C. The heat transfer coefficient between the duct outer surface and the ambient air at T, = 0°C is known to be ho = 6 W/m² · K. 1) Calculate the heat loss from the duct over the length L. 2) Determine the heat flux and the duct surface temperature at x=L, assuming fully developed conditions at x = L.
Consider the coupled tank system shown below. The first tank is supplied with
water at a rate of q = 10 gallons/minute while the second tank reaches a max height 0.7 meters
in 3.2 seconds and a steady state height of 0.4 meters in 46 seconds (starting from empty).
Determine an equation(s) of motion for the height of the second tank (h) of this coupled tank
system.
Transcribed Image Text:Consider the coupled tank system shown below. The first tank is supplied with water at a rate of q = 10 gallons/minute while the second tank reaches a max height 0.7 meters in 3.2 seconds and a steady state height of 0.4 meters in 46 seconds (starting from empty). Determine an equation(s) of motion for the height of the second tank (h) of this coupled tank system.
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