2) Urethane (k = 0.026 W/m-K) is used to insulate the sidewall and the top and bottom of a cylindrical hot water tank. The insulation is 40 mm thick and is sandwiched between sheet metal of thin-wall construction. The height and inside diameter of the tank are 2 m and 0.8 m, respectively. The tank is in ambient air with T = 10 °C and h = 10 W/m²-K. If the hot water maintains the inner surface at 55 °C, and energy costs amount to $0.15 per kWh, what is the daily cost to maintain the water in storage? Argue that the thermal resistance of the tank wall is negligible. What does this say about the temperature drop across the tank wall?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.22P
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2) Urethane (k = 0.026 W/m-K) is used to insulate the sidewall and the top and bottom of a cylindrical
hot water tank. The insulation is 40 mm thick and is sandwiched between sheet metal of thin-wall
construction. The height and inside diameter of the tank are 2 m and 0.8 m, respectively. The tank is in
ambient air with T = 10 °C and h = 10 W/m²-K. If the hot water maintains the inner surface at 55 °C, and
energy costs amount to $0.15 per kWh, what is the daily cost to maintain the water in storage? Argue
that the thermal resistance of the tank wall is negligible. What does this say about the temperature drop
across the tank wall?
Transcribed Image Text:2) Urethane (k = 0.026 W/m-K) is used to insulate the sidewall and the top and bottom of a cylindrical hot water tank. The insulation is 40 mm thick and is sandwiched between sheet metal of thin-wall construction. The height and inside diameter of the tank are 2 m and 0.8 m, respectively. The tank is in ambient air with T = 10 °C and h = 10 W/m²-K. If the hot water maintains the inner surface at 55 °C, and energy costs amount to $0.15 per kWh, what is the daily cost to maintain the water in storage? Argue that the thermal resistance of the tank wall is negligible. What does this say about the temperature drop across the tank wall?
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