A cylindrical bottle with a diameter of 10 cm and a height of 30 cm contains cold water at 3 °C. The bottle is placed in windy air at 27°C. The temperature of the water is measured at 11 °C after 45 minutes of contact with the air. Neglecting radiation effects and heat transfer from the upper and lower surfaces, estimate the average wind speed.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.40P
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A cylindrical bottle with a diameter of 10 cm and a height of 30 cm contains cold water at 3 °C. The bottle is placed in windy air at 27°C. The temperature of the water is measured at 11 °C after 45 minutes of contact with the air. Neglecting radiation effects and heat transfer from the upper and lower surfaces, estimate the average wind speed.

I need the solution from fundamental concepts of how the heat flow behaves in the system

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