A 0.15 kg/s stream of water flows through a 5 cm diameter tube at an inlet
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A 0.15 kg/s stream of water flows through a 5 cm diameter tube at an inlet

Problem 2

A 0.15 kg/s stream of water flows through a 5 cm diameter tube at an inlet temperature of 47°C. Water is cooled by the flow of air at 15°C across the tube with a velocity of 20 m/s. Determine the length of tube needed to cool the water down to 37°C. Fluid properties are given below.


Hint
Engineering"To solve this problem, we can use the concept of convective heat transfer. The rate of heat transfer from the water to the air can be calculated using Newton's law of cooling:Q = h A Δ TWhere:Q is the rate of heat transfer (in watts, W)ℎ is the convective heat transfer coefficient (in watts per square meter per Kelvin, W/(m^2·K))A is the surface area of the tube (in square meters, m^2)...

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