A thin-wall jacketed tank, heated by condensing steam at one atmosphere contains 91 kg of agitated water. The heat transfer area of the jacket is 0.9 m2 and the overall heat transfer coefficient U = 227 W/(m2 K) based on that area. Determine the heating time required for an increase in temperature from 16°C to 60°C.
GIVEN
• A thin wall jacketed tank, heated by condensing steam
• Steam pressure = one atmosphere
• Mass of water in the tank = 91 kg
• The heat transfer area (A) = 0.9 m2
• The overall heat transfer coefficient (U) = 227 W/(m2 K) based on that area
• Temperature increases from 16°C to 60°C
FIND
• Determine the heating time required
ASSUMPTIONS
• Uniform water temperature due to agitation
• Thermal capacitance of the tank wall is negligible
SKETCH
The temperature-time history for this system is given
Solving this expression for the time
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