How Can I Cool Air Supply to Match a Temperature Chamber?

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To cool air supply before entering a temperature chamber, simply routing it through a copper coil is insufficient without a cold fluid. A more effective method involves using water and a fan to leverage the latent heat of vaporization, akin to a chiller system. Calculating the heat removal requires understanding the overall heat transfer coefficient of the copper coil and the temperature difference between the coil and ambient air. This ensures that the air is adequately cooled to match the chamber's temperature. Proper calculations will help achieve the desired cooling effect efficiently.
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I am looking to cool my air supply before applying it to an application in a temperature chamber. The chamber will be at cold the air supply from outside the chamber will be ambient temperature. I want my supply air to be cooled to match the chamber before it enters my application, so pressure is constant. I was thinking simply routing the air through coiled copper would do the trick in the chamber but I was hoping to have some assurance via equations( length and size of tube needed to ensure all heat has been removed) I am thinking this should be simple but I keep finding stuff in books over complicating the process(I think)

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Wherever you want to remove heat you must have some temperature difference. Simply passing the air through a copper coil would not serve your purpose. You have to pass some cold fluid to achieve the cooling process otherwise you can use water and a combination of fan to cool the air by using latent heat of vaporization of water. That's exactly like Chiller system. To find out heat removed in the process you need to know the overall heat transfer coefficient of the copper coil. And temperature difference between the coil and ambient air. Then you can find out exactly the heat removed in the process...
 
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