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Compressed Gas Heat Exchanger

Compressed Gas Heat Exchanger

Compressed Gas Heat Exchanger

(OP)
I am attempting to solve a "simple" heat transfer problem, but I am having some difficulty.  I am trying to use hot natural gas from the discharge of a compressor to preheat gas being fed into a regulator to prevent the regulator from freezing (the gas dewpoint is -40F).  I want to design a simple heat exchanger consisting of a 1/2" x .065" 316SS tube installed inside a 1" x .095" 316SS tube.  The flows are in the opposite direction.

The data for the inner tube (hot side) is:

Fluid: Natural Gas (0.6 SG)
Pressure: 3600 psig
Temperature in: 200 F
Flow rate: 43.5 lb/min

The data for the outer tube (cold side) is:

Fluid: Natural Gas (0.6 SG)
Pressure: 2900 psig
Temperature in: 32 F
Flow rate: 43.5 lb/min

How long does my heat exchanger need to be to achieve a outlet temperature of 50 F on the outer tube?  You don't have to give me the exact answer, but if you can point me in the right direction, that would be great.  Someone must have a spreadsheet for calculating this kind of thing.  Also, if anyone has tips on how to achieve the required heat transfer in a better, more efficient, and cheaper way, I'd appreciate that too.

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