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[Art Montemayor]

Go to the classic book written by Donald Q. Kern in 1950: "Process Heat Transfer"; McGraw-Hill; page 720, in Section 2 titled "Coils".

You will find that, as Kern points out, "there is a dearth of data in the literature on the transfer of heat to helical coils by free convection". The state of the art, unfortunately, is still the same today, half a century later. Like most people that request information to this forum, your inquiry is lacking in any substantial basic data and therefore, I don't know what else to tell you.

I can guess that you are dealing with free convection on the water side, but that's only a guess since you don't tell us anything else. Even with forced convection (an agitator, mixer, pump) I normally employ an empirical overall heat transfer coefficient that depends on the configuration and the fluids involved. I think you'll find that is the conventional method used by most experienced engineers in the field.