As far as I can recollect the HTRI air cooler program is intended for cooling of (tubeside) process fluids which means heating of the air flow. Hence, moisture condensation will not be an issue. If you wish to do the reverse, i.e. heat the process fluid by cooling the air I do not think the HTRI can cope if you have moisture condensation. Actually, the problem is quite tricky; in principle you have to deal with vapor condensation if the tube wall temperature is beloow the dew point even if the bulk air flow temperature is above the dew point temperature. However, most commercial codes simplifies this and uses a simplified approach, i.e. a variant of the Silver model (aka Bell&Ghaly model). This is a simple multiplier to the single phase convective heat transfer coefficient. As a simplified approach you may, by using the moist air temperature-enthalpy diagram calculate this multiplier by hand and enter it in the HTRI input as an averaged multiplier.
At least some of the references given by Boulahia present the Silver method.
At first, thank you very much for your kind and I'm apologize about my terrible english. I would like to share about HTRI cooling case if air side is condense such as AHU.
I pre-calculate cooling load by psychrometric chart or "Coolpack" program. Then I use HTRI to design cooling coil by input hot side components in 2 items (Air and Water). Trial program by vary water quantity until cooling load (kW) closed to value that you get before.
In the HTRI program Air Cooled Heat Exchanger you can choose Economiser for all cases without fans. For the Hot Fluid Properties (fin side) you just choose the HTRI package and then as components air and water.
Which version of HTRI program are you using? Of course these kind of questions you always can ask HTRI team.