What is the design flow rate of the vaporizer? The manufacturer will typically have a maximum value for you. The number implies that going above that flowrate will typically have excessive ice formation and the warming will not be effective enough. Stay below that flow and you will likely get the outlet temperatures you want. They might also give maximum duration of use (not always, depends on design) and the ambient conditions
If large flows or surges are expected, some switchover mechanism might be installed to allow one vaporizer to de-ice
The calculation I believe would be more complicated than you would expect. Depending on ambient temperature and humidity, on the time, on the amount and direction of wind, airflow characteristics wrt to time as the flow changes when the ice grows, heat conductivity wrt to time as the ice grows and the thickness inreases, changing temperatures profiles in the gas in the tubes wrt to time and ice formation and melting of the ice in the sun (probably some amount of radiative heat transfer). Looks like the iterative solution of multi dimensional heat transfer PDEs and CFD simluations of the air flow around the exchanger.
Of course, for something so complicated, Im sure there are spreadsheets out there with some empirical equations to estimate it...
Edited by thorium90, 18 February 2013 - 11:14 PM.