The plate material would be aluminium or plastic to prevent corrosion, the target is to remove as much water as posible from an air duct. The initial temperature is going to be just below dew point because the plates would be refrigerated, to save energy. Depending on the number of plates needed I'm planning to remove water vibrating the plates, just gravity or trying a kind of a wiping system. Air flow is around 6000-7000 cfm, air temp 22-30°C and R. Humidity 50-80%
What you are describing is an ordinary cooling coil. The amount of water collected will be a fuction of the energy you are removing from the air via the coil and that will depend on what is causing the coil to get cold and the coil's heat transfer effectiveness.
For 6,000 CFM, the power required to drop the air to a dew point of 55 F with a generic split-ac system will be somewhere on the order of 50 kW.
Note, you don't need to vibrate the plates. The water will collect on them and drip off.
Don't mean to be a fuddy duddy but I think we got off the subject of the question. Is there a setup formula that can caculate the amount of water collected from a plate. I realize you also need to know the size of the plate in question. Please keep on topic and not redirect answer to another idea. thanks