Like most other HVAC system, chilled beams will perform in a satisfactory manner if designed, installed an operated properly.
Most (if not all) building codes require that we provide ventilation air into an occupied space. The ventilation air serves multiple purposes including helping keep the concentration of indoor contaminants in check and providing pressurization for the building relative to outdoors.
In the (old) induction unit system, the primary air fulfilled several requirements including: creating the induction air stream as it leaves the nozzle, ventilation air, space pressurization and latent cooling.
Active chilled beams operate in a similar manner, albeit without the need for high pressure on the primary air. For example, primary air supply to induction units typically requires 1-inch w.g. air pressure at the terminal, compare this with ~1/3-inch for active beams.
Passive beams can be used as a supplemental (sensible) cooling device in a space. The space must have a "primary" source of ventilation air to meet code and to offset the space latent load, otherwise the humidity in the space will start to rise and eventually the passive beam will start to show condensation. Therefore, setting the right supply air temp and humidity of the primary air is paramount to the success of the passive beams.
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