Research has shown that traditional dry chilled beams do not require filters (Bjorklunds Energy & Environment Consultant, 2008), owing to absence of wet surface for particles to adhere to, coil fin spacing. If the coil is permitted to become wet, then filtration of the induced air is recommended. The cost to maintain a drain line is substantial, even if only used as a backup for collecting condensation after it occurs.
Source: Bjorklunds Energy & Environment Consultant. (2008). Audit Chilled Beams.