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The efficiency of a ventilation system are often related to temperature or pollution or contaminants concentrations in the room and outlets.

The temperature efficiency of a ventilation system may be expressed as
μt = (to - ts) / (trz - ts) (1)
where
μt = temperature efficiency
to = outlet air temperature (oC, oF)
ts = supply air temperature (oC, oF)
trz = room temperature in residence zone - mean value (oC, oF)
The potential efficiency of a system depends on the ventilation principle used.
With "short cuts" the outlet temperature is close to the supply temperature and the ventilation efficiency approaches zero.
With mixed ventilation the outlet temperature is close to the room temperature in the residential zone and the ventilation efficiency approaches one.
With displacement ventilation the outlet temperature is higher than the temperature in the residence zone and in the supply air. The ventilation efficiency is higher, often much higher depending on the actual conditions, than one.
Piston ventilation is an extreme variant of the displacement ventilation and the efficiency is always higher than one.
Pollution or contaminant efficiency may expressed as
μv = co / crz (2)
where
μv = ventilation efficiency
co = pollution concentration in the outlet air (kg/m3, lbm/ft3)
crz = pollution concentration in the air in the residence zone, mean value (kg/m3, lbm/ft3)
The pollution or contaminant concentration in the outlet air can be expressed as
co = qs / qv (3)
where
qs = pollution flow in the air (kg/s)
qv = outlet air flow (m3/s)
The mean pollution concentration in the room can be expressed as
crz = G / V (4)
where
crz = pollution concentration in the room (kg/m3)
G = total pollution in the room (kg)
V = volume of the room (m3)
With "short cuts" the pollution concentration in the outlet is less than in the air in the residential zone and the ventilation efficiency will approach to zero.
With mixed ventilation the outlet pollution concentration is close to the pollution concentration in the residential zone and the ventilation efficiency will approach to one.
With displacement ventilation the outlet pollution concentration is higher than the pollution concentration in the residence zone. The ventilation efficiency is higher, and often much higher depending on the actual conditions, than one.
Piston ventilation is an extreme variant of the displacement ventilation and the efficiency is always higher than one.
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