tbadrawi
17-02-2008, 07:31 AM
Air in the steam will cause the temperatures on heat exchangers surfaces to be lower than expected due to the saturation temperatures in the steam tables (http://www.engineeringtoolbox.com/saturated-steam-properties-d_101.html). The heat transfer will be lower and the system efficiency will be reduced.
This situation can de described with the Daltons Law of Partial Pressure.
Daltons Law of Partial Pressure
The total pressure of a mixture of gases is made up by the sum of the partial pressures of the components in the mixture as known from Dalton's Law of Partial Pressures:
The total pressure exerted by a mixture of gases is the sum of the partial pressures of the individual gases!
The total pressure in a mixture of steam and air can be expressed as:P = Pa + Ps (1)
where
Pa = partial pressure of air
Ps = partial pressure of steam
The Partial Pressure in a Mixture
The partial pressure is the pressure exerted by each component as if it was occupying the same volume of the mixture. The effective partial pressure of the steam can be expressed as:Ps_effective = vs / v P (2)
where
Ps_ effective = effective steam pressure, absolute
vs = volume of steam
v = volume of mixture
P = pressure, absolute
Reducing the part of steam reduces the effective steam pressure. Increasing the part of steam (until 100%) increases the effective pressure.
Example - Mix of Air and Steam
The effective pressure in a steam/air mixture made up by 3 parts steam and 1 part air, with total pressure 5 bar absolute, can be expressed as:Ps_effective = 3 / 4 (5 bar a)
= 3.75 bar absolute
Important! Since the steam has an effective pressure of 3.75 bar instead of the pressure of 5 bar a, the mixture would have a temperature of approximately 139oC rather than , the of 152oC. This has a major effect on the heat transfer capability of an heat exchanger.
Resulting Temperature - Air and Steam Mixture
Resulting Temperature - Air and Steam Mixture Mixture Pressure 0% Air
This situation can de described with the Daltons Law of Partial Pressure.
Daltons Law of Partial Pressure
The total pressure of a mixture of gases is made up by the sum of the partial pressures of the components in the mixture as known from Dalton's Law of Partial Pressures:
The total pressure exerted by a mixture of gases is the sum of the partial pressures of the individual gases!
The total pressure in a mixture of steam and air can be expressed as:P = Pa + Ps (1)
where
Pa = partial pressure of air
Ps = partial pressure of steam
The Partial Pressure in a Mixture
The partial pressure is the pressure exerted by each component as if it was occupying the same volume of the mixture. The effective partial pressure of the steam can be expressed as:Ps_effective = vs / v P (2)
where
Ps_ effective = effective steam pressure, absolute
vs = volume of steam
v = volume of mixture
P = pressure, absolute
Reducing the part of steam reduces the effective steam pressure. Increasing the part of steam (until 100%) increases the effective pressure.
Example - Mix of Air and Steam
The effective pressure in a steam/air mixture made up by 3 parts steam and 1 part air, with total pressure 5 bar absolute, can be expressed as:Ps_effective = 3 / 4 (5 bar a)
= 3.75 bar absolute
Important! Since the steam has an effective pressure of 3.75 bar instead of the pressure of 5 bar a, the mixture would have a temperature of approximately 139oC rather than , the of 152oC. This has a major effect on the heat transfer capability of an heat exchanger.
Resulting Temperature - Air and Steam Mixture
Resulting Temperature - Air and Steam Mixture Mixture Pressure 0% Air