Component 206: Steam Spray Humidifier by HVACSIM+ General Description The steam spray humidifier model calculates an outlet air temperature, flow rate, and humidity ratio for a constant pressure process in which steam is injected into an air flow stream to increase the humidity of the air. The outlet air humidity ratio is limited either by the steam flow rate or by the saturation humidity ratio (at atmospheric pressure) times a saturation efficiency. The mass flow rate of the air increases slightly due to the addition of moisture. Nomenclature Cpa - specific heat of dry air (kJ / kg-K) Cpai - specific heat of moist inlet air (kJ / kg-K) Cps - specific heat of steam or water vapor (kJ / kg-K) Patm - atmospheric pressure (101.325 kPa) Tai - temperature of inlet air (C) Tao - temperature of outlet air (C) Ts - temperature of inlet steam (C) wai - mass flow rate of moist inlet air (kg/s) wao - mass flow rate of moist outlet air (kg/s) ws - mass flow rate of inlet steam (kg/s) n - saturation efficiency ( - ) Hai - inlet air humidity ratio (kg water / kg dry air) Hao - outlet air humidity ratio (kg water / kg dry air) Haos - saturation humidity ratio (kg water / kg dry air) Mathematical Description The inlet air specific heat depends on the inlet air humidity ratio: Cpai = (Cpa + Hai*Cps) / (1 + Hai) where Cpa is the specific heat of dry air and Cps is the specific heat of steam or water vapor. The air outlet temperature is a weighted average of the inlet air and steam temperatures: Tao = (ws*Cps*Ts + wai*Cpai*Tai) / (ws*Cps + wai*Cpai) Assuming that all of the entering steam is absorbed by the air, the outlet humidity ratio is Hao = Hai + ws*(1 + Hai) / wai The saturation humidity ratio at the outlet temperature is calculated next, using the subprogram PSATS described in Chapter 3 to find the saturation pressure at the outlet temperature. The constant in the following equation is the ratio of water to air molecular weights. Haos = (0.62198*PSATS(Tao)) / (Patm - PSATS(Tao)) where Patm is 101.325 kPa. The outlet humidity ratio, Hao, cannot exceed the saturation efficiency times the outlet humidity ratio at saturation, n*Haos: Hao = min(Hao, n*Haos) Component 206 Configuration Inputs Description 1 Ts - steam temperature (C) 2 Tai - inlet air temperature (C) 3 Hai - inlet air humidity ratio ( - ) 4 wai - inlet air mass flow rate (kg/s) 5 ws - steam mass flow rate (kg/s) Outputs Description 1 Tao - outlet air temperature (C) 2 wao - outlet air mass flow rate (kg/s) 3 Hao - outlet air humidity ratio ( - ) Parameters Description 1 n - saturation efficiency Reference: 1. HVACSIM+ Building Systems and Equipment Simulation Program Reference Manual (NBSIR 84-2996) Daniel R. Clark United States Department of Commerce National Institute of Standards and Technology Gaithersburg, Maryland 20899-0001