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List of TriHumidAir Worksheet Functions
 The tables below give a complete list of TriHumidAir
worksheet functions.
 The rows that are shaded blue
describe input parameters to the functions listed below.
 All functions use the SI system of units.
 The term 'Mixing Ratio' is used instead of 'Humidity Ratio'.
General
Moist Air Properties from Pressure and Temperature
Moist Air Mass Flows
Moist Air Temperature from Enthalpy
Specific Enthalpy of Water (Any Phase) in Equilibrium With
Saturated Air at 101,325 Pa
Specific Enthalpy of Saturated Steam
Moist Air Properties from Pressure, Temperature and Relative
Humidity
Moist Air Properties from Pressure, Temperature and Mixing Ratio
Moist Air Properties from Pressure, Temperature and Wet Bulb
Temperature
Heating and Cooling of a Moist Air Flow
Adiabatic Mixing of Two Streams of Moist Air
Adiabatic Mixing of Moist Air with Injected Water or Steam
General
General: Moist Air Properties from
Pressure and Temperature 
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Dry Bulb Temperature 
T 
°C 
Relative Humidity 
RH 

Water Vapour at Saturation Pressure (H2O Only)
Pws0 = f(T) [Pa] 
WSatP0(t) 
Pa 
Water Saturation Pressure (In Air at Given Pressure)
Pws = f(P, T) [Pa] 
WSatP(P,t) 
Pa 
Saturation Mixing Ratio
Ws = f(P, T) [kg/kg] 
SatMixRatio(P,t) 
kg/kg 
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General: Moist Air Mass Flows 
Property 
Formula 
Unit 
Mass Flow of Moist Air Mixture (Air + Water) 
M 
kg/s 
Mixing Ratio 
W 
kg/kg 
Mass Flow of Air
Ma = f(M, W) [kg/s] 
MassFlowAir_M(m,W) 
kg/s 
Mass Flow of Water
Mw = f(M, W) [kg/s] 
MassFlowWater_M(m,W) 
kg/s 
Mass Flow of Air 
Ma 
kg/s 
Mixing Ratio 
W 
kg/kg 
Mass Flow of Moist Air Mixture (Air + Water)
M = f(Ma, W) [kg/s] 
MassFlowMix_Ma(Ma,W) 
kg/s 
Mass Flow of Water
Mw = f(Ma, W) [kg/s] 
MassFlowWater_Ma(Ma,W) 
kg/s 
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General: Moist Air Temperature from Enthalpy 
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Mixing Ratio 
W 
kg/kg 
Enthalpy of Moist Air per Unit of Mass of Dry Air 
H 
kJ/kg dry air 
Moist Air Temperature from Enthalpy
T = f(P, W, H) [°C] 
Temp_H(P,W,H) 
°C 
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General: Specific Enthalpy of Water (Any Phase) in Equilibrium With
Saturated Air at 101,325 Pa 
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Dry Bulb Temperature 
T 
°C 
Calculate for Ice 
CalcIce 

Specific enthalpy of water (any phase) in equilibrium
with saturated air at 101,325 Pa
Formulas derived from ASHARE Fundamentals Book, Chapter 6, Table 1.
This function should be expanded to cover pressures other than 101,325
Pa. Therefore, the pressure is used as an input parameter if CalcIce is
True, Hw is calculated for ice at triple point (saturation) (T=0.01°C)
H = f (P, T) [kJ/kg] 
Hw_P_T(P,T,Optional:CalcIce) 
kJ/kg 
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General: Specific Enthalpy of Saturated Steam 
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Specific enthalpy of saturated steam for a given
pressure
H = f(P) [kJ/kg] 
Hg_P(P) 
kJ/kg 
Temperature 
T 
°C 
Specific enthalpy of saturated steam for a given
temperature
H = f(T) [kJ/kg] 
Hg_T(T) 
kJ/kg 
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Moist Air Properties from Pressure, Temperature and Relative
Humidity
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Dry Bulb Temperature 
T 
°C 
Relative Humidity 
RH 

Partial Pressure of Water Vapour
Pw = f(P, T, RH) [Pa] 
WPartP_RH(P,t,RH) 
Pa 
Degree of Saturation
µ = f(P, T, RH) [] 
DegreeOfSat_RH(P,t,RH) 
 
Density of Moist Air
Rho = f(P, T, RH) [kg/m³] 
DensMoistAir_RH(P,t,RH) 
kg/m³ 
Volume of Moist Air Mixture (per Unit Mass of Dry Air)
v = f(P, T, RH) [m³/kg] 
VolMoistMix_RH(P,t,RH) 
m³/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Dry Air
h = f(P, T, RH) [kJ/kg dry air] 
EnthalpyMoistAir_RH(P,t,RH) 
kJ/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Mixture
hm = f(P, T, RH) [kJ/kg mix] 
EnthalpyMix_RH(P,t,RH) 
kJ/kg mix 
Dewpoint of Moist Air
Td = f(P, T, RH) [°C] 
DewPoint_RH(P,t,RH) 
°C 
Wet Bulb Temperature of Moist Air
Twb = f(P, T, RH) [°C] 
WetBulb_RH(P,t,RH) 
°C 
Mixing Ratio
W = f(P, T, RH) [kg/kg] 
MixRatio_RH(P,t,RH) 
kg/kg 
Relative Humidity 
RH 

Top of Page
Moist Air Properties from Pressure, Temperature and
Mixing Ratio
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Dry Bulb Temperature 
T 
°C 
Mixing Ratio 
W 
kg/kg 
Partial Pressure of Water Vapour
Pw = f(P, T, W) [Pa] 
WPartP_W(P,t,W) 
Pa 
Degree of Saturation
µ = f(P, T, W) [] 
DegreeOfSat_RH(P,t,W) 
 
Density of Moist Air
Rho = f(P, T, W) [kg/m³] 
DensMoistAir_W(P,t,W) 
kg/m³ 
Volume of Moist Air Mixture (per Unit Mass of Dry Air)
v = f(P, T, W) [m³/kg] 
VolMoistMix_W(P,t,W) 
m³/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Dry Air
h = f(P, T, W) [kJ/kg dry air] 
EnthalpyMoistAir_W(P,t,W) 
kJ/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Mixture
hm = f(P, T, W) [kJ/kg mix] 
=EnthalpyMix_W(P,t,W) 
kJ/kg mix 
Dewpoint of Moist Air
Td = f(P, T, W) [°C] 
DewPoint_W(P,t,W) 
°C 
Wet Bulb Temperature of Moist Air
Twb = f(P, T, W) [°C] 
WetBulb_W(P,t,W) 
°C 
Mixing Ratio 
W 

Relative Humidity
RH = f(P, T, W) [] 
RelHumidity_W(P,t,W) 

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Moist Air Properties from Pressure, Temperature and Wet
Bulb Temperature
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Dry Bulb Temperature 
T 
°C 
Wet Bulb Temperature 
Twb 
°C 
Duct Inside Wall Temperature 
Too 
°C 
Duct velocity 
V 
m/s 
Wet Bulb Diameter, default 0.007 m (7 mm) 
Dwb 
m 
Wet Bulb Emmittance [0 to 1], default 0.85 
Ewb 
 
Lewis Number [0.85 to 1], default 0.85 
Le 
 
Partial Pressure of Water Vapour
Pw = f(P, T, Twb) [Pa] 
WPartP_Twb(P,t,Twb) 
Pa 
Degree of Saturation
µ = f(P, T, Twb) [] 
DegreeOfSat_Twb(P,T,Twb) 
 
Density of Moist Air
Rho = f(P, T, Twb) [kg/m³] 
DensMoistAir_Twb(P,t,Twb) 
kg/m³ 
Volume of Moist Air Mixture (per Unit Mass of Dry Air)
v = f(P, T, Twb) [m³/kg] 
VolMoistMix_Twb(P,t,Twb) 
m³/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Dry Air
h = f(P, T, Twb) [kJ/kg dry air] 
EnthalpyMoistAir_Twb(P,t,Twb) 
kJ/kg dry air 
Enthalpy of Moist Air per Unit of Mass of Mixture
hm = f(P, T, Twb) [kJ/kg mix] 
EnthalpyMix_Twb(P,t,Twb) 
kJ/kg mix 
Dewpoint of Moist Air
Td = f(P, T, Twb) [°C] 
DewPoint_Twb(P,t,Twb) 
°C 
Wet Bulb Temperature 
Twb 
°C 
Mixing Ratio
W = f(P, T, Twb) [kg/kg] 
MixRatio_Twb(P,T,Twb) 
kg/kg 
Mixing ratio from Twb calculated for mass and heat
transfer
W = f(P, T, Twb, Too, V, Dwb, Ewb, Le) [kg/kg] 
MixRatio_Twb1(P,T,Twb,Too,V, Dwb,Ewb,Le) 
kg/kg 
Relative Humidity
RH = f(P, T, Twb) [] 
RelHumidity_Twb(P,T,Twb) 

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Heating and Cooling of a Moist Air Flow
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Mass Flow of Air 
Ma 
kg/s 
Dry Bulb Temperature at Inlet 
T1 
°C 
Mixing Ratio at Inlet 
W1 
kg/kg 
Heating or Cooling Power Between Inlet and Exit 
Q 
kW 
Temperature After Heating or Cooling Moist Air Flow
T2 = f(P, Ma, T1, W1, Q) [°C] 
Temp2_Q(P,Ma,T1,W1,Q) 
°C 
Mixing Ratio After Heating or Cooling Moist Air Flow
W2 = f(P, Ma, T1, W1, Q) [kg/kg] 
MixRatio2_Q(Ma,P,T1,W1,Q) 
kg/kg 
Condensate Water Flow Rate After Cooling Moist Air Flow
'Mc = f(P, Ma, T1, W1, Q) [kg/s] 
CondensateFlow_Q(Ma,P,T1, W1,Q) 
kg/s 
Pressure 
P 
Pa 
Mass Flow of Air 
Ma 
kg/s 
Dry Bulb Temperature at Inlet 
T1 
°C 
Dry Bulb Temperature at Exit 
T2 
°C 
Mixing Ratio at Inlet 
W1 
kg/kg 
Required Power for Heating or Cooling Moist Air Flow
Q = f(P, Ma, T1, T2, W1) [kW] 
Power_T2(P,Ma,T1,T2,W1) 
kW 
Mixing Ratio After Heating or Cooling Moist Air Flow
T2 = f(P, Ma, T1, T2, W1) [kg/kg] 
MixRatio2_T2(P,Ma,T1,T2,W1) 
kg/kg 
Condensate Water Flow Rate After Cooling Moist Air Flow
'Mc = f(P, Ma, T1, T2, W1) [kg/s] 
CondensateFlow_T2(P,Ma,T1, T2,W1) 
kg/s 
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Adiabatic Mixing of Two Streams of Moist Air
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Mass Flow of Dry Air  Inlet Stream 1 
Ma1 
kg/s 
Mass Flow of Dry Air  Inlet Stream 2 
Ma2 
kg/s 
Dry Bulb Temperature  Inlet Stream 1 
T1 
°C 
Dry Bulb Temperature  Inlet Stream 2 
T2 
°C 
Mixing Ratio  Inlet Stream 1 
W1 
kg/kg 
Mixing Ratio  Inlet Stream 2 
W2 
kg/kg 
Enthalpy of Mixed Airstream
H3 = f(P, Ma1, Ma2, T1, T2, W1, W2) [°C] 
Enthalpy3_mix(P,Ma1,Ma2,T1,T2,W1,W2) 
kJ/kg dry air 
Temperature of Mixed Airstream
T3 = f(P, Ma1, Ma2, T1, T2, W1, W2) [°C] 
Temp3_mix(P,Ma1,Ma2,T1,T2,W1,W2) 
°C 
Mixing Ratio of Mixed Airstream
W3 = f(P, Ma1, Ma2, T1, T2, W1, W2) [kg/kg] 
MixRatio3_mix(P,Ma1,Ma2,T1,T2,W1,W2) 
kg/kg 
Condensate Water Flow Rate with Mixed Airstream
Mw3 = f(P, Ma1, Ma2, T1, T2, W1, W2) [kg/s] 
CondensateFlow3_mix(P,Ma1,Ma2,T1,T2, W1,W2) 
kg/s 
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Adiabatic Mixing of Moist Air with Injected Water or
Steam
Property 
Formula 
Unit 
Pressure 
P 
Pa 
Mass Flow of Air 
Ma 
kg/s 
Mass Flow of Injected Water 
Mw1 
kg/s 
Dry Bulb Air Temperature at Inlet 
Ta1 
°C 
Temperature of Injected Water 
Tw1 
°C 
Mixing Ratio at Inlet 
W1 
kg/kg 
Equivalent bypass factor (0<=B<=1)
B=1Mu, where Mu is Humidification efficiency
For Steam injection specify B as:
B = 1 (Steam Enthalpy based on pressure P)
B = 2 (Steam Enthalpy based on temperature Mw1) 
B 

Factor that determines where Tdap lies between Twb1 and
Tw2 (0<=C<=1)
(for C=0 Tadp=Tw1; for C=1 Tadp=Tw2; C>1 for B>0) 
C 

Exit Air Temperature after injecting water into moist
airflow
Ta2 = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [°C] 
AirTemp2_WI(P,Ma,Mw1, Ta1,Tw1,W1,B,C) 
°C 
Exit Water Temperature after injecting water into moist
airflow
Tw2 = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [°C] 
WaterTemp2_WI(P,Ma,Mw1, Ta1,Tw1,W1,B,C) 
°C 
Apparatus Dewpoint Temperature (injecting water into
moist airflow)
Tadp = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [°C] 
Tadp_WI(P,Ma,Mw1,Ta1,Tw1, W1,B,C) 
°C 
Exit Mixing Ratio after injecting water into moist
airflow
W2 = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [kg/kg] 
MixRatio2_WI(P,Ma,Mw1,Ta1, Tw1,W1,B,C) 
kg/kg 
Exit Relative Humidity
RH2 = (P,Ta2,W2) 
RelHumidity_W(P,Ta2,W2) 

Evaporated Injected Water
Mwe = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [kg/s] 
WaterEvap_WI(P,Ma,Mw1,Ta1, Tw1,W1,B,C) 
kg/s 
Exit Water Flow after injecting water into moist airflow
Mw2 = f(P, Ma, Mw1, Ta1, Tw1, W1, B, C) [kg/s] 
WaterFlow2_WI(P,Ma,Mw1,Ta1, Tw1,W1,B,C) 
kg/s 
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