6969namespace EnergyPlus {
7070
7171namespace ExtendedHI {
72- // Thermodynamic parameters
73- constexpr Real64 Ttrip = 273.16 ; // K
74- constexpr Real64 ptrip = 611.65 ; // Pa
75- constexpr Real64 E0v = 2.3740e6 ; // J/kg
76- constexpr Real64 E0s = 0.3337e6 ; // J/kg
77- constexpr Real64 rgasa = 287.04 ; // J/kg/K
78- constexpr Real64 rgasv = 461 .; // J/kg/K
79- constexpr Real64 cva = 719 .; // J/kg/K
80- constexpr Real64 cvv = 1418 .; // J/kg/K
81- constexpr Real64 cvl = 4119 .; // J/kg/K
82- constexpr Real64 cvs = 1861 .; // J/kg/K
83- constexpr Real64 cpa = cva + rgasa;
84- constexpr Real64 cpv = cvv + rgasv;
8572
8673 // The saturation vapor pressure
8774 Real64 pvstar (Real64 const T)
8875 {
76+ // Thermodynamic parameters
77+ constexpr Real64 Ttrip = 273.16 ; // K
78+ constexpr Real64 ptrip = 611.65 ; // Pa
79+ constexpr Real64 E0v = 2.3740e6 ; // J/kg
80+ constexpr Real64 E0s = 0.3337e6 ; // J/kg
81+ constexpr Real64 rgasa = 287.04 ; // J/kg/K
82+ constexpr Real64 rgasv = 461 .; // J/kg/K
83+ constexpr Real64 cva = 719 .; // J/kg/K
84+ constexpr Real64 cvv = 1418 .; // J/kg/K
85+ constexpr Real64 cvl = 4119 .; // J/kg/K
86+ constexpr Real64 cvs = 1861 .; // J/kg/K
87+ constexpr Real64 cpa = cva + rgasa;
88+ constexpr Real64 cpv = cvv + rgasv;
89+
8990 if (T == 0.0 ) {
9091 return 0.0 ;
9192 } else if (T < Ttrip) {
@@ -99,30 +100,33 @@ namespace ExtendedHI {
99100 // The latent heat of vaporization of water
100101 Real64 Le (Real64 const T)
101102 {
103+ // Thermodynamic parameters
104+ constexpr Real64 Ttrip = 273.16 ; // K
105+ constexpr Real64 E0v = 2.3740e6 ; // J/kg
106+ constexpr Real64 rgasv = 461 .; // J/kg/K
107+ constexpr Real64 cvv = 1418 .; // J/kg/K
108+ constexpr Real64 cvl = 4119 .; // J/kg/K
102109 return (E0v + (cvv - cvl) * (T - Ttrip) + rgasv * T);
103110 }
104111
105- // Thermoregulatory parameters
106- constexpr Real64 sigma = 5.67e-8 ; // W/m^2/K^4 , Stefan-Boltzmann constant
107- constexpr Real64 epsilon = 0.97 ; // , emissivity of surface, steadman1979
108- constexpr Real64 M = 83.6 ; // kg , mass of average US adults, fryar2018
109- constexpr Real64 H = 1.69 ; // m , height of average US adults, fryar2018
110- Real64 A = 0.202 * pow (M, 0.425 ) * pow(H, 0.725 ); // m^2 , DuBois formula, parson2014
111- constexpr Real64 cpc = 3492 .; // J/kg/K , specific heat capacity of core, gagge1972
112- Real64 C = M * cpc / A; // , heat capacity of core
113- constexpr Real64 r = 124 .; // Pa/K , Zf/Rf, steadman1979
114- constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
115- constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
116- constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
117- Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
118- Real64 L = Le(310 .); // , latent heat of vaporization at 310 K
119- constexpr Real64 p = 1.013e5 ; // Pa , atmospheric pressure
120- constexpr Real64 eta = 1.43e-6 ; // kg/J , "inhaled mass" / "metabolic rate", steadman1979
121- constexpr Real64 Pa0 = 1.6e3 ; // Pa , reference air vapor pressure in regions III, IV, V, VI, steadman1979
122-
123112 // Function to calculate respiratory heat loss, W/m^2
124113 Real64 Qv (Real64 const Ta, Real64 const Pa)
125114 {
115+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
116+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
117+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
118+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
119+ constexpr Real64 r = 124 .; // Pa/K , Zf/Rf, steadman1979
120+ constexpr Real64 eta = 1.43e-6 ; // kg/J , "inhaled mass" / "metabolic rate", steadman1979
121+ Real64 L = Le (310 .); // , latent heat of vaporization at 310 K
122+ constexpr Real64 p = 1.013e5 ; // Pa , atmospheric pressure
123+ constexpr Real64 rgasa = 287.04 ; // J/kg/K
124+ constexpr Real64 rgasv = 461 .; // J/kg/K
125+ constexpr Real64 cva = 719 .; // J/kg/K
126+ constexpr Real64 cvv = 1418 .; // J/kg/K
127+ constexpr Real64 cpa = cva + rgasa;
128+ constexpr Real64 cpv = cvv + rgasv;
129+
126130 return eta * Q * (cpa * (Tc - Ta) + L * rgasa / (p * rgasv) * (Pc - Pa));
127131 }
128132
@@ -135,6 +139,8 @@ namespace ExtendedHI {
135139 // Function to calculate heat transfer resistance through air, exposed part of skin, K m^2/W
136140 Real64 Ra (Real64 const Ts, Real64 const Ta)
137141 {
142+ constexpr Real64 sigma = 5.67e-8 ; // W/m^2/K^4 , Stefan-Boltzmann constant
143+ constexpr Real64 epsilon = 0.97 ; // , emissivity of surface, steadman1979
138144 constexpr Real64 hc = 17.4 ;
139145 constexpr Real64 phi_rad = 0.85 ;
140146 Real64 const hr = epsilon * phi_rad * sigma * (std::pow (Ts, 2 ) + std::pow (Ta, 2 )) * (Ts + Ta);
@@ -144,6 +150,8 @@ namespace ExtendedHI {
144150 // Function to calculate heat transfer resistance through air, clothed part of skin, K m^2/W
145151 Real64 Ra_bar (Real64 const Tf, Real64 const Ta)
146152 {
153+ constexpr Real64 sigma = 5.67e-8 ; // W/m^2/K^4 , Stefan-Boltzmann constant
154+ constexpr Real64 epsilon = 0.97 ; // , emissivity of surface, steadman1979
147155 constexpr Real64 hc = 11.6 ;
148156 constexpr Real64 phi_rad = 0.79 ;
149157 Real64 const hr = epsilon * phi_rad * sigma * (std::pow (Tf, 2 ) + std::pow (Ta, 2 )) * (Tf + Ta);
@@ -153,6 +161,8 @@ namespace ExtendedHI {
153161 // Function to calculate heat transfer resistance through air, when being naked, K m^2/W
154162 Real64 Ra_un (Real64 const Ts, Real64 const Ta)
155163 {
164+ constexpr Real64 sigma = 5.67e-8 ; // W/m^2/K^4 , Stefan-Boltzmann constant
165+ constexpr Real64 epsilon = 0.97 ; // , emissivity of surface, steadman1979
156166 constexpr Real64 hc = 12.3 ;
157167 constexpr Real64 phi_rad = 0.80 ;
158168 Real64 const hr = epsilon * phi_rad * sigma * (std::pow (Ts, 2 ) + std::pow (Ta, 2 )) * (Ts + Ta);
@@ -167,6 +177,10 @@ namespace ExtendedHI {
167177 constexpr Real64 maxIter = 100 ;
168178 Real64 find_eqvar_phi (EnergyPlusData &state, Real64 const Ta, Real64 const RH)
169179 {
180+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
181+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
182+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
183+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
170184
171185 Real64 phi = 0.84 ;
172186 Real64 const Pa = RH * pvstar (Ta);
@@ -193,6 +207,12 @@ namespace ExtendedHI {
193207
194208 Real64 find_eqvar_Rf (EnergyPlusData &state, Real64 const Ta, Real64 const RH)
195209 {
210+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
211+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
212+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
213+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
214+ constexpr Real64 r = 124 .; // Pa/K , Zf/Rf, steadman1979
215+
196216 Real64 Pa = RH * pvstar (Ta);
197217 constexpr Real64 Rs = 0.0387 ;
198218 constexpr Real64 phi = 0.84 ;
@@ -248,6 +268,15 @@ namespace ExtendedHI {
248268
249269 Real64 find_eqvar_rs (EnergyPlusData &state, Real64 const Ta, Real64 const RH)
250270 {
271+ constexpr Real64 M = 83.6 ; // kg , mass of average US adults, fryar2018
272+ constexpr Real64 H = 1.69 ; // m , height of average US adults, fryar2018
273+ Real64 A = 0.202 * pow (M, 0.425 ) * pow (H, 0.725 ); // m^2 , DuBois formula, parson2014
274+ constexpr Real64 cpc = 3492 .; // J/kg/K , specific heat capacity of core, gagge1972
275+ Real64 C = M * cpc / A; // , heat capacity of core
276+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
277+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
278+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
279+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
251280
252281 Real64 Pa = RH * pvstar (Ta);
253282 constexpr Real64 phi = 0.84 ;
@@ -314,6 +343,16 @@ namespace ExtendedHI {
314343
315344 Real64 find_eqvar_dTcdt (EnergyPlusData &state, Real64 const Ta, Real64 const RH)
316345 {
346+ constexpr Real64 M = 83.6 ; // kg , mass of average US adults, fryar2018
347+ constexpr Real64 H = 1.69 ; // m , height of average US adults, fryar2018
348+ Real64 A = 0.202 * pow (M, 0.425 ) * pow (H, 0.725 ); // m^2 , DuBois formula, parson2014
349+ constexpr Real64 cpc = 3492 .; // J/kg/K , specific heat capacity of core, gagge1972
350+ Real64 C = M * cpc / A; // , heat capacity of core
351+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
352+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
353+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
354+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
355+
317356 Real64 dTcdt = 0.0 ;
318357 Real64 const Pa = RH * pvstar (Ta);
319358 constexpr Real64 Rs = 0.0387 ;
@@ -354,6 +393,17 @@ namespace ExtendedHI {
354393 // given T and RH, returns a key and value pair
355394 Real64 find_eqvar_name_and_value (EnergyPlusData &state, Real64 const Ta, Real64 const RH, int &varname)
356395 {
396+ constexpr Real64 M = 83.6 ; // kg , mass of average US adults, fryar2018
397+ constexpr Real64 H = 1.69 ; // m , height of average US adults, fryar2018
398+ Real64 A = 0.202 * pow (M, 0.425 ) * pow (H, 0.725 ); // m^2 , DuBois formula, parson2014
399+ constexpr Real64 cpc = 3492 .; // J/kg/K , specific heat capacity of core, gagge1972
400+ Real64 C = M * cpc / A; // , heat capacity of core
401+ constexpr Real64 Q = 180 .; // W/m^2 , metabolic rate per skin area, steadman1979
402+ constexpr Real64 phi_salt = 0.9 ; // , vapor saturation pressure level of saline solution, steadman1979
403+ constexpr Real64 Tc = 310 .; // K , core temperature, steadman1979
404+ Real64 Pc = phi_salt * pvstar (Tc); // , core vapor pressure
405+ constexpr Real64 r = 124 .; // Pa/K , Zf/Rf, steadman1979
406+
357407 Real64 Pa = RH * pvstar (Ta);
358408 Real64 Rs = 0.0387 ;
359409 Real64 phi = 0.84 ;
@@ -452,6 +502,7 @@ namespace ExtendedHI {
452502 {
453503 Real64 T;
454504 int SolFla;
505+ constexpr Real64 Pa0 = 1.6e3 ; // Pa , reference air vapor pressure in regions III, IV, V, VI, steadman1979
455506
456507 if (eqvar_name == static_cast <int >(EqvarName::Phi)) {
457508 General::SolveRoot (
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