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psyfunc.py
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#-------------------------------------------------------------------------------
# Name: Psyfunc.py
# Purpose:
#
# Author: Shibu
#
# Created: 16/06/2012
# Copyright: (c) Shibu 2012
# Licence: <your licence>
#-------------------------------------------------------------------------------
from __future__ import print_function
from math import nan, log, exp
#from decimal import *
Rgas = 8.314472
Mair = 0.028966
KILO = 1000.0
ZEROC = 273.15
INVALID = nan
def Tw_Tdp(T, Tdp, P):
"""
Calculates Wet Bulb from dewpoint
Args:
T(C),
Tdp(C)
P(Pa)
Returns:
Tdb(C)
"""
if Tdp <= T:
W = W_Tdp(Tdp, P)
return Tw_W(T, W, P)
else:
return INVALID
def Tw_Phi(T, Phi, P):
"""
Calculate wetbulb from RH
Parameters
----------
T : float
Drybulb (C).
Phi : float
RH (fraction).
P : float
Pressure (Pa).
Returns
-------
float
Tw (C).
"""
if (Phi >= 0 and Phi <= 1):
W = W_Phi(T, Phi, P)
return Tw_W(T, W, P)
else:
return INVALID
def Phi_Tdp(T, Tdp):
"""
Calculate RH from dewpoint
Parameters
----------
T : float
drybulb (C).
Tdp : float
Dewpoint (C).
Returns
-------
float
RH (Fraction).
"""
if (Tdp <= T):
Pv = Pvs_T(Tdp)
Pvs = Pvs_T(T)
return Pv / Pvs
else:
return INVALID
def Phi_Tw(T, Tw, P):
"""
Calculate RH from Wetbulb
Parameters
----------
T : TYPE
DESCRIPTION.
Tw : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Tw <= T):
W = W_Tw(T, Tw, P)
return Phi_W(T, W, P)
else:
return INVALID
def Tdp_Phi(T, Phi):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Phi : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Phi >= 0 and Phi <= 1):
Pv = Pv_Phi(T, Phi)
return Tdp_Pv(T, Pv)
else:
return INVALID
def Tdp_Tw(T, Tw, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Tw : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Tw <= T):
W = W_Tw(T, Tw, P)
return Tdp_W(T, W, P)
else:
return INVALID
def Pv_Phi(T, Phi):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Phi : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Phi >= 0 and Phi <= 1):
return Phi * Pvs_T(T)
else:
return INVALID
def Phi_Pv(T, Pv):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Pv : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Pv >= 0):
return Pv / Pvs_T(T)
else:
return INVALID
def Tdp_Pv(T, Pv):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Pv : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if Pv >= 0:
VP = float(Pv) / KILO
alpha = log(VP)
if (T >= 0 and T <= 93):
Tdp = 6.54 + 14.526 * alpha + 0.7389 * alpha * alpha + \
0.09486 * pow(alpha, 3) + 0.4569 * pow(VP, 0.1984)
elif (T < 0):
Tdp = 6.09 + 12.608 * alpha + 0.4959 * alpha * alpha
else:
Tdp = INVALID
return min(Tdp, T)
else:
return INVALID
def Pv_Tdp(Tdp):
"""
Parameters
----------
Tdp : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return Pvs_T(Tdp)
def Tw_W(T, W, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
Tdp = Tdp_W(T, W, P)
Twtemp1 = float(T)
Twtemp2 = float(Tdp)
Tw = (Twtemp1 + Twtemp2) / 2
while((Twtemp1 - Twtemp2) > 0.001):
Wstar = W_Tw(T, Tw, P)
if (Wstar > W):
Twtemp1 = Tw
else:
Twtemp2 = Tw
Tw = (Twtemp1 + Twtemp2) / 2
return Tw
else:
return INVALID
def W_Tw(T, Tw, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Tw : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if (Tw <= T):
if (T>= 0):
Wsstar = Ws_T(Tw, P)
return ((2501.0 - 2.326 * Tw) * Wsstar - 1.006 * (T - Tw)) / (2501.0 + 1.86 * T - 4.186 * Tw)
else:
Wsstar = Ws_T(Tw, P)
return ((2830.0 - 2.4 * Tw) * Wsstar - 1.006 * (T - Tw)) / (2830.0 + 1.86 * T - 2.1 * Tw)
else:
return INVALID
def W_Phi(T, Phi, P):
"""
Parameters
----------
T : Float
Drybulb (C)
Phi : Float
RH as fraction
P : Float
Pressure (Pa).
Returns
-------
TYPE
DESCRIPTION.
"""
if (Phi >= 0 and Phi <= 1):
Pv = Pv_Phi(T, Phi)
return W_Pv(Pv, P)
else:
return INVALID
def Phi_W(T, W, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
Pv = Pv_W(W, P)
return Phi_Pv(T, Pv)
else:
return INVALID
def W_Tdp(Tdp, P):
"""
Parameters
----------
Tdp : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
Pv = Pvs_T(Tdp)
return W_Pv(Pv, P)
def Tdp_W(T, W, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
Pv = Pv_W(W, P)
return Tdp_Pv(T, Pv)
else:
return INVALID
def W_Pv(Pv, P):
"""
Parameters
----------
Pv : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if Pv >= 0:
return 0.621945 * Pv / (P - Pv)
else:
return INVALID
def Pv_W(W, P):
"""
Parameters
----------
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
return P * W / (0.621945 + W)
def Hd_T(T):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return 1.006 * T * KILO
def Dd_T(T, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return (P / KILO) * Mair / (Rgas * CTOK(T))
def Vd_T(T, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return Rgas * CTOK(T) / ((P / KILO) * Mair)
def Pvs_T(T):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Returns
-------
None.
"""
if T >= -100 and T <= 200:
Tk = CTOK(T)
if (T >= -100 and T <= 0):
LnPws = (-5.6745359e3/Tk + 6.3924247 - 9.677843e-3 * Tk +
6.2215701e-7 * Tk *Tk + 2.0747825e-9 * pow(Tk, 3) -
9.484024E-13*pow(T, 4) + 4.1635019 * log(Tk))
## LnPws = (-5.6745359E+03/T + 6.3925247 - 9.677843E-03*T + 6.2215701E-07*T*T
## + 2.0747825E-09*pow(T, 3) - 9.484024E-13*pow(T, 4) + 4.1635019*log(T));
##
elif (T >0 and T <= 200):
LnPws = (-5.8002206e3/Tk + 1.3914993 - 4.8640239e-2 * Tk +
4.1764768e-5 * Tk * Tk - 1.4452093e-8 * pow(Tk, 3) + 6.5459673 * log(Tk))
else:
return INVALID
return exp(LnPws)
else:
return INVALID
def Ws_T(T, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
Pvs = Pvs_T(T)
return 0.621945 * Pvs / (P - Pvs)
def Hs_T(T, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return H_W(T, Ws_T(T, P))
def Pvdef(T, W, P):
"""
#Vapor Pressure Deficit
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
Phi = Phi_W(T, W, P)
return Pvs_T(T) * (1.0 - Phi)
else:
return INVALID
def Sw_W(T, W, P):
"""
#Degree of Saturation
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
return W / Ws_T(T, P)
else:
return INVALID
def H_W(T, W):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
return (1.006 * T + W * (2501.0 + 1.86 * T)) * KILO
else:
return INVALID
def V_W(T, W, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >= 0:
return 0.287042 * CTOK(T) * (1.0 + 1.607858 * W) / (P / KILO)
else:
return INVALID
def D_W(T, W, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
if W >=0:
return (1.0 + W) / V_W(T, W, P)
else:
return INVALID
def P_z(z):
"""
Parameters
----------
z : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return 101325.0 * pow(1.0 - 2.25577e-5 * z, 5.2559)
def T_z(z):
"""
Parameters
----------
z : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return 15 - 0.0065 * z
def Pz_P(T, z, P):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
z : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
Tcolumn = T + 0.0065 * z / 2
HtScale = 287.055 * CTOK(Tcolumn) / 9.807
return P * exp(z/HtScale)
def P_Pz(T, z, P0):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
z : TYPE
DESCRIPTION.
P0 : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return P0/Pz_P(T, z, 1.0)
def CTOK(T):
"""
Parameters
----------
T : TYPE
DESCRIPTION.
Returns
-------
TYPE
DESCRIPTION.
"""
return T + ZEROC
def T_TwW(Tw, W, P):
"""
Parameters
----------
Tw : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = Tw
while W_Tw(Ttemp, Tw, P) > W:
#print(Ttemp)
Ttemp += 0.01
return Ttemp
def T_HW(H, W):
"""
Parameters
----------
H : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = 0
while H_W(Ttemp, W) < H:
Ttemp += 0.01
return Ttemp
def Ts_H(H, P):
"""
Parameters
----------
H : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = -100
while Hs_T(Ttemp, P) < H:
Ttemp += 0.01
return Ttemp
def Ts_V(V, P):
"""
Parameters
----------
V : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = 0
Ws = Ws_T(Ttemp, P)
while V_W(Ttemp, Ws_T(Ttemp, P), P) < V:
Ttemp += 0.01
return Ttemp
def T_VW(V, W, P):
"""
Parameters
----------
V : TYPE
DESCRIPTION.
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = 0
while V_W(Ttemp, W, P) < V:
Ttemp += 0.01
return Ttemp
def Tsat_W(W, P):
"""
Parameters
----------
W : TYPE
DESCRIPTION.
P : TYPE
DESCRIPTION.
Returns
-------
Ttemp : TYPE
DESCRIPTION.
"""
Ttemp = -100.0
while W_Phi(Ttemp, 1.0, P) < W:
Ttemp += 0.01
return Ttemp
def main():
# print('\n')
# print ' Psychrometric Functions in Python'
## print '1) Phi_Tw(23.0, 16.0, 101325)*100 = ', 100 * Phi_Tw(23.0, 16.0, 101325)
# print '2) W_Tw(23, 16, 101325) = ', W_Tw(23, 16, 101325)
# print '3) Pvs_T(23) = ', Pvs_T(23)
# print '7) Tw_Phi(23,0.484, 101325) = ', Tw_Phi(23,0.484, 101325)
# print '8) Phi_Tdp(23, 11.577) = ', Phi_Tdp(23, 11.577)
# print '9) Tdp_Phi(23, 0.484) = ', Tdp_Phi(23, 0.484)
# print '10) Tdp_Tw(23,16, 101325) = ', Tdp_Tw(23,16, 101325)
# print '11) Pv_Phi(23, 0.484) = ', Pv_Phi(23, 0.484)
# print '12) Phi_Pv(23, 1363)*100 = ', 100*Phi_Pv(23, 1363)
# print '13) Tdp_Pv(23,1360) = ', Tdp_Pv(23,1360)
# print '14) Pv_Tdp(11.54) = ', Pv_Tdp(11.54)
# print '15) Tw_W(23, 0.00846284, 101325) = ', Tw_W(23, 0.00846284, 101325)
# print '16) W_Tw(23, 16, 101325) = ', W_Tw(23, 16, 101325)
# print '17) W_Phi(23, 0.484,101325) = ', W_Phi(23, 0.484,101325)
# print '18) Phi_W(23, 0.008463, 101325) *100 = ', 100*Phi_W(23, 0.008463, 101325)
# print '19) W_Tdp(11.56, 101325) = ', W_Tdp(11.56, 101325)
# print '20) Tdp_W(23, 0.008463, 101325) = ', Tdp_W(23, 0.008463, 101325)
# print '21) W_Pv(1360, 101325) = ', W_Pv(1360, 101325)
# print '22) Pv_W(0.008463, 101325) = ', Pv_W(0.008463, 101325)
# print '23) Hd_T(23) = ', Hd_T(23)
# print '24) Dd_T(23, 101325) = ', Dd_T(23, 101325)
# print '25) Vd_T(23, 101325) = ', Vd_T(23, 101325)
# print '26) Pvs_T(23) = ', Pvs_T(23)
# print '27) Ws_T(23, 101325) = ', Ws_T(23, 101325)
# print '28) Hs_T(23, 101325) = ', Hs_T(23, 101325)
# print '29) Pvdef(23, 0.00846284, 101325) = ', Pvdef(23, 0.00846284, 101325)
# print '30) Sw_W(23, 0.00846284, 101325) = ', Sw_W(23, 0.00846284, 101325)
# print '31) H_W(23, 0.00846284) = ', H_W(23, 0.00846284)
# print'32) V_W(23, 0.00846284, 101325) = ', V_W(23, 0.00846284, 101325)
# print '33) D_W(23, 0.00846284, 101325) = ', D_W(23, 0.00846284, 101325)
# print '34) P_z(10000) = ', P_z(10000)
# print '35) T_z(10000) = ', T_z(10000)
# print '36) Pz_P(-51.378, 10000, 26436) = ', Pz_P(-51.378, 10000, 26436)
# print '37) P_Pz(-51.378, 10000, 101325) = ', P_Pz(-51.378, 10000, 101325)
# print '38) T_TwW(16.0, 0.00846284, 101325) = ', T_TwW(16., 0.00846284, 101325)
# print '39) T_TwW(0, 0.000000, 101325) = ', T_TwW(0, 0.000000, 101325)
# print '40) Tw_W(23, 0.0084766284, 101325) = ', Tw_W(23, 0.0084766284, 101325)
# print '41) T_HW(H, W)(44665, 0.00847661629046) = ', T_HW(44665, 0.00847661629046)
# print '42) Ts_H(H, P)(44665, 101325) = ', Ts_H(44665, 101325)
# print '43) Ts_V(V, P)(0.850374429, 101325) = ', Ts_V(0.850374429, 101325)
# print '44) T_VW(V, W, P)(0.85, 0.00846, 101325)= ', T_VW(0.85, 0.00846, 101325)
print('\n')
print (' Psychrometric Functions in Python')
print('\n')
print ("1) Phi_Tw(23.0, 16.0, 101325)*100 = ", round(100 * Phi_Tw(23.0, 16.0, 101325), 2))
print ('2) W_Tw(23, 16, 101325) = ', round(W_Tw(23, 16, 101325), 6))
print ('3) Pvs_T(23) = ', round(Pvs_T(23), 2))
print ('4) Tdp_Tw(23, 16, 101325) = ', round(Tdp_Tw(23, 16, 101325), 2))
print ('5) Tw_Tdp(23, 11.57686419342, 101325) = ', round(Tw_Tdp(23, 11.57686419342, 101325), 2))
print ('6) W_Tdp(11.576, 101325) = ', round(W_Tdp(11.576, 101325), 6))
print ('7) Tw_Phi(23,0.484, 101325) = ', round(Tw_Phi(23,0.484, 101325), 2))
print ('8) Phi_Tdp(23, 11.577)*100 = ', round(100*Phi_Tdp(23, 11.577), 2))
print ('9) Tdp_Phi(23, 0.484) = ', round(Tdp_Phi(23, 0.484), 2))
print ('10) Tdp_Tw(23,16, 101325) = ', round(Tdp_Tw(23,16, 101325), 2))