def Excess_Enthalpy_vector(rho,T,tau,delta,Tc,rho_c,parameter_set1,parameter_set2,parameter_set12,x_1,x_2):
from thermodynamic_functions.enthalpy_vector import enthalpy_vector
from thermodynamic_functions.pressure_vector import pressure_vector
from residual_pressure_pure_substance import residual_pressure_pure_substance
from scipy.optimize import leastsq
Enthalpy_of_mixture=enthalpy_vector(rho,T,tau,delta,Tc,rho_c,'mix',parameter_set1,parameter_set2,parameter_set12,x_1,x_2)
Pressure_of_mixture=pressure_vector(rho,T,tau,delta,'mix',parameter_set1,parameter_set2,parameter_set12,x_1,x_2,Tc,rho_c)
density_guess_component_1=Pressure_of_mixture/((parameter_set1['R']/parameter_set1['M_amu'])*T)
density_guess_component_2=Pressure_of_mixture/((parameter_set2['R']/parameter_set2['M_amu'])*T)
[density_component_1,message_1]=leastsq(residual_pressure_pure_substance,density_guess_component_1,args=(Pressure_of_mixture,T,parameter_set1))
[density_component_2,message_2]=leastsq(residual_pressure_pure_substance,density_guess_component_2,args=(Pressure_of_mixture,T,parameter_set2))
Tc1=parameter_set1['Tc']
Tc2=parameter_set2['Tc']
rho_c1=parameter_set1['rho_c']
rho_c2=parameter_set2['rho_c']
tau_1=Tc1/T
tau_2=Tc2/T
delta_1=density_component_1/parameter_set1['rho_c']
delta_2=density_component_2/parameter_set2['rho_c']
Enthalpy_component_1=enthalpy_vector(density_component_1,T,tau_1,delta_1,Tc1,rho_c1,'pure_substance',parameter_set1,parameter_set1,parameter_set1,1,1)
Enthalpy_component_2=enthalpy_vector(density_component_2,T,tau_2,delta_2,Tc2,rho_c2,'pure_substance',parameter_set2,parameter_set2,parameter_set2,1,1)
Excess_Enthalpy=Enthalpy_of_mixture-x_1*Enthalpy_component_1-x_2*Enthalpy_component_2
return Excess_Enthalpy
def residual_pressure_pure_substance(density, Pin, T, params):
from thermodynamic_functions.pressure_vector import pressure_vector
from pylab import shape
tau = params["Tc"] / T
delta = density / params["rho_c"]
Pcalc = pressure_vector(tau, delta, "pure_substance", params, 0, params, 0, 0, params["rho_c"], params["Tc"])
err = Pin - Pcalc
return err
def residual_pressure(density,Pin,T,h2_params,h2o_params,mix_params,x_h2,x_h2o):
from thermodynamic_functions.pressure_vector import pressure_vector
from thermodynamic_functions.enthalpy import enthalpy
from scale_tau_and_delta_kw import scale_tau_and_delta_kw
from pylab import shape
[tau,delta,Tc,rho_c]=scale_tau_and_delta_kw(T,density/mix_params['M_amu'],x_h2,x_h2o,h2_params['Tc'],h2o_params['Tc'],h2_params['rho_c']/h2_params['M_amu'],h2o_params['rho_c']/h2o_params['M_amu'],mix_params['BetaT'],mix_params['BetaV'],mix_params['GammaT'],mix_params['GammaV'])
Pcalc=pressure_vector(density,T,tau,delta,'mix',h2_params,h2o_params,mix_params,x_h2,x_h2o,rho_c,Tc)
err=Pin-Pcalc
return err
def residual_pressure_pure_substance(density,Pin,T,params):
from thermodynamic_functions.pressure_vector import pressure_vector
from numpy import shape
tau=params['Tc']/T
delta=density/params['rho_c']
Pcalc=pressure_vector(density,T,tau,delta,'pure_substance',params,params,params,0,0,0,0)
err=Pin-Pcalc
return err
[tau, delta, Tc, rho_c] = scale_tau_and_delta_kw(
T,
density / h2_ch4_mix_params["M_amu"],
x_h2,
x_ch4,
h2_params["Tc"],
ch4_params["Tc"],
h2_params["rho_c"] / h2_params["M_amu"],
ch4_params["rho_c"] / ch4_params["M_amu"],
h2_ch4_mix_params["BetaT"],
h2_ch4_mix_params["BetaV"],
h2_ch4_mix_params["GammaT"],
h2_ch4_mix_params["GammaV"],
)
P = pressure_vector(density, T, tau, delta, "mix", h2_params, ch4_params, h2_ch4_mix_params, x_h2, x_ch4, rho_c, Tc)
h = enthalpy_vector(density, T, tau, delta, Tc, rho_c, "mix", h2_params, ch4_params, h2_ch4_mix_params, x_h2, x_ch4)
Excess_h = Excess_Enthalpy_vector(
density, T, tau, delta, Tc, rho_c, h2_params, ch4_params, h2_ch4_mix_params, x_h2, x_ch4
)
B = Virial_B_vector(tau, h2_params, ch4_params, h2_ch4_mix_params, x_h2, x_ch4, rho_c, Tc, "mix")
C = Virial_C_vector(tau, h2_params, ch4_params, h2_ch4_mix_params, x_h2, x_ch4, rho_c, Tc, "mix")
print Excess_h # Excess Enthalpy in J/mol
print P - 1000 * P_refprop # Pressure in kPa
print h - M_amu * enthalpy_refprop # Enthalpy in J/mol M_amu used to convert from kJ/kg
print B
print C
print tau, delta
print P
# ...and BEHOLD! IT WORKS!
