def C_p_vector(delta,tau,component_params):
from helmholtz_functions.d_alpha_d_delta_vector import d_alpha_d_delta_vector
from helmholtz_functions.d_alpha_d_delta_d_tau_vector import d_alpha_d_delta_d_tau_vector
from helmholtz_functions.d_alpha_d_tau_d_tau_vector import d_alpha_d_tau_d_tau_vector
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector
from helmholtz_functions.d_alpha_d_delta_d_delta_vector import d_alpha_d_delta_d_delta_vector
from helmholtz_functions.ideal_helmholtz_from_coef_dtau_dtau_vector import ideal_helmholtz_from_coef_dtau_dtau_vector
from numpy import power
R_specific=component_params['R']/component_params['M_amu']
if(component_params['ideal_eqn_type']=='Cp'):
dalpha_o_tau_tau=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(component_params['ni'],component_params['ti'],component_params['vi'],component_params['ui'],component_params['R'],component_params['ho'],component_params['so'],component_params['rho_c']/component_params['M_amu'],component_params['Tc'],tau,delta,component_params['n_ideal_gas_terms_pow'],component_params['n_ideal_gas_terms_exp'],component_params['To'],component_params['rho_o'])
else:
dalpha_o_tau_tau=ideal_helmholtz_from_coef_dtau_dtau_vector(delta,tau,component_params['ideal_n'],component_params['ideal_gamma'])
dalpha_tau_tau=d_alpha_d_tau_d_tau_vector(tau,delta,component_params)
dalpha_delta=d_alpha_d_delta_vector(tau,delta,component_params)
dalpha_delta_tau=d_alpha_d_delta_d_tau_vector(tau,delta,component_params)
dalpha_delta_delta=d_alpha_d_delta_d_delta_vector(tau,delta,component_params)
cv=-1.0*R_specific*(tau*tau*(dalpha_o_tau_tau+dalpha_tau_tau))
cp=cv+R_specific*power((1.0+delta*dalpha_delta-delta*tau*dalpha_delta_tau),2)/(1.0+2.0*delta*dalpha_delta+delta*delta*dalpha_delta_delta)
#default is in kJ/kg-K convert to erg/K/mol for DeBoer's TCM
# kJ 1000J 1e7 ergs 1 kg M_amu g erg
#----- * ----- * --------- * ------ * -------- = -------
# kg*K kJ 1J 1000 g mol K mol
#cp*M_amu*1e7
return cp
def enthalpy_normal_h2(T,density):
from helmholtz_functions.ideal_helmholtz_energy_from_Cp_o_over_R import ideal_helmholtz_energy_from_Cp_o_over_R
from helmholtz_functions.ideal_helmholtz_energy_dtau_from_Cp_o_over_R import ideal_helmholtz_energy_dtau_from_Cp_o_over_R
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R
from helmholtz_functions.d_alpha_d_tau import d_alpha_d_tau
from helmholtz_functions.d_alpha_d_delta import d_alpha_d_delta
from helmholtz_functions.helmholtz_energy_residual import helmholtz_energy_residual
from helmholtz_functions.d_alpha_d_tau_d_tau import d_alpha_d_tau_d_tau
from helmholtz_functions.d_alpha_d_delta_d_delta import d_alpha_d_delta_d_delta
from helmholtz_functions.d_alpha_d_delta_d_tau import d_alpha_d_delta_d_tau
from helmholtz_functions.ideal_helmholtz_energy_from_Cp_o_over_R_vector import ideal_helmholtz_energy_from_Cp_o_over_R_vector
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector
from thermodynamic_functions.Virial_B_vector import Virial_B_vector
from math import sqrt
from pylab import zeros
from numpy import asarray
N_i=[-6.93643,0.01,2.1101,4.52059,0.732564,-1.34086,0.130985,-0.777414,0.351944,-0.0211716,0.0226312,0.032187,-0.0231752,0.0557346];
t_i=[0.6844,1,0.989,0.489,0.803,1.1444,1.409,1.754,1.311,4.187,5.646,0.791,7.249,2.986]
d_i=[1,4,1,1,2,2,3,1,3,2,1,3,1,1]
p_i=[0,0,0,0,0,0,0,1,1,0/1,0/1,0/1,0/1,0/1]
phi_i=[0,0,0,0,0,0,0,0,0,1.685,0.489,0.103,2.506,1.607]# Not, we need to use -sign here
Beta_i=[0,0,0,0,0,0,0,0,0, 0.171,0.2245,0.1304,0.2785,0.3967] #Note, we need to use - sign here
gamma_i=[0,0,0,0,0,0,0,0,0,0.7164,1.3444,1.4517,0.7204,1.5445]
D_i=[0,0,0,0,0,0,0,0,0,1.506,0.156,1.736,0.67,1.6620]
Tc=33.145
rho_c=15.508*2.01594 # mol/l -> kg/m^3 factors of 1000 liter converstion, and gram conversion cancel
delta=density/rho_c
tau=Tc/T
R=8.314472
R_hydrogen=R/2.01594
ni=2.5
ti=0.0
vi=[1.616,-0.4117,-0.792,0.758,1.217]
ui=[531,751,1989,2484,6859]
R=8.314472 #J/mol/K
ho = 7206.9069892047 #J/mol
so = 143.4846187346 #J/mol/K
n_power_terms=9
n_gaussian_terms=5
n_critical_terms=0
n_ideal_gas_terms_pow=0
n_ideal_gas_terms_exp=5
RES_a = zeros(len(ui))
RES_b = zeros(len(ui))
RES_B = zeros(len(ui))
RES_C = zeros(len(ui))
RES_D = zeros(len(ui))
RES_A = zeros(len(ui))
To=273.15
rho_o=((0.001/(R*To))*1000)
h2_component_params={'N_i':asarray([-6.93643,0.01,2.1101,4.52059,0.732564,-1.34086,0.130985,-0.777414,0.351944,-0.0211716,0.0226312,0.032187,-0.0231752,0.0557346]),
't_i':asarray([0.6844,1,0.989,0.489,0.803,1.1444,1.409,1.754,1.311,4.187,5.646,0.791,7.249,2.986]),
'd_i':asarray([1,4,1,1,2,2,3,1,3,2,1,3,1,1]),
'p_i':asarray([0,0,0,0,0,0,0,1,1,0/1,0/1,0/1,0/1,0/1]),
'phi_i':asarray([0,0,0,0,0,0,0,0,0,1.685,0.489,0.103,2.506,1.607]),
'Beta_i':asarray([0,0,0,0,0,0,0,0,0, 0.171,0.2245,0.1304,0.2785,0.3967]),
'gamma_i':asarray([0,0,0,0,0,0,0,0,0,0.7164,1.3444,1.4517,0.7204,1.5445]),
'D_i':asarray([0,0,0,0,0,0,0,0,0,1.506,0.156,1.736,0.67,1.6620]),
'Tc':float(33.145),
'rho_c':float(15.508*2.01594), # mol/l -> kg/m^3 factors of 1000 liter converstion, and gram conversion cancel
'R':float(8.314472),
'ni':float(2.5),
'ti':float(0.0),
'vi':asarray([1.616,-0.4117,-0.792,0.758,1.217]),
'ui':asarray([531,751,1989,2484,6859]),
#'R':float(8.314472) #J/mol/K
'ho':float(7206.9069892047), #J/mol
'so':float(143.4846187346), #J/mol/K
'n_power_terms':int(9),
'n_power_terms_wo_exp':int(7),
'n_power_terms_w_exp':int(2),
'n_gaussian_terms':int(5),
'n_critical_terms':int(0),
'n_ideal_gas_terms_pow':int(0),
'n_ideal_gas_terms_exp':int(5),
'RES_a':zeros(5),
'RES_b':zeros(5),
'RES_B':zeros(5),
'RES_C':zeros(5),
'RES_D':zeros(5),
'RES_A':zeros(5),
'To':float(273.15),
'rho_o':float((0.001/(8.314472*273.15))*1000),
'M_amu':float(2.01594),
'ideal_eqn_type':'Cp'}
tau_v=asarray([tau,tau])
delta_v=asarray([delta,delta])
Virial_b=Virial_B_vector(tau_v,h2_component_params,h2_component_params,h2_component_params,1.0,1.0,rho_c/2.01594,Tc,'pure')
#Calculate Ideal Terms
ideal=ideal_helmholtz_energy_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/2.01594,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
ideal_v=ideal_helmholtz_energy_from_Cp_o_over_R_vector(ni,ti,vi,ui,R,ho,so,rho_c/2.01594,Tc,tau_v,delta_v,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
#print ideal-ideal_v
dalpha_o=ideal_helmholtz_energy_dtau_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/2.01594,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
dalpha_o_tau_tau=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/2.01594,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
dalpha_o_tau_tau_vector=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(ni,ti,vi,ui,R,ho,so,rho_c/2.01594,Tc,tau_v,delta_v,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
#print dalpha_o_tau_tau-dalpha_o_tau_tau_vector
#Calculate Residual Terms
residual=helmholtz_energy_residual(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_tau=d_alpha_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta=d_alpha_d_delta(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
print T, Virial_b,dalpha_delta
dalpha_tau_tau=d_alpha_d_tau_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta_delta=d_alpha_d_delta_d_delta(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta_tau=d_alpha_d_delta_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
#compressibility Density<-->Pressure
Z=delta*dalpha_delta+float(1.0)
#Enthalpy
h1=R_hydrogen*T*1.0
h2=R_hydrogen*T*tau*(dalpha_o+dalpha_tau)
h3=R_hydrogen*T*delta*dalpha_delta
h=h1+h2+h3
#Entropy
s=R_hydrogen*(tau*dalpha_o+tau*dalpha_tau-ideal-residual)
#Absolute Helmholtz Energy
absolute_helmholtz_energy=R_hydrogen*T*(ideal+residual)
#Isochoric heat capacity
cv=-1.0*R_hydrogen*(tau*tau*(dalpha_o_tau_tau+dalpha_tau_tau))
#Isobaric heat capacity
cp=cv+R_hydrogen*pow((1.0+delta*dalpha_delta-delta*tau*dalpha_delta_tau),2)/(1.0+2.0*delta*dalpha_delta+delta*delta*dalpha_delta_delta)
# Speed of Sound?
a1 = 1 + delta*dalpha_delta - delta*tau*dalpha_delta_tau;
b1 = tau*tau*(dalpha_o_tau_tau + dalpha_tau_tau);
w = 1 + 2*delta*dalpha_delta + delta*delta*dalpha_delta_delta - a1*a1/b1;
speed_o_sound=sqrt(R_hydrogen*T*w*1000)
return Z,h,s,absolute_helmholtz_energy,cv,cp,speed_o_sound,R_hydrogen*T*ideal,residual*R_hydrogen*T
def C_p_vector_mix(density,T,delta,tau,component_params1,component_params2,component_params3,component_params4,component_params12,component_params14,x_1,x_2,x_3,x_4):
from helmholtz_functions.d_alpha_d_delta_vector import d_alpha_d_delta_vector
from helmholtz_functions.d_alpha_d_delta_d_tau_vector import d_alpha_d_delta_d_tau_vector
from helmholtz_functions.d_alpha_d_tau_d_tau_vector import d_alpha_d_tau_d_tau_vector
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector
from helmholtz_functions.d_alpha_d_delta_d_delta_vector import d_alpha_d_delta_d_delta_vector
from helmholtz_functions.ideal_helmholtz_from_coef_dtau_dtau_vector import ideal_helmholtz_from_coef_dtau_dtau_vector
from numpy import power
if(component_params1['ideal_eqn_type']=='Cp'):
dalpha_o_tau_tau1=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(component_params1['ni'],component_params1['ti'],component_params1['vi'],component_params1['ui'],component_params1['R'],component_params1['ho'],component_params1['so'],component_params1['rho_c']/component_params1['M_amu'],component_params1['Tc'],component_params1['Tc']/T,density/component_params1['rho_c'],component_params1['n_ideal_gas_terms_pow'],component_params1['n_ideal_gas_terms_exp'],component_params1['To'],component_params1['rho_o'])
else:
dalpha_o_tau_tau1=ideal_helmholtz_from_coef_dtau_dtau_vector(density/component_params1['rho_c'],component_params1['Tc']/T,component_params1['ideal_n'],component_params1['ideal_gamma'])
if(component_params2['ideal_eqn_type']=='Cp'):
dalpha_o_tau_tau2=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(component_params2['ni'],component_params2['ti'],component_params2['vi'],component_params2['ui'],component_params2['R'],component_params2['ho'],component_params2['so'],component_params2['rho_c'],component_params2['Tc'],component_params2['Tc']/T,density/component_params2['rho_c'],component_params2['n_ideal_gas_terms_pow'],component_params2['n_ideal_gas_terms_exp'],component_params2['To'],component_params2['rho_o'])
else:
dalpha_o_tau_tau2=ideal_helmholtz_from_coef_dtau_dtau_vector(density/component_params2['rho_c'],component_params2['Tc']/T,component_params2['ideal_n'],component_params2['ideal_gamma'])
if(component_params3['ideal_eqn_type']=='Cp'):
dalpha_o_tau_tau3=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(component_params3['ni'],component_params3['ti'],component_params3['vi'],component_params3['ui'],component_params3['R'],component_params3['ho'],component_params3['so'],component_params3['rho_c'],component_params3['Tc'],component_params3['Tc']/T,density/component_params3['rho_c'],component_params3['n_ideal_gas_terms_pow'],component_params3['n_ideal_gas_terms_exp'],component_params3['To'],component_params3['rho_o'])
else:
dalpha_o_tau_tau3=ideal_helmholtz_from_coef_dtau_dtau_vector(density/component_params3['rho_c'],component_params3['Tc']/T,component_params3['ideal_n'],component_params3['ideal_gamma'])
if(component_params4['ideal_eqn_type']=='Cp'):
dalpha_o_tau_tau4=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(component_params4['ni'],component_params4['ti'],component_params4['vi'],component_params4['ui'],component_params4['R'],component_params4['ho'],component_params4['so'],component_params4['rho_c'],component_params4['Tc'],component_params4['Tc']/T,density/component_params4['rho_c'],component_params4['n_ideal_gas_terms_pow'],component_params4['n_ideal_gas_terms_exp'],component_params4['To'],component_params4['rho_o'])
else:
dalpha_o_tau_tau4=ideal_helmholtz_from_coef_dtau_dtau_vector(density/component_params4['rho_c'],component_params['Tc']/T,component_params4['ideal_n'],component_params4['ideal_gamma'])
dalpha_tau_tau1=d_alpha_d_tau_d_tau_vector(tau,delta,component_params1)
dalpha_delta1=d_alpha_d_delta_vector(tau,delta,component_params1)
dalpha_delta_tau1=d_alpha_d_delta_d_tau_vector(tau,delta,component_params1)
dalpha_delta_delta1=d_alpha_d_delta_d_delta_vector(tau,delta,component_params1)
dalpha_tau_tau2=d_alpha_d_tau_d_tau_vector(tau,delta,component_params2)
dalpha_delta2=d_alpha_d_delta_vector(tau,delta,component_params2)
dalpha_delta_tau2=d_alpha_d_delta_d_tau_vector(tau,delta,component_params2)
dalpha_delta_delta2=d_alpha_d_delta_d_delta_vector(tau,delta,component_params2)
dalpha_tau_tau3=d_alpha_d_tau_d_tau_vector(tau,delta,component_params3)
dalpha_delta3=d_alpha_d_delta_vector(tau,delta,component_params3)
dalpha_delta_tau3=d_alpha_d_delta_d_tau_vector(tau,delta,component_params3)
dalpha_delta_delta3=d_alpha_d_delta_d_delta_vector(tau,delta,component_params3)
dalpha_tau_tau4=d_alpha_d_tau_d_tau_vector(tau,delta,component_params4)
dalpha_delta4=d_alpha_d_delta_vector(tau,delta,component_params4)
dalpha_delta_tau4=d_alpha_d_delta_d_tau_vector(tau,delta,component_params4)
dalpha_delta_delta4=d_alpha_d_delta_d_delta_vector(tau,delta,component_params4)
dalpha_tau_tau12=d_alpha_d_tau_d_tau_vector(tau,delta,component_params12)
dalpha_delta12=d_alpha_d_delta_vector(tau,delta,component_params12)
dalpha_delta_tau12=d_alpha_d_delta_d_tau_vector(tau,delta,component_params12)
dalpha_delta_delta12=d_alpha_d_delta_d_delta_vector(tau,delta,component_params12)
dalpha_tau_tau14=d_alpha_d_tau_d_tau_vector(tau,delta,component_params14)
dalpha_delta14=d_alpha_d_delta_vector(tau,delta,component_params14)
dalpha_delta_tau14=d_alpha_d_delta_d_tau_vector(tau,delta,component_params14)
dalpha_delta_delta14=d_alpha_d_delta_d_delta_vector(tau,delta,component_params14)
dalpha_tau_tau=x_1*dalpha_tau_tau1+x_2*dalpha_tau_tau2 +x_3*dalpha_tau_tau3 +x_4*dalpha_tau_tau4 +x_1*x_2*dalpha_tau_tau12 + x_1*x_4*dalpha_tau_tau14
dalpha_delta=x_1*dalpha_delta1+x_2*dalpha_delta2+x_3*dalpha_delta3+x_4*dalpha_delta4+x_1*x_2*dalpha_delta12+x_1*x_4*dalpha_delta14
dalpha_delta_tau=x_1*dalpha_delta_tau1+x_2*dalpha_delta_tau2+x_3*dalpha_delta_tau3+x_4*dalpha_delta_tau4 +x_1*x_2*dalpha_delta_tau12+ x_1*x_4*dalpha_delta_tau14
dalpha_delta_delta=x_1*dalpha_delta_delta1+x_2*dalpha_delta_delta2+ x_3*dalpha_delta_delta3 + x_4*dalpha_delta_delta4 + x_1*x_2*dalpha_delta_delta12 +x_1*x_4*dalpha_delta_delta14
tau1=component_params1['Tc']/T
tau2=component_params2['Tc']/T
tau3=component_params3['Tc']/T
tau4=component_params4['Tc']/T
#unlike the pure component, its just easier to do things in terms of moles,
# then convert to per/kg, then ergs for DeBoers stuff...
R_ideal12=component_params12['R']#/component_params12['M_amu']
Ri1=component_params1['R']#/component_params1['M_amu']
Ri2=component_params2['R']#/component_params2['M_amu']
Ri3=component_params3['R']
Ri4=component_params4['R']
ave_R=(x_1*Ri1+x_2*Ri2 +x_3*Ri3+x_4*Ri4)/(x_1+x_2+x_3+x_4)
cv_r=-1.0*ave_R*(tau*tau*(dalpha_tau_tau))
cv_o=x_1*(-1.0)*Ri1*(tau1*tau1*dalpha_o_tau_tau1)+x_2*(-1.0)*Ri2*(tau2*tau2*dalpha_o_tau_tau2)+x_3*(-1.0)*Ri3*(tau3*tau3*dalpha_o_tau_tau3)+x_4*(-1.0)*Ri4*(tau4*tau4*dalpha_o_tau_tau4)
cp_mol=cv_r+cv_o+ave_R*power((1.0+delta*dalpha_delta-delta*tau*dalpha_delta_tau),2)/(1.0+2.0*delta*dalpha_delta+delta*delta*dalpha_delta_delta)
#(the above gives J/(mol K)
# now convert to kJ/(kg-K)
M_ave=x_1*component_params1['M_amu']+x_2*component_params2['M_amu']+x_3*component_params3['M_amu']+x_4*component_params4['M_amu']
cp=cp_mol/M_ave#component_params12['M_amu']
#default is in kJ/kg-K convert to erg/K/mol for DeBoer's TCM
# kJ 1000J 1e7 ergs 1 kg M_amu g erg
#----- * ----- * --------- * ------ * -------- = -------
# kg*K kJ 1J 1000 g mol K mol
cp*M_ave*1e7
return cp
def enthalpy_methane(T,density):
from helmholtz_functions.ideal_helmholtz_energy_from_Cp_o_over_R import ideal_helmholtz_energy_from_Cp_o_over_R
from helmholtz_functions.ideal_helmholtz_energy_dtau_from_Cp_o_over_R import ideal_helmholtz_energy_dtau_from_Cp_o_over_R
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R
from helmholtz_functions.d_alpha_d_tau import d_alpha_d_tau
from helmholtz_functions.d_alpha_d_delta import d_alpha_d_delta
from helmholtz_functions.helmholtz_energy_residual import helmholtz_energy_residual
from helmholtz_functions.d_alpha_d_tau_d_tau import d_alpha_d_tau_d_tau
from helmholtz_functions.d_alpha_d_delta_d_delta import d_alpha_d_delta_d_delta
from helmholtz_functions.d_alpha_d_delta_d_tau import d_alpha_d_delta_d_tau
from helmholtz_functions.ideal_helmholtz_energy_from_Cp_o_over_R_vector import ideal_helmholtz_energy_from_Cp_o_over_R_vector
from helmholtz_functions.ideal_helmholtz_energy_dtau_from_Cp_o_over_R_vector import ideal_helmholtz_energy_dtau_from_Cp_o_over_R_vector
from helmholtz_functions.ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector import ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector
from thermodynamic_functions.Virial_B_vector import Virial_B_vector
from math import sqrt
from pylab import zeros
from numpy import asarray
N_i=[0.43679010280e-01,
0.67092361990,
-0.17655778590e01,
0.85823302410,
-0.12065130520e01,
0.51204672200,
-0.40000107910e-03 ,
-0.12478424230e-01,
0.31002697010e-01,
0.17547485220e-02,
-0.31719216050e-05,
-0.22403468400e-05,
0.29470561560e-06,
0.18304879090,
0.15118836790,
-0.42893638770,
0.68940024460e-01,
-0.14083139960e-01,
-0.30630548300e-01,
-0.29699067080e-01,
-0.19320408310e-01,
-0.11057399590,
0.99525489950e-01,
0.85484378250e-02,
-0.61505556620e-01,
-0.42917924230e-01,
-0.18132072900e-01,
0.34459047600e-01,
-0.23859194500e-02,
-0.11590949390e-01,
0.66416936020e-01,
-0.23715495900e-01,
-0.39616249050e-01,
-0.13872920440e-01,
0.33894895990e-01,
-0.29273787530e-02,
0.93247999460e-04,
-0.62871715180e01,
0.12710694670e02,
-0.64239534660e01]
t_i= [-0.5,
0.5,
1.0,
0.5,
1.0,
1.5,
4.5,
0.0,
1.0,
3.0,
1.0,
3.0,
3.0,
0.0,
1.0,
2.0,
0.0,
0.0,
2.0,
2.0,
5.0,
5.0,
5.0,
2.0,
4.0,
12.0,
8.0,
10.0,
10.0,
10.0,
14.0,
12.0,
18.0,
22.0,
18.0,
14.0,
2.0,
0.0,
1.0,
2.0]
d_i=[1.0,
1.0,
1.0,
2.0,
2.0,
2.0,
2.0,
3.0,
4.0,
4.0,
8.0,
9.0,
10.0,
1.0,
1.0,
1.0,
2.0,
4.0,
5.0,
6.0,
1.0,
2.0,
3.0,
4.0,
4.0,
3.0,
5.0,
5.0,
8.0,
2.0,
3.0,
4.0,
4.0,
4.0,
5.0,
6.0,
2.0,
0.0,
0.0,
0.0]
p_i=[0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
1,
1,
1,
1,
1,
2,
2,
2,
2,
2,
3,
3,
3,
3,
4,
4,
4,
4,
4,
4,
4,
0/1,
0/1,
0/1,
0/1]
phi_i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20.0,40.0,40.0,40.0]# Not, we need to use -sign here
Beta_i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,200,250,250,250] #Note, we need to use - sign here
gamma_i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.07,1.11,1.11,1.11]
D_i=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.0,1.0,1.0,1.0]
Tc=190.564
rho_c=10.139128*16.0428 # mol/l -> kg/m^3 factors of 1000 liter converstion, and gram conversion cancel
delta=density/rho_c
tau=Tc/T
R=8.31451
R_methane=R/16.0428
ni=4.0016
ti=0
vi=[0.84490000e-02,4.6942000,3.4865000,1.6572000,1.4115000]
ui=[648.0,1957.0,3895.0,5705.0,15080.0]
R=8.31451 #J/mol/K
ho = 8295.6883966242294 #J/mol - -
so = 28.384819963016852 #J/mol/K
rho_o=26.326811491312679 #mol/L
To=111.66720547358069
n_power_terms=36
n_gaussian_terms=4
n_critical_terms=0
n_ideal_gas_terms_pow=0
n_ideal_gas_terms_exp=5
RES_a = zeros(len(ui))
RES_b = zeros(len(ui))
RES_B = zeros(len(ui))
RES_C = zeros(len(ui))
RES_D = zeros(len(ui))
RES_A = zeros(len(ui))
ch4_component_params={'N_i':asarray([0.43679010280e-01,0.67092361990, -0.17655778590e01, 0.85823302410, -0.12065130520e01,0.51204672200, -0.40000107910e-03 ,-0.12478424230e-01,0.31002697010e-01,0.17547485220e-02,-0.31719216050e-05,-0.22403468400e-05,0.29470561560e-06,0.18304879090, 0.15118836790,-0.42893638770,0.68940024460e-01,-0.14083139960e-01,-0.30630548300e-01,-0.29699067080e-01,-0.19320408310e-01,-0.11057399590,0.99525489950e-01,0.85484378250e-02, -0.61505556620e-01,-0.42917924230e-01,-0.18132072900e-01,0.34459047600e-01,-0.23859194500e-02,-0.11590949390e-01,0.66416936020e-01,-0.23715495900e-01, -0.39616249050e-01, -0.13872920440e-01,0.33894895990e-01,-0.29273787530e-02,0.93247999460e-04,-0.62871715180e+01,0.12710694670e+02,-0.64239534660e+01]),
't_i':asarray([-0.5, 0.5,1.0,0.5,1.0,1.5,4.5,0.0,1.0,3.0,1.0,3.0,3.0,0.0,1.0,2.0,0.0,0.0,2.0,2.0,5.0,5.0,5.0,2.0,4.0,12.0,8.0,10.0,10.0,10.0,14.0,12.0,18.0,22.0,18.0,14.0,2.0,0.0,1.0,2.0]),
'd_i':asarray([1.0,1.0,1.0,2.0,2.0,2.0,2.0,3.0,4.0,4.0,8.0,9.0,10.0,1.0,1.0,1.0,2.0,4.0,5.0,6.0,1.0,2.0,3.0,4.0,4.0,3.0,5.0,5.0,8.0,2.0,3.0,4.0,4.0,4.0,5.0,6.0,2.0,0.0,0.0,0.0]),
'p_i':asarray([0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,2,2,2,2]),
'phi_i':asarray([0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20.0,40.0,40.0,40.0]),
'Beta_i':asarray([0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,200,250,250,250]),
'gamma_i':asarray([0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.07,1.11,1.11,1.11]),
'D_i':asarray([0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1]),
'Tc':float(190.564),
'rho_c':float(10.139128*16.0428), # mol/l -> kg/m^3 factors of 1000 liter converstion, and gram conversion cancel
'R':float(8.31451),
'ni':float(4.0016),
'ti':float(0.0),
'vi':asarray([0.84490000e-02,4.6942000,3.4865000,1.6572000,1.4115000]),
'ui':asarray([648.0,1957.0,3895.0,5705.0,15080.0]),
#'R':float(8.314472) #J/mol/K
'ho':float(8295.6883966242294), #J/mol
'so':float(28.384819963016852), #J/mol/K
'n_power_terms':int(36),
'n_power_terms_wo_exp':int(13),
'n_power_terms_w_exp':int(36-13),
'n_gaussian_terms':int(4),
'n_critical_terms':int(0),
'n_ideal_gas_terms_pow':int(0),
'n_ideal_gas_terms_exp':int(5),
'RES_a':zeros(4),
'RES_b':zeros(4),
'RES_B':zeros(4),
'RES_C':zeros(4),
'RES_D':zeros(4),
'RES_A':zeros(4),
'To':float(111.66720547358069),
'rho_o':float(26.326811491312679),
'M_amu':float(16.0428),
'ideal_eqn_type':'Cp'}
tau_v=asarray([tau,tau])
delta_v=asarray([delta,delta])
Virial_b=Virial_B_vector(tau_v,ch4_component_params,ch4_component_params,ch4_component_params,1.0,1.0,rho_c/16.0428,Tc,'pure')
#Calculate Ideal Terms
ideal=ideal_helmholtz_energy_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
ideal_v=ideal_helmholtz_energy_from_Cp_o_over_R_vector(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau_v,delta_v,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
#print ideal-ideal_v
dalpha_o=ideal_helmholtz_energy_dtau_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
dalpha_o_v=ideal_helmholtz_energy_dtau_from_Cp_o_over_R_vector(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau_v,delta_v,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
print dalpha_o-dalpha_o_v
dalpha_o_tau_tau=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau,delta,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
dalpha_o_tau_tau_vector=ideal_helmholtz_energy_dtau_dtau_from_Cp_o_over_R_vector(ni,ti,vi,ui,R,ho,so,rho_c/16.0428,Tc,tau_v,delta_v,n_ideal_gas_terms_pow,n_ideal_gas_terms_exp,To,rho_o)
#print dalpha_o_tau_tau-dalpha_o_tau_tau_vector
#Calculate Residual Terms
residual=helmholtz_energy_residual(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_tau=d_alpha_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta=d_alpha_d_delta(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_tau_tau=d_alpha_d_tau_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta_delta=d_alpha_d_delta_d_delta(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
dalpha_delta_tau=d_alpha_d_delta_d_tau(tau,delta,N_i,t_i,d_i,p_i,phi_i,Beta_i,gamma_i,D_i,n_power_terms,n_gaussian_terms,n_critical_terms,RES_a,RES_b,RES_B,RES_C,RES_D,RES_A)
#compressibility Density<-->Pressure
Z=delta*dalpha_delta+float(1.0)
#Enthalpy
h1=R_methane*T*1.0
h2=R_methane*T*tau*(dalpha_o+dalpha_tau)
h3=R_methane*T*delta*dalpha_delta
h=h1+h2+h3
#Entropy
s=R_methane*(tau*dalpha_o+tau*dalpha_tau-ideal-residual)
#Absolute Helmholtz Energy
absolute_helmholtz_energy=R_methane*T*(ideal+residual)
#Isochoric heat capacity
cv=-1.0*R_methane*(tau*tau*(dalpha_o_tau_tau+dalpha_tau_tau))
#Isobaric heat capacity
cp=cv+R_methane*pow((1.0+delta*dalpha_delta-delta*tau*dalpha_delta_tau),2)/(1.0+2.0*delta*dalpha_delta+delta*delta*dalpha_delta_delta)
# Speed of Sound?
a1 = 1 + delta*dalpha_delta - delta*tau*dalpha_delta_tau;
b1 = tau*tau*(dalpha_o_tau_tau + dalpha_tau_tau);
w = 1 + 2*delta*dalpha_delta + delta*delta*dalpha_delta_delta - a1*a1/b1;
speed_o_sound=sqrt(R_methane*T*w*1000)
return Z,h,s,absolute_helmholtz_energy,cv,cp,speed_o_sound,R_methane*T*ideal,residual*R_methane*T
