def induction_length(self,
cj_speed=False,
P1=False,
T1=False,
q=False,
mech=False,
t_end=1e-5):
# Assign default values innit
if cj_speed is False:
cj_speed = self.cj_speed
if P1 is False:
P1 = self.P1
if T1 is False:
T1 = self.T1
if q is False:
q = self.q
if mech is False:
mech = self.SDTmech
# Set up gas object
gas1 = ct.Solution(mech)
gas1.TPX = T1, P1, q
# Find post-shock conditions
gas = PostShock_fr(cj_speed, P1, T1, q, mech)
# Solve ZND ODEs to find the width of the ZND "plateau"
znd_out = zndsolve(gas,
gas1,
cj_speed,
t_end=t_end,
advanced_output=True)
plateau_length = znd_out['ind_len_ZND']
return plateau_length
import cantera as ct
P1 = 100000
T1 = 300
q = 'H2:2 O2:1 N2:3.76'
mech = 'Mevel2017.cti'
file_name = 'h2air'
# Find CJ speed and related data, make CJ diagnostic plots
cj_speed, R2, plot_data = CJspeed(P1, T1, q, mech, fullOutput=True)
CJspeed_plot(plot_data, cj_speed)
# Set up gas object
gas1 = ct.Solution(mech)
gas1.TPX = T1, P1, q
# Find post shock state for given speed
gas = PostShock_fr(cj_speed, P1, T1, q, mech)
# Solve ZND ODEs, make ZND plots
znd_out = zndsolve(gas, gas1, cj_speed, t_end=1e-5, advanced_output=True)
znd_plot(znd_out)
znd_fileout(file_name, znd_out)
print('Reaction zone pulse width (exothermic length) = %.4g m' %
znd_out['exo_len_ZND'])
print('Reaction zone induction length = %.4g m' % znd_out['ind_len_ZND'])
print('Reaction zone pulse time (exothermic time) = %.4g s' %
znd_out['exo_time_ZND'])
print('Reaction zone induction time = %.4g s' % znd_out['ind_time_ZND'])
Windows 8.1, Windows 10, Linux (Debian 9)
"""
from sdtoolbox.postshock import PostShock_fr
from sdtoolbox.znd import zndsolve
from sdtoolbox.utilities import znd_plot, znd_fileout
import cantera as ct
P1 = 100000
T1 = 300
U1 = 3000
q = 'H2:2 O2:1 N2:3.76'
mech = 'Mevel2017.cti'
file_name = 'h2air'
# Set up gas object
gas1 = ct.Solution(mech)
gas1.TPX = T1,P1,q
# Find post shock state for given speed
gas = PostShock_fr(U1, P1, T1, q, mech)
# Solve ZND ODEs, make ZND plots
znd_out = zndsolve(gas,gas1,U1,advanced_output=True)
znd_plot(znd_out)
znd_fileout(file_name,znd_out)
print('Reaction zone pulse width (exothermic length) = %.4g m' % znd_out['exo_len_ZND'])
print('Reaction zone induction length = %.4g m' % znd_out['ind_len_ZND'])
print('Reaction zone pulse time (exothermic time) = %.4g s' % znd_out['exo_time_ZND'])
print('Reaction zone induction time = %.4g s' % znd_out['ind_time_ZND'])
uv_T.append(gas.T)
uv_ae.append(soundspeed_eq(gas))
# CJ speed
gas.TPX = T1,P1,x
Ucj.append(CJspeed(P1, T1, x, mech))
# vN state
gas1 = PostShock_fr(Ucj[-1], P1, T1, x, mech)
vn_T.append(gas1.T)
vn_P.append(gas1.P)
vn_rho.append(gas1.density)
vn_af.append(soundspeed_fr(gas1))
# ZND Structure
ZNDout = zndsolve(gas1,gas,Ucj[-1],advanced_output=True)
ind_len_ZND.append(ZNDout['ind_len_ZND'])
exo_len_ZND.append(ZNDout['exo_len_ZND'])
# CJ state
gas1 = PostShock_eq(Ucj[-1],P1, T1,x,mech)
cj_T.append(gas1.T)
cj_P.append(gas1.P)
cj_rho.append(gas1.density)
cj_af.append(soundspeed_fr(gas1))
# Reflected CJ state
[ref_P[i],Uref[i],gas2] = reflected_eq(gas,gas1,gas2,Ucj[-1])
# State 3 - Plateau at end of Taylor wave
# print('Generating points on isentrope and computing Taylor wave velocity')
w2 = gas.density*Ucj[-1]/cj_rho[-1]
graphing = True
P1 = 13.33; T1 = 300; U1 = 4000
q = 'CO2:0.96 N2:0.04'
mech = 'airNASA9noions.cti'
gas1 = ct.Solution(mech)
gas1.TPX = T1,P1,q
nsp = gas1.n_species
# FIND POST SHOCK STATE FOR GIVEN SPEED
gas = PostShock_fr(U1, P1, T1, q, mech)
# SOLVE REACTION ZONE STRUCTURE ODES
out = zndsolve(gas,gas1,U1,t_end=0.2,max_step=0.01,relTol=1e-12,absTol=1e-12)
if graphing:
# Demonstrate using the figure outputs from znd_plot to make further formatting
# adjustments, then saving
maxx = max(out['distance'])
figT,figP,figM,figTherm,figSpec = znd_plot(out,maxx=maxx,major_species='All',
xscale='log',show=False)
figSpec.axes[0].set_xlim((1e-5,None))
figSpec.axes[0].set_ylim((1e-10,1))
plt.show()
figP.savefig('shk-P.eps',bbox_inches='tight')
figT.savefig('shk-T.eps',bbox_inches='tight')
Ts[i] = gas.T #frozen shock temperature Ps[i] = gas.P #frozen shock pressure # SOLVE CONSTANT VOLUME EXPLOSION ODES CVout = cvsolve(gas,t_end=1e-4) exo_time_CV[i] = CVout['exo_time'] ind_time_CV[i] = CVout['ind_time'] ### ZND Detonation Data ### # FIND POST SHOCK STATE FOR GIVEN SPEED gas1.TPX = T1,P1[i],x gas = PostShock_fr(cj_speed[i], P1[i], T1, x, mech) Ts[i] = gas.T #frozen shock temperature Ps[i] = gas.P #frozen shock pressure # SOLVE ZND DETONATION ODES ZNDout = zndsolve(gas,gas1,cj_speed[i],advanced_output=True) ind_time_ZND[i] = ZNDout['ind_time_ZND'] ind_len_ZND[i] = ZNDout['ind_len_ZND'] exo_time_ZND[i] = ZNDout['exo_time_ZND'] exo_len_ZND[i] = ZNDout['exo_len_ZND'] Tf_ZND[i] = ZNDout['T'][-1] ##Calculate CJstate Properties### gas = PostShock_eq(cj_speed[i],P1[i], T1,x, mech) T2[i] = gas.T P2[i] = gas.P rho2[i] = gas.density #Approximate the effective activation energy using finite differences Ta = Ts[i]*(1.02) gas.TPX = Ta,Ps[i],x
gas = PostShock_fr(cj_speed*overdrive[i], P1, T1, x, mech)
Ts[i] = gas.T # frozen shock temperature
Ps[i] = gas.P # frozen shock pressure
### Constant Volume Explosion Data ###
# Solve constant volume explosion ODEs
CVout = cvsolve(gas)
exo_time_CV[i] = CVout['exo_time']
ind_time_CV[i] = CVout['ind_time']
### ZND Detonation Data ###
gas.TPX = T1,P1,x
gas = PostShock_fr(cj_speed*overdrive[i], P1, T1, x, mech)
# Solve znd detonation ODEs
ZNDout = zndsolve(gas,gas1,cj_speed*overdrive[i],advanced_output=True)
exo_time_ZND[i] = ZNDout['exo_time_ZND']
exo_len_ZND[i] = ZNDout['exo_len_ZND']
ind_time_ZND[i] = ZNDout['ind_time_ZND']
ind_len_ZND[i] = ZNDout['ind_len_ZND']
Tf_ZND[i] = ZNDout['T'][-1]
### Calculate CJ state properties ###
gas = PostShock_eq(cj_speed*overdrive[i], P1, T1, x, mech);
T2[i] = gas.T
P2[i] = gas.P
rho2[i] = gas.density
# Approximate the effective activation energy using finite differences
factor = 0.02
Ta = Ts[i]*(1.0+factor)
uv_T.append(gas.T)
uv_ae.append(soundspeed_eq(gas))
# CJ speed
gas.TPX = T1, P1, x
Ucj.append(CJspeed(P1, T1, x, mech))
# vN state
gas1 = PostShock_fr(Ucj[-1], P1, T1, x, mech)
vn_T.append(gas1.T)
vn_P.append(gas1.P)
vn_rho.append(gas1.density)
vn_af.append(soundspeed_fr(gas1))
# ZND Structure
ZNDout = zndsolve(gas1, gas, Ucj[-1], t_end=1e-4, advanced_output=True)
ind_len_ZND.append(ZNDout['ind_len_ZND'])
exo_len_ZND.append(ZNDout['exo_len_ZND'])
# CJ state
gas1 = PostShock_eq(Ucj[-1], P1, T1, x, mech)
cj_T.append(gas1.T)
cj_P.append(gas1.P)
cj_rho.append(gas1.density)
cj_af.append(soundspeed_fr(gas1))
# Reflected CJ state
[ref_P[i], Uref[i], gas2] = reflected_eq(gas, gas1, gas2, Ucj[-1])
# State 3 - Plateau at end of Taylor wave
# print('Generating points on isentrope and computing Taylor wave velocity')
w2 = gas.density * Ucj[-1] / cj_rho[-1]
