Note
Go to the end to download the full example code
Symmetric premixed twin flame#
Simulate two counter-flow jets of reactants shooting into each other. This simulation differs from the similar premixed_counterflow_flame.py example as the latter simulates a jet of reactants shooting into products.
Requires: cantera >= 3.0
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reactants <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Mass Flux: 2.268 kg/m^2/s
Temperature: 300 K
Mass Fractions:
O2 0.2232
CH4 0.04197
N2 0.7348
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> flame <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Pressure: 1.013e+05 Pa
-------------------------------------------------------------------------------
z velocity spread_rate T lambda eField
-------------------------------------------------------------------------------
0 2 0 300 -2.903e+04 0
0.005 1.6 32 300 -2.903e+04 0
0.01 1.2 64 300 -2.903e+04 0
0.0125 1 80 1110 -2.903e+04 0
0.015 0.8 96 1920 -2.903e+04 0
0.02 0.4 128 1920 -2.903e+04 0
0.025 0 160 1920 -2.903e+04 0
-------------------------------------------------------------------------------
z H2 H O O2 OH
-------------------------------------------------------------------------------
0 0 0 0 0.2232 0
0.005 0 0 0 0.2232 0
0.01 2.06e-21 9.355e-23 1.216e-20 0.2232 1.907e-19
0.0125 3.711e-06 1.685e-07 2.191e-05 0.1386 0.0003435
0.015 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871
0.02 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871
0.025 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871
-------------------------------------------------------------------------------
z H2O HO2 H2O2 C CH
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 2.604e-17 2.619e-22 1.513e-23 1.528e-38 1.236e-39
0.0125 0.04691 4.717e-07 2.725e-08 2.753e-23 2.226e-24
0.015 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24
0.02 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24
0.025 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24
-------------------------------------------------------------------------------
z CH2 CH2(S) CH3 CH4 CO
-------------------------------------------------------------------------------
0 0 0 0 0.04197 0
0.005 0 0 0 0.04197 0
0.01 4.048e-39 1.788e-40 3.885e-38 0.04197 6.135e-20
0.0125 7.292e-24 3.22e-25 6.999e-23 0.02098 0.0001105
0.015 1.458e-23 6.441e-25 1.4e-22 0 0.000221
0.02 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.000221
0.025 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.000221
-------------------------------------------------------------------------------
z CO2 HCO CH2O CH2OH CH3O
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 3.186e-17 2.588e-28 2.804e-30 6.75e-37 8.315e-39
0.0125 0.05739 4.662e-13 5.052e-15 1.216e-21 1.498e-23
0.015 0.1148 9.324e-13 1.01e-14 2.432e-21 2.996e-23
0.02 0.1148 9.324e-13 1.01e-14 2.432e-21 2.996e-23
0.025 0.1148 9.324e-13 1.01e-14 2.432e-21 2.996e-23
-------------------------------------------------------------------------------
z CH3OH C2H C2H2 C2H3 C2H4
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 5.227e-38 9.354e-48 7.624e-45 5.836e-51 9.138e-51
0.0125 9.416e-23 1.685e-32 1.373e-29 1.051e-35 1.646e-35
0.015 1.883e-22 3.37e-32 2.747e-29 2.103e-35 3.292e-35
0.02 1.883e-22 3.37e-32 2.747e-29 2.103e-35 3.292e-35
0.025 1.883e-22 3.37e-32 2.747e-29 2.103e-35 3.292e-35
-------------------------------------------------------------------------------
z C2H5 C2H6 HCCO CH2CO HCCOH
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 1.002e-56 7.332e-58 2.1e-41 3.353e-41 1.05e-44
0.0125 1.805e-41 1.321e-42 3.783e-26 6.04e-26 1.892e-29
0.015 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29
0.02 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29
0.025 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29
-------------------------------------------------------------------------------
z N NH NH2 NH3 NNH
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 3.232e-26 2.797e-27 8.652e-28 3.559e-27 4.476e-27
0.0125 5.822e-11 5.038e-12 1.559e-12 6.411e-12 8.063e-12
0.015 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11
0.02 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11
0.025 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11
-------------------------------------------------------------------------------
z NO NO2 N2O HNO CN
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 8.318e-19 1.205e-21 6.697e-23 2.279e-24 1.185e-33
0.0125 0.001498 2.17e-06 1.206e-07 4.106e-09 2.135e-18
0.015 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18
0.02 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18
0.025 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18
-------------------------------------------------------------------------------
z HCN H2CN HCNN HCNO HOCN
-------------------------------------------------------------------------------
0 0 0 0 0 0
0.005 0 0 0 0 0
0.01 8.215e-31 1.546e-38 4.735e-42 1.504e-35 8.599e-31
0.0125 1.48e-15 2.785e-23 8.53e-27 2.71e-20 1.549e-15
0.015 2.96e-15 5.57e-23 1.706e-26 5.42e-20 3.098e-15
0.02 2.96e-15 5.57e-23 1.706e-26 5.42e-20 3.098e-15
0.025 2.96e-15 5.57e-23 1.706e-26 5.42e-20 3.098e-15
-------------------------------------------------------------------------------
z HNCO NCO N2 AR C3H7
-------------------------------------------------------------------------------
0 0 0 0.7348 0 0
0.005 0 0 0.7348 0 0
0.01 7.04e-28 1.842e-29 0.7348 0 6.242e-76
0.0125 1.268e-12 3.319e-14 0.7341 0 1.125e-60
0.015 2.536e-12 6.638e-14 0.7334 0 2.249e-60
0.02 2.536e-12 6.638e-14 0.7334 0 2.249e-60
0.025 2.536e-12 6.638e-14 0.7334 0 2.249e-60
-------------------------------------------------------------------------------
z C3H8 CH2CHO CH3CHO
-------------------------------------------------------------------------------
0 0 0 0
0.005 0 0 0
0.01 4.325e-77 1.343e-47 2.414e-48
0.0125 7.791e-62 2.42e-32 4.349e-33
0.015 1.558e-61 4.84e-32 8.697e-33
0.02 1.558e-61 4.84e-32 8.697e-33
0.025 1.558e-61 4.84e-32 8.697e-33
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
************ Solving on 7 point grid with energy equation enabled ************
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 2.848e-05 5.886
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0004865 5.141
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.008313 2.215
Attempt Newton solution of steady-state problem... success.
Problem solved on [7] point grid(s).
..............................................................................
grid refinement disabled.
******************** Solving with grid refinement enabled ********************
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [7] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 1 2 3 4 5
to resolve C2H2 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 1 point 4 spread_rate velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001139 5.733
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.002919 3.554
Attempt Newton solution of steady-state problem... success.
Problem solved on [12] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 2 4 5 6 7 8 9 10
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 2 point 7 spread_rate velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001139 5.651
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001442 5.861
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.002463 3.925
Attempt Newton solution of steady-state problem... success.
Problem solved on [20] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 1 4 9 10 11 12 13 17 18
to resolve C C2H2 C2H3 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 1 point 4 spread_rate velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001139 5.646
Attempt Newton solution of steady-state problem... success.
Problem solved on [29] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 0 10 14 15 16 17 18 23 26 27
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 0 point 10 point 23 spread_rate velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 7.594e-05 6.153
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 6.407e-05 6.19
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001825 5.78
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001732 5.637
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.004439 3.542
Attempt Newton solution of steady-state problem... success.
Problem solved on [39] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 24 25 26 27 28 36 37
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity
##############################################################################
refine: discarding point at 0.01484375
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 5.695e-05 5.741
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 7.208e-05 6.096
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0002053 4.868
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001299 5.816
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.003329 3.518
Attempt Newton solution of steady-state problem... success.
Problem solved on [45] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 28 29 30 31 32 33
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity
##############################################################################
refine: discarding point at 0.01703125
refine: discarding point at 0.01734375
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001709 5.404
Attempt Newton solution of steady-state problem... success.
Problem solved on [49] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 30 31 32 33 34 35 36
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001709 5.746
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 7.208e-05 5.914
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0008211 4.68
Attempt Newton solution of steady-state problem... success.
Problem solved on [56] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 29 34 39 40 41 42 43 44
to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 29 point 34 velocity
##############################################################################
refine: discarding point at 0.017968750000000002
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001709 5.591
Attempt Newton solution of steady-state problem... success.
Problem solved on [63] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 44 45 46 47 48 49 50 52
to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 46 velocity
##############################################################################
refine: discarding point at 0.018437500000000002
refine: discarding point at 0.018750000000000003
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0002563 5.224
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.001946 4.407
Attempt Newton solution of steady-state problem... success.
Problem solved on [69] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 50 51 52 53 54 55 56
to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 54 velocity
##############################################################################
refine: discarding point at 0.018281250000000002
refine: discarding point at 0.018593750000000003
refine: discarding point at 0.018906250000000003
refine: discarding point at 0.019218750000000003
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [72] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 50 51 52 53 54 55 56 57 58 59 60
to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 O O2 OH T point 58 velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0002563 4.55
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.004379 3.726
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.02217 1.783
Attempt Newton solution of steady-state problem... success.
Problem solved on [83] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 49 58 59 60 63 64 65 66 67 68 69 70
to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 O OH T point 49 point 70 velocity
##############################################################################
refine: discarding point at 0.019687500000000004
refine: discarding point at 0.019921875000000006
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [93] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 63 64 65 71
to resolve C2H2 C2H3 C2H5 C3H8 CH2 point 63 point 64
##############################################################################
refine: discarding point at 0.019531250000000003
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [96] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 65
to resolve point 65
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [97] point grid(s).
..............................................................................
no new points needed in flame
Peak temperature: 1921.1 K
Strain Rate: 163.7 1/s
Consumption Speed: 21.03 cm/s
import sys
from pathlib import Path
import numpy as np
import cantera as ct
# Differentiation function for data that has variable grid spacing Used here to
# compute normal strain-rate
def derivative(x, y):
dydx = np.zeros(y.shape, y.dtype.type)
dx = np.diff(x)
dy = np.diff(y)
dydx[0:-1] = dy/dx
dydx[-1] = (y[-1] - y[-2])/(x[-1] - x[-2])
return dydx
def computeStrainRates(oppFlame):
# Compute the derivative of axial velocity to obtain normal strain rate
strainRates = derivative(oppFlame.grid, oppFlame.velocity)
# Obtain the location of the max. strain rate upstream of the pre-heat zone.
# This is the characteristic strain rate
maxStrLocation = abs(strainRates).argmax()
minVelocityPoint = oppFlame.velocity[:maxStrLocation].argmin()
# Characteristic Strain Rate = K
strainRatePoint = abs(strainRates[:minVelocityPoint]).argmax()
K = abs(strainRates[strainRatePoint])
return strainRates, strainRatePoint, K
def computeConsumptionSpeed(oppFlame):
Tb = max(oppFlame.T)
Tu = min(oppFlame.T)
rho_u = max(oppFlame.density)
integrand = oppFlame.heat_release_rate/oppFlame.cp
total_heat_release = np.trapz(integrand, oppFlame.grid)
Sc = total_heat_release/(Tb - Tu)/rho_u
return Sc
# This function is called to run the solver
def solveOpposedFlame(oppFlame, massFlux=0.12, loglevel=1,
ratio=2, slope=0.3, curve=0.3, prune=0.05):
"""
Execute this function to run the Opposed Flow Simulation This function
takes a CounterFlowTwinPremixedFlame object as the first argument
"""
oppFlame.reactants.mdot = massFlux
oppFlame.set_refine_criteria(ratio=ratio, slope=slope, curve=curve, prune=prune)
oppFlame.show()
oppFlame.solve(loglevel, auto=True)
# Compute the strain rate, just before the flame. This is not necessarily
# the maximum We use the max. strain rate just upstream of the pre-heat zone
# as this is the strain rate that computations compare against, like when
# plotting Su vs. K
strainRates, strainRatePoint, K = computeStrainRates(oppFlame)
return np.max(oppFlame.T), K, strainRatePoint
# Select the reaction mechanism
gas = ct.Solution('gri30.yaml')
# Create a CH4/Air premixed mixture with equivalence ratio=0.75, and at room
# temperature and pressure.
gas.set_equivalence_ratio(0.75, 'CH4', {'O2': 1.0, 'N2': 3.76})
gas.TP = 300, ct.one_atm
# Set the velocity
axial_velocity = 2.0 # in m/s
# Domain half-width of 2.5 cm, meaning the whole domain is 5 cm wide
width = 0.025
# Done with initial conditions
# Compute the mass flux, as this is what the Flame object requires
massFlux = gas.density * axial_velocity # units kg/m2/s
# Create the flame object
oppFlame = ct.CounterflowTwinPremixedFlame(gas, width=width)
# Uncomment the following line to use a Multi-component formulation. Default is
# mixture-averaged
# oppFlame.transport_model = 'multicomponent'
# Now run the solver. The solver returns the peak temperature, strain rate and
# the point which we ascribe to the characteristic strain rate.
(T, K, strainRatePoint) = solveOpposedFlame(oppFlame, massFlux, loglevel=1)
# You can plot/see all state space variables by calling oppFlame.foo where foo
# is T, Y[i], etc. The spatial variable (distance in meters) is in oppFlame.grid
# Thus to plot temperature vs distance, use oppFlame.grid and oppFlame.T
Sc = computeConsumptionSpeed(oppFlame)
if "native" in ct.hdf_support():
output = Path() / "premixed_counterflow_twin_flame.h5"
else:
output = Path() / "premixed_counterflow_twin_flame.yaml"
output.unlink(missing_ok=True)
oppFlame.save(output, name="mix")
print(f"Peak temperature: {T:.1f} K")
print(f"Strain Rate: {K:.1f} 1/s")
print(f"Consumption Speed: {Sc * 100:.2f} cm/s")
oppFlame.save("premixed_counterflow_twin_flame.csv", basis="mole", overwrite=True)
# Generate plots to see results, if user desires
if '--plot' in sys.argv:
import matplotlib.pyplot as plt
plt.figure(figsize=(8, 6), facecolor='white')
# Axial Velocity Plot
plt.subplot(1, 2, 1)
plt.plot(oppFlame.grid, oppFlame.velocity, 'r', lw=2)
plt.xlim(oppFlame.grid[0], oppFlame.grid[-1])
plt.xlabel('Distance (m)')
plt.ylabel('Axial Velocity (m/s)')
# Identify the point where the strain rate is calculated
plt.plot(oppFlame.grid[strainRatePoint],
oppFlame.velocity[strainRatePoint], 'gs')
plt.annotate('Strain-Rate point',
xy=(oppFlame.grid[strainRatePoint],
oppFlame.velocity[strainRatePoint]),
xytext=(0.001, 0.1),
arrowprops={'arrowstyle': '->'})
# Temperature Plot
plt.subplot(1, 2, 2)
plt.plot(oppFlame.grid, oppFlame.T, 'b', lw=2)
plt.xlim(oppFlame.grid[0], oppFlame.grid[-1])
plt.xlabel('Distance (m)')
plt.ylabel('Temperature (K)')
plt.tight_layout()
plt.show()
else:
print('************')
print('Plotting option not enabled. Re-run script with --plot to see key plots.')
print('************')
Total running time of the script: (0 minutes 38.441 seconds)