class test():
def __init__(self, time_divisor=0.0625):
self.c = Constants()
self.c.drop_properties()
self.c.gas_properties()
self.c.get_reference_conditions()
self.c.add_drop_properties()
self.c.add_gas_properties()
self.c.add_properties()
self.p2 = particle(self.c, [0, 0, 0], velocity=[0, 0, 0],
D=np.sqrt(1.1)/1000, T_d=282,
ODE_solver=1, coupled=2)
self.p3 = particle(self.c, [0, 0, 0], velocity=[0, 0, 0],
D=np.sqrt(1.1)/1000, T_d=282,
ODE_solver=2, coupled=2)
self.p4 = particle(self.c, [0, 0, 0], velocity=[0, 0, 0],
D=np.sqrt(1.1)/1000, T_d=282,
ODE_solver=3, coupled=2)
self.p5 = particle(self.c, [0, 0, 0], velocity=[0, 0, 0],
D=np.sqrt(1.1)/1000, T_d=282,
ODE_solver=4, coupled=2)
self.time_divisor = time_divisor
self.div = self.p2.get_tau()*self.time_divisor
self.N = 10000
def iter_particles(self):
last_time = 0
for t in range(self.N):
if (self.p2.m_d/self.p2.m_d0 > 0.001 and
self.p2.T_d/self.p2.T_G < 0.999):
time1 = t * self.div
self.p2.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if (self.p3.m_d/self.p3.m_d0 > 0.001 and
self.p3.T_d/self.p3.T_G < 0.999):
time1 = t * self.div
self.p3.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if (self.p4.m_d/self.p4.m_d0 > 0.001 and
self.p4.T_d/self.p4.T_G < 0.999):
time1 = t * self.div
self.p4.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if (self.p5.m_d/self.p5.m_d0 > 0.001 and
self.p5.T_d/self.p5.T_G < 0.999):
time1 = t * self.div
self.p5.iterate(time1 - last_time)
last_time = time1
else:
break
def plot_data(self):
f1 = plt.figure(figsize=(20, 10))
ax1 = f1.add_subplot(111)
ax1.plot(self.p2.times, self.p2.diameter_2_history, 'g--',
label='Forward Euler')
ax1.plot(self.p3.times, self.p3.diameter_2_history, 'rx',
label='Backward Euler')
ax1.plot(self.p4.times, self.p4.diameter_2_history, 'y*',
label='Modified Euler')
ax1.plot(self.p5.times, self.p5.diameter_2_history, 'x',
label='Runge Kutta')
ax1.set_xlim(0)
ax1.set_ylim(0)
plt.xlabel(r'$t$ ($s$)')
plt.ylabel(r'$D^2$ ($mm^2$)')
plt.legend(loc='upper right')
plt.title('Diameter Evolution of Evaporating Droplet')
f2 = plt.figure(figsize=(20, 10))
ax2 = f2.add_subplot(111)
ax2.plot(self.p2.times, self.p2.temp_history, 'g--',
label='Forward Euler')
ax2.plot(self.p3.times, self.p3.temp_history, 'rx',
label='Backward Euler')
ax2.plot(self.p4.times, self.p4.temp_history, 'y*',
label='Modified Euler')
ax2.plot(self.p5.times, self.p5.temp_history, 'x',
label='Runge Kutta')
ax2.set_xlim(0)
ax2.set_ylim(self.p2.T_d0)
plt.xlabel(r'$t$ ($s$)')
plt.ylabel(r'$T_d$ ($K$)')
plt.legend(loc='lower right')
plt.title('Temperature Evolution of Evaporating Droplet')
def save_data(self):
self.file_dir = 'Sim_Code//Verification_Tests//heat_mass_data//'
with open(self.file_dir +
'c_fe_heat_mass_transfer_time_step_' + str(self.time_divisor)
+ '_tau.txt', 'w') as f:
self.p2.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p2.times)):
f.write(str(self.p2.times[i]) + ' ' +
str(self.p2.temp_history[i]) + ' ' +
str(self.p2.diameter_2_history[i]) + ' ' + '\n')
self.p2.times_temp_nd[::-1]
with open(self.file_dir +
'c_be_heat_mass_transfer_time_step_' + str(self.time_divisor)
+ '_tau.txt', 'w') as f:
self.p3.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p3.times)):
f.write(str(self.p3.times[i]) + ' ' +
str(self.p3.temp_history[i]) + ' ' +
str(self.p3.diameter_2_history[i]) + ' ' + '\n')
self.p3.times_temp_nd[::-1]
with open(self.file_dir +
'c_me_heat_mass_transfer_time_step_' + str(self.time_divisor)
+ '_tau.txt', 'w') as f:
self.p4.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p4.times)):
f.write(str(self.p4.times[i]) + ' ' +
str(self.p4.temp_history[i]) + ' ' +
str(self.p4.diameter_2_history[i]) + ' ' + '\n')
self.p4.times_temp_nd[::-1]
with open(self.file_dir +
'c_rk_heat_mass_transfer_time_step_' + str(self.time_divisor)
+ '_tau.txt', 'w') as f:
self.p5.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p5.times)):
f.write(str(self.p5.times[i]) + ' ' +
str(self.p5.temp_history[i]) + ' ' +
str(self.p5.diameter_2_history[i]) + ' ' + '\n')
self.p5.times[::-1]
class run_sim():
def __init__(self, drop_species='decane', gas_species='air', T_G=1000,
rho_G=0.3529, C_p_G=1135, Re_d=17, T_d=315, D=0.004):
self.drop_species = drop_species
self.gas_species = gas_species
self.T_G = T_G
self.rho_G = rho_G
self.C_p_G = C_p_G
self.Re_d = Re_d
self.T_d = T_d
self.D = D
self.c = Constants(self.drop_species, self.gas_species, self.T_G,
self.rho_G, self.C_p_G, self.Re_d)
self.c.drop_properties()
self.c.gas_properties()
self.c.get_reference_conditions()
self.c.add_drop_properties()
self.c.add_gas_properties()
self.c.add_properties()
self.p = particle(self.c, [0, 0, 0], velocity=[0, 0, 0],
D=self.D, T_d=self.T_d,
ODE_solver=2, coupled=2)
self.div = self.p.get_tau()/32
self.N = 10000
def iter_particles(self):
last_time = 0
for t in range(self.N):
if (self.p.m_d/self.p.m_d0 > 0.001 and
self.p.T_d/self.p.T_G < 0.999):
time1 = t * self.div
self.p.iterate(time1 - last_time)
last_time = time1
else:
break
def plot_data(self):
fig, (ax1, ax2) = plt.subplots(2, figsize=(20, 10))
ax1.plot(self.p.times, self.p.diameter_2_history, '--')
ax1.set_xlim(0)
ax1.set_ylim(0)
ax1.set_xlabel(r'$t$ ($s$)')
ax1.set_ylabel(r'$D^2$ ($mm^2$)')
ax1.set_title('Diameter Evolution of Evaporating ' +
self.drop_species.title() + ' Droplet')
ax2.plot(self.p.times, self.p.temp_history, '--')
ax2.set_xlim(0)
ax2.set_ylim(self.p.T_d0)
ax2.set_xlabel(r'$t$ ($s$)')
ax2.set_ylabel(r'$T_d$ ($K$)')
ax2.set_title('Temperature Evolution of Evaporating ' +
self.drop_species.title() + ' Droplet')
def save_data(self):
self.file_dir = 'Sim_Code//Simulation//sim_data//'
with open(self.file_dir + 'c_' + self.drop_species +
'_heat_mass_transfer_time_step_tau_32.txt', 'w') as f:
self.p.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p.times)):
f.write(str(self.p.times[i]) + ' ' +
str(self.p.temp_history[i]) + ' ' +
str(self.p.diameter_2_history[i]) + ' ' + '\n')
self.p.times_temp_nd[::-1]
class test():
def __init__(self, time_divisor=0.5):
self.c = Constants(drop_species='water',
gas_species='air',
T_G=298,
rho_G=1.184,
C_p_G=1007,
Re_d=0)
self.c.drop_properties()
self.c.gas_properties()
self.c.get_reference_conditions()
self.c.add_drop_properties()
self.c.add_gas_properties()
self.c.add_properties()
self.p1 = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=np.sqrt(1.1) / 1000,
T_d=282,
ODE_solver=0,
coupled=0)
self.p2 = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=np.sqrt(1.1) / 1000,
T_d=282,
ODE_solver=1,
coupled=0)
self.p3 = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=np.sqrt(1.1) / 1000,
T_d=282,
ODE_solver=2,
coupled=0)
self.p4 = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=np.sqrt(1.1) / 1000,
T_d=282,
ODE_solver=3,
coupled=0)
self.p5 = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=np.sqrt(1.1) / 1000,
T_d=282,
ODE_solver=4,
coupled=0)
self.time_divisor = time_divisor
self.div = self.p2.get_tau() * (self.time_divisor)
self.N = 10000
self.p2_error = []
self.p3_error = []
self.p4_error = []
self.p5_error = []
def iter_particles(self):
last_time = 0
for t in range(self.N):
if self.p1.m_d / self.p1.m_d0 > 0.001:
time1 = t * self.div
self.p1.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if self.p2.m_d / self.p2.m_d0 > 0.001:
time1 = t * self.div
self.p2.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if self.p3.m_d / self.p3.m_d0 > 0.001:
time1 = t * self.div
self.p3.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if self.p4.m_d / self.p4.m_d0 > 0.001:
time1 = t * self.div
self.p4.iterate(time1 - last_time)
last_time = time1
else:
break
last_time = 0
for t in range(self.N):
if self.p5.m_d / self.p5.m_d0 > 0.01:
time1 = t * self.div
self.p5.iterate(time1 - last_time)
last_time = time1
else:
break
def get_error_data(self):
for i in range(len(self.p2.times_mass_nd)):
self.p2_error.append(
np.sqrt((self.p1.mass_history_nd[i] -
self.p2.mass_history_nd[i])**2))
self.p2_avg_error = sum(self.p2_error) / len(self.p2.times_mass_nd)
print("p2:", self.p2_avg_error * 100)
for i in range(len(self.p1.times_mass_nd)):
self.p3_error.append(
np.sqrt((self.p1.mass_history_nd[i] -
self.p3.mass_history_nd[i])**2))
self.p3_avg_error = sum(self.p3_error) / len(self.p3.times_mass_nd)
print("p3:", self.p3_avg_error * 100)
for i in range(len(self.p1.times_mass_nd)):
self.p4_error.append(
np.sqrt((self.p1.mass_history_nd[i] -
self.p4.mass_history_nd[i])**2))
self.p4_avg_error = sum(self.p4_error) / len(self.p4.times_mass_nd)
print("p4:", self.p4_avg_error * 100)
for i in range(len(self.p5.times_mass_nd)):
self.p5_error.append(
np.sqrt((self.p1.mass_history_nd[i] -
self.p5.mass_history_nd[i])**2))
self.p5_avg_error = sum(self.p5_error) / len(self.p5.times_mass_nd)
print("p5:", self.p5_avg_error * 100, '\n')
return (self.p2_avg_error * 100, self.p3_avg_error * 100,
self.p4_avg_error * 100, self.p5_avg_error * 100)
def plot_data(self):
f = plt.figure(figsize=(20, 10))
ax = f.add_subplot(111)
ax.plot(self.p1.times_mass_nd,
self.p1.diameter_2_history_nd,
'b-',
label='Exact')
ax.plot(self.p2.times_mass_nd,
self.p2.diameter_2_history_nd,
'g--',
label='Forward Euler')
ax.plot(self.p3.times_mass_nd,
self.p3.diameter_2_history_nd,
'rx',
label='Backward Euler')
ax.plot(self.p4.times_mass_nd,
self.p4.diameter_2_history_nd,
'y*',
label='Modified Euler')
ax.plot(self.p5.times_mass_nd,
self.p5.diameter_2_history_nd,
'x',
label='Runge Kutta')
ax.set_xlim(0)
ax.set_ylim(0, 1)
plt.xlabel(r'$t/\tau_{d,0}$')
plt.ylabel(r'$D^2/{D_0}^2$')
plt.legend(loc='upper right')
plt.title('Non-Dimensionalised Diameter Evolution of ' +
'Evaporating Droplet')
def save_data(self):
self.file_dir = 'Sim_Code//Verification_Tests//uc_mass_data//'
with open(
self.file_dir + 'uc_an_d2_transfer_time_step_tau_' +
str(self.time_divisor) + '_tau_nd.txt', 'w') as f:
self.p1.times_temp_nd[::-1]
f.write('time' + ' ' + 'D2' + ' ' + '\n')
for i in range(len(self.p1.times_mass_nd)):
f.write(
str(self.p1.times_mass_nd[i]) + ' ' +
str(self.p1.diameter_2_history_nd[i]) + '\n')
self.p1.times_temp_nd[::-1]
with open(
self.file_dir + 'uc_fe_d2_transfer_time_step_tau_' +
str(self.time_divisor) + '_tau_nd.txt', 'w') as f:
self.p2.times_temp_nd[::-1]
f.write('time' + ' ' + 'D2' + ' ' + '\n')
for i in range(len(self.p2.times_mass_nd)):
f.write(
str(self.p2.times_mass_nd[i]) + ' ' +
str(self.p2.diameter_2_history_nd[i]) + '\n')
self.p2.times_temp_nd[::-1]
with open(
self.file_dir + 'uc_be_d2_transfer_time_step_tau_' +
str(self.time_divisor) + '_tau_nd.txt', 'w') as f:
self.p3.times_temp_nd[::-1]
f.write('time' + ' ' + 'D2' + ' ' + '\n')
for i in range(len(self.p3.times_mass_nd)):
f.write(
str(self.p3.times_mass_nd[i]) + ' ' +
str(self.p3.diameter_2_history_nd[i]) + '\n')
self.p3.times_temp_nd[::-1]
with open(
self.file_dir + 'uc_me_d2_transfer_time_step_tau_' +
str(self.time_divisor) + '_tau_nd.txt', 'w') as f:
self.p4.times_temp_nd[::-1]
f.write('time' + ' ' + 'D2' + ' ' + '\n')
for i in range(len(self.p4.times_mass_nd)):
f.write(
str(self.p4.times_mass_nd[i]) + ' ' +
str(self.p4.diameter_2_history_nd[i]) + '\n')
self.p4.times_temp_nd[::-1]
with open(
self.file_dir + 'uc_rk_d2_transfer_time_step_tau_' +
str(self.time_divisor) + '_tau_nd.txt', 'w') as f:
self.p5.times_temp_nd[::-1]
f.write('time' + ' ' + 'D2' + ' ' + '\n')
for i in range(len(self.p5.times_mass_nd)):
f.write(
str(self.p5.times_mass_nd[i]) + ' ' +
str(self.p5.diameter_2_history_nd[i]) + '\n')
self.p5.times_temp_nd[::-1]
class run_sim():
def __init__(self,
drop_species='decane',
gas_species='air',
model=2,
T_G=1000,
rho_G=0.3529,
C_p_G=1135,
Re_d=17,
T_d=315,
D=0.004):
self.drop_species = drop_species
self.gas_species = gas_species
self.T_G = T_G
self.rho_G = rho_G
self.C_p_G = C_p_G
self.Re_d = Re_d
self.T_d = T_d
self.D = D
self.model = model
self.c = Constants(self.drop_species,
self.gas_species,
self.T_G,
self.rho_G,
self.C_p_G,
self.Re_d,
model=self.model)
self.c.drop_properties()
self.c.gas_properties()
self.c.get_reference_conditions()
self.c.add_drop_properties()
self.c.add_gas_properties()
self.c.add_properties()
self.p = particle(self.c, [0, 0, 0],
velocity=[0, 0, 0],
D=self.D,
T_d=self.T_d,
ODE_solver=2,
coupled=2)
self.div = self.p.get_tau() / 32
self.N = 10000
def iter_particles(self):
last_time = 0
for t in range(self.N):
if (self.p.m_d / self.p.m_d0 > 0.001
and self.p.T_d / self.p.T_G < 0.999):
time1 = t * self.div
self.p.iterate(time1 - last_time)
last_time = time1
# print(time1)
else:
break
def plot_data(self, modellist, timelist, d2list, templist):
# fig, (ax1, ax2) = plt.subplots(2, figsize=(20, 10))
# ax1.plot(self.p.times, self.p.diameter_2_history, '--')
# ax1.set_xlim(0)
# ax1.set_ylim(0)
# ax1.set_xlabel(r'$t$ ($s$)')
# ax1.set_ylabel(r'$D^2$ ($mm^2$)')
# ax1.set_title('Diameter Evolution of Evaporating ' +
# self.drop_species.title() + ' Droplet, Model '
# + str(self.model))
# ax2.plot(self.p.times, self.p.temp_history, '--')
# ax2.set_xlim(0)
# ax2.set_ylim(self.p.T_d0)
# ax2.set_xlabel(r'$t$ ($s$)')
# ax2.set_ylabel(r'$T_d$ ($K$)')
# ax2.set_title('Temperature Evolution of Evaporating ' +
# self.drop_species.title() + ' Droplet, Model '
# + str(self.model))
# Experimental data
t = [
0, 0.35, 0.4, 0.87, 1.07, 1.26, 1.47, 1.65, 1.86, 2.05, 2.28, 2.48,
2.67, 2.95, 3.08, 3.3, 3.48, 3.67
]
d2 = [
4, 4, 4, 3.9, 3.87, 3.82, 3.75, 3.67, 3.52, 3.4, 3.28, 3.1, 2.95,
2.65, 2.5, 2.28, 2.16, 2
]
T = [
315, 330, 348, 370, 380, 387, 391, 398, 402.5, 407, 412.5, 416,
417, 420, 421, 422, 423, 425
]
# Exp M1
t1 = [0, 0.6, 0.8, 1, 1.2, 1.4, 1.6, 2, 2.4, 2.8, 3.2, 3.6]
d21 = [
4, 3.95, 3.8, 3.72, 3.45, 3.2, 2.95, 2.45, 1.8, 1.25, 0.78, 0.25
]
T1 = [315, 355, 375, 380, 385, 390, 395, 395, 395, 395, 395, 395]
# Exp M2
t2 = [0, 0.6, 0.8, 1, 1.2, 1.4, 1.6, 2, 2.4, 2.8, 3.2, 3.6, 4, 4.2]
d22 = [
4, 3.96, 3.93, 3.72, 3.7, 3.6, 3.5, 3.26, 3.08, 2.85, 2.62, 2.42,
2.2, 2.1
]
T2 = [
315, 350, 360, 362, 365, 365, 366, 370, 370, 370, 370, 370, 370,
370
]
# Exp M3
t3 = [0, 0.6, 0.8, 1, 1.2, 1.4, 1.6, 2, 2.4, 2.8, 3.2]
d23 = [4, 3.95, 3.8, 3.75, 3.5, 3.25, 2.9, 2.3, 1.64, 1, 0.45]
T3 = [315, 365, 380, 385, 390, 400, 402, 405, 405, 405, 405]
# Exp M5
t5 = [0, 0.6, 0.8, 1, 1.2, 1.4, 1.6, 2, 2.4, 2.8, 3.2, 3.6, 4, 4.2]
d25 = [
4, 3.96, 3.93, 3.72, 3.68, 3.6, 3.4, 3.1, 2.77, 2.43, 2.1, 1.75,
1.5, 1.38
]
T5 = [
315, 365, 380, 390, 400, 415, 425, 445, 460, 475, 495, 515, 535,
545
]
# Plot diameter first
plt.figure(dpi=500)
plt.plot(t, d2, "o", label="Experiment")
plt.plot(t1, d21, "x", label="M1, Miller")
plt.plot(t2, d22, "x", label="M2, Miller")
plt.plot(t3, d23, "x", label="M3, Miller")
plt.plot(t5, d25, "x", label="M5, Miller")
for i in range(len(modellist)):
plt.plot(timelist[i],
d2list[i],
label=("M" + str(modellist[i]) + ", Simulation"))
plt.xlabel(r'$t$ ($s$)')
plt.ylabel(r'$D^2$ ($mm^2$)')
plt.legend(fontsize=8)
# plt.title('Diameter Evolution of Evaporating ' +
# self.drop_species.title())
plt.show()
# Plot temperature
plt.figure(dpi=500)
plt.plot(t, T, "o", label="Experiment")
plt.plot(t1, T1, "x", label="M1, Miller")
plt.plot(t2, T2, "x", label="M2, Miller")
plt.plot(t3, T3, "x", label="M3, Miller")
plt.plot(t5, T5, "x", label="M5, Miller")
for i in range(len(modellist)):
plt.plot(timelist[i],
templist[i],
label=("M" + str(modellist[i]) + ", Simulation"))
plt.xlabel(r'$t$ ($s$)')
plt.ylabel(r'$T_d$ ($K$)')
plt.legend(fontsize=8)
# plt.title('Temperature Evolution of Evaporating ' +
# self.drop_species.title())
plt.show()
def save_data(self):
self.file_dir = 'Sim_Code//Simulation//sim_data//'
with open(
self.file_dir + 'c_' + self.drop_species +
'_heat_mass_transfer_time_step_tau_32.txt', 'w') as f:
self.p.times[::-1]
f.write('time' + ' ' + 'T_d' + ' ' + 'd2' + ' ' + '\n')
for i in range(len(self.p.times)):
f.write(
str(self.p.times[i]) + ' ' + str(self.p.temp_history[i]) +
' ' + str(self.p.diameter_2_history[i]) + ' ' + '\n')
self.p.times_temp_nd[::-1]