def _pT_x(p,T):
""" given pressure and Temperature, return quality """
if (np.isnan(p) or np.isnan(T)) :
return np.nan
fs_T,fs_p=self._get_SI_TempPress(T,p,self.units.type)
fs_val = freesteam.steam_pT(fs_p, fs_T).x
val=fs_val
return val
def _pT_rho(p,T):
""" given pressure and Temperature, return density """
fs_T,fs_p=self._get_SI_TempPress(T,p,self.units.type)
fs_val = freesteam.steam_pT(fs_p, fs_T).rho
val=fs_val
if self.units.type == "US":
val=fs_val * 0.06242796
return val
def _pT_u(p,T):
""" given pressure and Temperature, return specific energy """
fs_T,fs_p=self._get_SI_TempPress(T,p,self.units.type)
fs_val = freesteam.steam_pT(fs_p, fs_T).u
val=fs_val
if self.units.type=="altSI":
val=fs_val/1000.
elif self.units.type=="US":
val=fs_val * 0.000429922614
return val
for h in hh:
try:
S = freesteam.steam_ph(p,h)
x += [S.h/1.e3]
y += [S.T]
dy = freesteam.freesteam_deriv(S,'T','h','p')
dx = 0.0005
m = math.sqrt(dx**2 + dy**2)
u += [dx/m]
v += [dy/m]
except:
pass
plot([0,4500],[550+273.15,550+273.15],'b--')
s = freesteam.steam_pT(12e6, 550+273.15).s
pp = linspace(3e6,12e6)
hh = [freesteam.steam_ps(p,s).h/1e3 for p in pp]
TT = [freesteam.steam_ps(p,s).T for p in pp]
plot(hh,TT,'g--')
if 1:
s = freesteam.steam_pT(3e6, 550+273.15).s
pp = linspace(0.1e5,3e6)
hh = [freesteam.steam_ps(p,s).h/1e3 for p in pp]
TT = [freesteam.steam_ps(p,s).T for p in pp]
plot(hh,TT,'g--')
quiver(x,y,u,v,alpha=1)
axis([0,4500,273.15,1073.15])
xlabel('h / [kJ/kg]')
for h in hh:
try:
S = freesteam.steam_ph(p, h)
x += [S.h / 1.e3]
y += [S.T]
dy = freesteam.freesteam_deriv(S, 'T', 'h', 'p')
dx = 0.0005
m = math.sqrt(dx**2 + dy**2)
u += [dx / m]
v += [dy / m]
except:
pass
plot([0, 4500], [550 + 273.15, 550 + 273.15], 'b--')
s = freesteam.steam_pT(12e6, 550 + 273.15).s
pp = linspace(3e6, 12e6)
hh = [freesteam.steam_ps(p, s).h / 1e3 for p in pp]
TT = [freesteam.steam_ps(p, s).T for p in pp]
plot(hh, TT, 'g--')
if 1:
s = freesteam.steam_pT(3e6, 550 + 273.15).s
pp = linspace(0.1e5, 3e6)
hh = [freesteam.steam_ps(p, s).h / 1e3 for p in pp]
TT = [freesteam.steam_ps(p, s).T for p in pp]
plot(hh, TT, 'g--')
quiver(x, y, u, v, alpha=1)
axis([0, 4500, 273.15, 1073.15])
xlabel('h / [kJ/kg]')
def setup(num_output_times=10,
tfinal=3,
nx=200,
kernel_language='Python',
use_petsc=False,
solver_type='classic',
weno_order=5,
time_integrator='SSP104',
outdir='./_output'):
if use_petsc:
import clawpack.petclaw as pyclaw
else:
from clawpack import pyclaw
if kernel_language == 'Fortran':
riemann_solver = riemann.advection_1D
elif kernel_language == 'Python':
riemann_solver = riemann.advection_1D_py.advection_1D
if solver_type == 'classic':
solver = pyclaw.ClawSolver1D(riemann_solver)
solver.step_source = step_Euler_radial
solver.dt_variable = True
solver.cfl_desired = 0.9
solver.max_steps = 50000
elif solver_type == 'sharpclaw':
solver = pyclaw.SharpClawSolver1D(riemann_solver)
solver.dq_src = dq_Euler_radial
solver.weno_order = weno_order
solver.dt_variable = True
solver.cfl_desired = 0.9
solver.time_integrator = time_integrator
solver.max_steps = 50000
if time_integrator == 'SSPLMMk3':
solver.lmm_steps = 5
solver.check_lmm_cond = True
else:
raise Exception('Unrecognized value of solver_type.')
solver.kernel_language = kernel_language
verbosity = 1
total_steps = 30
solver.bc_lower[0] = pyclaw.BC.extrap #periodic
solver.bc_upper[0] = pyclaw.BC.extrap #periodic
# x = pyclaw.Dimension(0.0,xl,nx,name='x')
L = 1.577944e-01
print("L=", L)
x0 = -1.5 * L
x1 = 4 * L
x = pyclaw.Dimension(x0, x1, nx, name='x')
domain = pyclaw.Domain(x)
state = pyclaw.State(domain, solver.num_eqn)
Tin = 15
rho = st.steam_pT(10 * 1e+5, Tin + 273).rho
cp = st.steam_pT(10 * 1e+5, Tin + 273).cp
print("rho=", rho)
print("cp=", cp)
print("rhocp=", rho * cp)
Flow = 140.e-3
Section = 262.292e-6 \
+ 139.392e-6 \
+ 176.149e-6 \
+ 217.995e-6 \
+ 264.365e-6 \
+ 315.259e-6 \
+ 373.504e-6 \
+ 439.1e-6 \
+ 511.483e-6 \
+ 590.085e-6 \
+ 674.908e-6 \
+ 765.952e-6 \
+ 863.215e-6 \
+ 961.045e-6 \
+ 292.364e-6
print("Section=", Section)
Power1 = 12.5e+6
print("Power=", Power1)
Qth = Power1 / (Section * (2 * L))
print("delta T = Pe/(rho Cp Debit)=", Power1 / (rho * cp * Flow))
print("Qth = Power / ( Section * (2*L) )=", Qth, "Qth/(rhocp)=",
Qth / (rho * cp), "Q=", Qth / 100.)
u = Flow / Section
print("u = Flow / Section=", u, "u/rhocp=", u / (rho * cp))
state.problem_data['rhocp'] = rho * cp # Specific Heat
state.problem_data['u'] = u # Advection velocity
state.problem_data['L'] = L # Advection velocity
state.problem_data['Power1'] = Power1 # Advection velocity
state.problem_data['Q'] = Qth / (rho * cp) # Advection velocity
# Initial data
xc = state.grid.x.centers
state.q[0, :] = Tin
claw = pyclaw.Controller()
claw.keep_copy = True
claw.solution = pyclaw.Solution(state, domain)
claw.solver = solver
if outdir is not None:
claw.outdir = outdir
else:
claw.output_format = None
claw.tfinal = tfinal
claw.setplot = setplot
claw.num_output_times = num_output_times
return claw
# encoding: utf-8
import freesteam
import matplotlib
matplotlib.use('gtkcairo')
from pylab import *
import math, sys
# Plot a curve of density with temperature for different pressures. We're
# especially interested here in the supercritical curves.
pp = [
1e4, 5e4, 1e5, 5e5, 1e6, 5e6, 10e6, 20e6, 22e6, 23e6, 25e6, 30e6, 50e6,
100e6
]
figure()
hold(1)
for p in pp:
TT = arange(0, 800, 2) + 273.15
rrho = [freesteam.steam_pT(p, T).rho for T in TT]
plot(TT - 273.15, rrho, label='%f MPa' % (p / 1e6))
xlabel(u"Temperature / [°C]")
ylabel(u"Density / [kg/m³]")
legend()
show()
def rho(bar, celsius):
pascal = bar * 1e+5
kelvin = celsius + 273.
rho = st.steam_pT(pascal, kelvin).rho
return rho
def cp(bar, celsius):
pascal = bar * 1e+5
kelvin = celsius + 273.
cp = st.steam_pT(pascal, kelvin).cp
return cp
# encoding: utf-8
import freesteam
import matplotlib
matplotlib.use("gtkcairo")
from pylab import *
import math, sys
# Plot a curve of density with temperature for different pressures. We're
# especially interested here in the supercritical curves.
pp = [1e4, 5e4, 1e5, 5e5, 1e6, 5e6, 10e6, 20e6, 22e6, 23e6, 25e6, 30e6, 50e6, 100e6]
figure()
hold(1)
for p in pp:
TT = arange(0, 800, 2) + 273.15
rrho = [freesteam.steam_pT(p, T).rho for T in TT]
plot(TT - 273.15, rrho, label="%f MPa" % (p / 1e6))
xlabel(u"Temperature / [°C]")
ylabel(u"Density / [kg/m³]")
legend()
show()
Tmin = 273.15 Tmax = 1073.15 DT = Tmax - Tmin pmin = 1e-3*1e5 pmax = 1e3*1e5 DP = pmax - pmin pp = arange(pmin,pmax,DP/400) #pp = logspace(-3,3)*1.e5 TT = arange(Tmin,Tmax,DT/500) im = zeros((len(pp),len(TT))) x = 0 for p in pp: #print "p = %f MPa" % (p/1e6) y = 0 for T in TT: S = freesteam.steam_pT(p,T) #print "p = %f, T = %f" % (p,T) r = S.region #print "p = %f MPa, T = %f K, region[%d,%d] = %d" % (p/1e6,T,x,y,r) im[x,y] = float(r) / 4. y += 1 x += 1 imshow(im,extent=[Tmin,Tmax,pmin/1e6,pmax/1e6],origin='lower',aspect='auto',interpolation='nearest',alpha=0.6) # LINES OF CONSTANT ENTHALPY hh = arange(100,4500,200)*1e3 for h in hh: TT2 = [freesteam.steam_ph(p,h).T for p in pp] plot(TT2,pp/1e6,'g-')
def cp(bar, celsius):
"""compute cp"""
pascal = bar * 1e+5
kelvin = celsius + 273.
return st.steam_pT(pascal, kelvin).cp
def rho(bar, celsius):
"""compute rho"""
pascal = bar * 1e+5
kelvin = celsius + 273.
return st.steam_pT(pascal, kelvin).rho
# Add some more columns
# Helix Magnet
if not 'U1' in keys:
# print("Create extra columns [ie: U1,U2,...]")
df['U1'] = 0
for i in range(15):
ukey = "Ucoil%d" % i
if ukey in keys:
df['U1'] += df[ukey]
df['Pe1'] = df.apply(lambda row: row.U1 * row.Icoil1 / 1.e+6, axis=1)
df['DP1'] = df['HP1'] - df['BP']
# Get Water property
df['rho1'] = df.apply(
lambda row: st.steam_pT(row.BP * 1e+5, row.Tin1 + 273.).rho / 1.,
axis=1)
df['cp1'] = df.apply(
lambda row: st.steam_pT(row.BP * 1e+5, row.Tin1 + 273.).cp / 1.,
axis=1)
for i in range(1, 6):
df['DT1'] = df.apply(lambda row: row.Pe1 * 1.e+6 /
(row.rho1 * row.cp1 * row.Flow1 * 1.e-3)
if (row.Flow1 != 0) else row.Tin1,
axis=1)
# Water Property at BP bar, Tin+DT1
df['rho1'] = df.apply(lambda row: st.steam_pT(
(row.BP + row.DP1 / 2.) * 1e+5,
(row.Tin1 + row.DT1 / 2.) + 273.).rho / 1.,
