def Psat_d(d):
def dsv(p):
return F.ds(p=p)[1]
Ps_d = pmsolve.solve1n('p', f=dsv, param_init=1)
try:
return Ps_d(d)
except pm.utility.PMParamError:
print('Selected density does not intersect the steam dome.')
return None
def P_d(T, d):
P_d = pmsolve.solve1n('p', f=F.ds, param_init=1)
return P_d(d, T=T)
T1, x1 = F.T_s(p=p1, s=s1, quality=True)
if x1 > 0: #Check if saturated
d1 = F.d(T=T1, x=x1)
h1 = F.h(T=T1, x=x1)
else:
d1 = F.d(T=T1, p=p1)
h1 = F.h(T=T1, p=p1)
v1 = 1 / d1
e1 = F.e(d=d1, p=p1)
elif T1 >= -9000 and s1 >= -9000: #T&s
# Set the input box labels
Tval = T1
sval = s1
#Must find P iteratively
P_T = pmsolve.solve1n('p', f=F.T_s, param_init=20)
p1 = P_T(T1, s=s1)
T1, x1 = F.T_s(p=p1, s=s1, quality=True)
if x1 > 0: #check if saturated
h1, s1, d1 = F.hsd(T=T1, x=x1)
else:
h1, s1, d1 = F.hsd(p=p1, T=T1)
v1 = 1 / d1
p1 = F.p(T=T1, d=d1)
e1 = F.e(d=d1, p=p1)
elif T1 >= -9000 and p1 >= -9000: #T&p
#set the input box labels
Tval = T1
pval = p1
h1, s1, d1 = F.hsd(p=p1, T=T1)
def P_h(T, h):
P_h = pmsolve.solve1n('p', f=F.T_h, param_init=100)
return P_h(T, h=h)
def Tv(mpobj, fig=None, ax=None, satlines=True, Tlim=None, slines=None, plines=None, hlines=None, size=config['size'], display=True):
"""Temperature-volume diagram
ax = Tv(mpobj)
"""
# Select a figure
if fig is None:
if ax is not None:
fig = ax.get_figure()
else:
fig = plt.figure(figsize=size)
elif isinstance(fig, matplotlib.figure.Figure):
pass
else:
fig = plt.figure(fig)
# Select an axes
if ax is None:
fig.clf()
ax = fig.add_subplot(111)
#Critical and Tripe point properties
Tc, pc, dc = mpobj.critical(density=True)
Tt, pt = mpobj.triple()
#auto compute T limits
if Tlim is None:
Tlim = mpobj.Tlim()
#Compute pressure limits
plim = mpobj.plim()
plim[0] = max(pt, plim[0])
#Get lines of Entropy, pressure and enthalpy
if slines is None:
SLINES = _slines(mpobj)
else:
SLINES = np.asarray(slines)
if plines is None:
PLINES = _plines(mpobj)
else:
PLINES = np.asarray(plines)
if hlines is None:
HLINES = _hlines(mpobj,n=5)
else:
HLINES = np.asarray(hlines)
# Generate lines
Tn = (Tc - Tt) / 1000.
T = np.linspace(Tlim[0] + Tn, Tlim[1] - Tn, 151) #a base temperature vector
# Lines of constant pressure
PLABELS = {}
for p in PLINES:
d = mpobj.d(T=T, p=p)
ax.semilogx(1/d, T,
config['p_style'],
color=config['p_color'],
lw=config['p_width'])
PLABELS[p] = _get_slope(1/d, T, 1, 0.1, 'logx')
# Lines of constant entropy
SLABELS = {}
for s in np.copy(SLINES):
try:
psp = np.logspace(np.log10(1e-5 * plim[1]), np.log10(0.95 * plim[1]), 20)
T, xh = mpobj.T_s(p=psp, s=s, quality=True)
v = 1 / mpobj.d(T=T, p=psp)
if (max(xh) > 0):
v[xh > 0] = 1 / mpobj.d(T=T[xh > 0], x=xh[xh > 0])
ax.plot(v, T,
config['d_style'],
color=config['d_color'],
lw=config['d_width'])
SLABELS[s] = _get_slope(v, T, 0, 0.1, 'logx')
except pm.utility.PMAnalysisError:
try:
p_s = pmsolve.solve1n('p', f=mpobj.T_s, param_init=1.5*plim[0])
pmax = p_s(0.95*Tlim[1],s=s)
psp2 = np.logspace(np.log10(1e-5 * plim[1]), np.log10(pmax), 20)
T, xh = mpobj.T_s(p=psp2, s=s, quality=True)
v = 1 / mpobj.d(T=T, p=psp2)
if (max(xh) > 0):
v[xh > 0] = 1 / mpobj.d(T=T[xh > 0], x=xh[xh > 0])
ax.plot(v, T,
config['s_style'],
color=config['s_color'],
lw=config['s_width'])
SLABELS[s] = _get_slope(v, T, 0.75, 0.1, 'logx')
except pm.utility.PMAnalysisError as E:
SLINES = np.setdiff1d(SLINES,s) #removes s
print('s=', s, ' failed due to iter1_() guess error')
# Lines of constant enthalpy
HLABELS = {}
for h in np.copy(HLINES): # Copy HLINES for the iteration, so that we can remove ones that fail
try:
psp = np.logspace(np.log10(1e-5*plim[1]),np.log10(0.95*plim[1]),25)
T, xh = mpobj.T_h(p=psp, h=h, quality=True)
v = 1/mpobj.d(T=T, p=psp)
if (max(xh) > 0):
v[xh > 0] = 1/mpobj.d(T=T[xh > 0], x=xh[xh > 0])
ax.plot(v, T,
config['h_style'],
color=config['h_color'],
lw=config['h_width'])
HLABELS[h] = _get_slope(v, T, 1, 0.05, 'logx')
except pm.utility.PMAnalysisError:
HLINES = np.setdiff1d(HLINES,h) #removes h
print('h=',h,' failed due to iter1_() guess error')
# Generate the dome
T = np.linspace(Tt + Tn, Tc - Tn, 101)
dsL, dsV = mpobj.ds(T)
ax.semilogx(1/dsL, T,
ls=config['sat_style'],
color=config['sat_color'],
lw=config['sat_width'])
ax.semilogx(1/dsV, T,
ls=config['sat_style'],
color=config['sat_color'],
lw=config['sat_width'])
# Get the scaling ratio for slopes
r = _slope_ratio(ax, scaling='logx')
# LABELS of constant pressure
units = '%s' % (pm.config['unit_pressure'])
loc = ('right','top')
color = config['p_color']
numformat = '%.3g'
_labellines(ax,PLINES,PLABELS,r,units,numformat,loc,color)
# LABELS of constant enthalpy
units = '%s/%s' % (pm.config['unit_energy'], pm.config['unit_matter'])
loc = ('right','top')
color = config['h_color']
numformat = '%d '
_labellines(ax,HLINES,HLABELS,r,units,numformat,loc,color)
# LABELS of constant entropy
units = '%s/(%s%s)' % (pm.config['unit_energy'], pm.config['unit_matter'],pm.config['unit_temperature'])
loc = ('left','top')
color = config['s_color']
numformat = '%0.2g'
_labellines(ax,SLINES,SLABELS,r,units,numformat,loc,color)
# Label the v-axis
ax.set_xlabel('v [%s/%s]' % (
pm.config['unit_volume'],
pm.config['unit_matter'],
))
# Label the T-axis
ax.set_ylabel('T [%s]' % (
pm.config['unit_temperature']))
# Label the figure
ax.set_title('%s T-v Diagram' % (mpobj.data['id']))
if display:
plt.show(block=False)
return ax