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Tube_materials.py
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Tube_materials.py
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import numpy as N
def check_valid(prop):
def wrapper_check_valid(self, T):
if hasattr(T,'__len__'):
Tlow = (T<self.Tmin).any()
Thigh = (T>self.Tmax).any()
else:
Tlow = (T<self.Tmin)
Thigh = (T>self.Tmax)
if Tlow or Thigh:
print "Temperature outside of correlations range"
return N.nan
else:
return prop(self, T)
return wrapper_check_valid
class Pipe_material():
def __init__(self, Tmin, Tmax):
self.Tmin = Tmin
self.Tmax = Tmax
class SS304(Pipe_material):
'''
Stainless steel 304 properties. So far only thermal conductivity extracted from the data in: http://www.inductor-jmag.ru/files/content/a129160.pdf
'''
def __init__(self, Tmin=273., Tmax=1600.):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return -2e-06*T**2. + 0.0176*T + 9.8445
class SS316(Pipe_material):
'''
Stainless steel 316 properties. So far only thermal conductivity extracted from the data in: http://www.inductor-jmag.ru/files/content/a129160.pdf
'''
def __init__(self, Tmin=273., Tmax=1600.):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return -2E-06*T**2. + 0.0179*T + 8.3005
class Inconel601(Pipe_material):
'''
Inconel 601 properties. All units SI. Source: http://www.specialmetals.com/assets/smc/documents/alloys/inconel/inconel-alloy-601.pdf
'''
def __init__(self, Tmin=273., Tmax=1273.15):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return 1.686e-2*T+6.342
def rho(self):
return 8.11e3
@check_valid
def E(self, T):
return -4.983e4*T**2.-3.264e6*T+2.105e11
@check_valid
def nu(self, T):
return 7.194e-11*T**3.-8.477e-8*T**2.+1.073e-4*T+2.462e-1
@check_valid
def alpha(self, T):
return 2.011e-12*T**2.+1.023e-9*T+1.325e-5
class Haynes230(Pipe_material):
'''
Haynes 230 properties from manufacturer data. All units SI.
'''
def __init__(self, Tmin=273., Tmax=1171.15):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return 1.996e-2*T+2.9807
@check_valid
def rho(self):
return 9.05e3
@check_valid
def E(self, T):
return 6.6039*T**3.-2.6694e4*T**2.-3.4176e7*T+2.2319e11
@check_valid
def nu(self, T):
return 2.0451e-14*T**4.-6.454e-12*T**3.-3.9514e-8*T**2.+5.9632e-5*T+0.30569
@check_valid
def alpha(self, T):
return 9.848e-13*T**2.+2.179e-9*T+1.175e-5
@check_valid
def UTS(self, T):
T0 = N.logical_and(T>=273.15, T<573.)
T1 = N.logical_and(T>=573., T<850.)
T2 = N.logical_and(T>=850., T<1173.15)
if hasattr(T,'__len__'):
UTS = N.zeros(len(T))
UTS[T0] = 1e6*(-2.822e-7*T[T0]**3.+3.390e-4*T[T0]**2.-1.339e-1*T[T0]+2.244e2)
UTS[T1] = 1e6*(-3.994e-8*T[T1]**4.+1.088e-4*T[T1]**3.-1.102e-1*T[T1]**2.+4.913e1*T[T1]-7.927e3)
UTS[T2] = 1e6*(-3.381e-6*T[T2]**3.+1.177e-2*T[T2]**2.-1.388e1*T[T2]+5.549e3)
else:
if T0:
UTS = 1e6*(-2.822e-7*T**3.+3.390e-4*T**2.-1.339e-1*T+2.244e2)
elif T1:
UTS = 1e6*(-4.183e-12*T**6.+1.755e-8*T**5.-3.058e-5*T**4.+2.834e-2*T**3.-1.473e1*T**2.+4.069e3*T-4.667e5)
elif T2:
UTS = 1e6*(-3.381e-6*T**3.+1.177e-2*T**2.-1.388e1*T+5.547e3)
return UTS
class Inconel617(Pipe_material):
'''
Inconel 617 properties from manufacturer data (Haynes). All units SI.
'''
def __init__(self, Tmin=273., Tmax=1293.15):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return 1.553e-2*T+8.873
def rho(self):
return 8.36e3
@check_valid
def E(self, T):
return -5.3770*T**3.-8.6056e3*T**2.-4.8497e7*T+2.2597e11
@check_valid
def nu(self, T):
return 1.3022e-18*T**6 - 5.5851e-15*T**5 + 9.6060e-12*T**4 - 8.4475e-09*T**3 + 3.9905e-06*T**2 - 9.5677e-04*T + 3.9074e-01
@check_valid
def alpha(self, T):
return 2.431e-22*T**6 - 1.207e-18*T**5 + 2.394e-15*T**4 - 2.407e-12*T**3 + 1.281e-09*T**2 - 3.335e-07*T + 4.438e-05
class Inconel625(Pipe_material):
'''
Inconel 625 properties from manufacturer data (Haynes). All units SI.
'''
def __init__(self, Tmin=273., Tmax=1293.15):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return 6.576E-09*T**3 - 1.244E-05*T**2 + 2.196E-02*T + 4.195E+00
def rho(self):
return 8.44e3
@check_valid
def E(self, T):
return -4.7974E+01*T**3 + 6.4592E+04*T**2 - 8.3741E+07*T + 2.2763E+11
@check_valid
def nu(self, T):
return 1.7388E-15*T**5 - 7.0343E-12*T**4 + 1.0599E-08*T**3 - 7.3294E-06*T**2 + 2.3685E-03*T - 6.6376E-03
@check_valid
def alpha(self, T):
return 2.955E-12*T**2 + 2.874E-10*T + 1.228E-05
class Inconel740H(Pipe_material):
'''
Inconel 740H properties from https://inldigitallibrary.inl.gov/sites/sti/sti/Sort_19892.pdf: INL report: Creep-Fatigue Behavior and Damage Accumulation of a Candidate Structural Material for Concentrating Solar Power Thermal Receiver Quarter 6 Report.
'''
def __init__(self, Tmin=273., Tmax=1193.15):
Pipe_material.__init__(self, Tmin, Tmax)
@check_valid
def k(self, T):
return 9.487E-09*T**3 - 1.810E-05*T**2 + 2.490E-02*T + 4.307E+00
def rho(self):
return 8.05e3
@check_valid
def E(self, T):
return -5.1309*T**3 - 1.6160E+04*T**2 - 3.6773E+07*T + 2.3363E+11
@check_valid
def nu(self, T):
return N.ones(len(T))*0.31
@check_valid
def alpha(self, T):
return 1.194e-14*T**3-2.359E-11*T**2 + 1.888E-8*T + 8.603E-06
if __name__ == '__main__':
import sys
import matplotlib.pyplot as plt
plt.figure()
plt.subplots_adjust(wspace=0.3, hspace=0.3)
metals = [Haynes230(), Inconel617(), Inconel625(), Inconel740H()]
plt.subplot(221)
for mat in metals:
Ts = N.linspace(mat.Tmin, mat.Tmax, 100)
plt.plot(Ts-273.15, mat.k(Ts), label=mat.__class__.__name__)
plt.ylabel(r'k (W.m${^{-1}}$.K${^{-1}}$)')
plt.xlabel('T (C)')
plt.subplot(222)
for mat in metals:
Ts = N.linspace(mat.Tmin, mat.Tmax, 100)
plt.plot(Ts-273.15, mat.E(Ts)/1e9, label=mat.__class__.__name__)
plt.legend()
plt.ylabel('E (GPa)')
plt.xlabel('T (C)')
plt.subplot(223)
for mat in metals:
Ts = N.linspace(mat.Tmin, mat.Tmax, 100)
plt.plot(Ts-273.15, mat.alpha(Ts)*1e6)
plt.ylabel(r'${\alpha}$(${\mu}$m.m${^{-1}}$)')
plt.xlabel('T (C)')
plt.subplot(224)
for mat in metals:
Ts = N.linspace(mat.Tmin, mat.Tmax, 100)
plt.plot(Ts-273.15, mat.nu(Ts))
plt.xlabel('T (C)')
plt.ylabel('Poisson')
plt.savefig(sys.path[0]+'/Alloy_props.png')