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Address #967 comments
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4 changed files with 129 additions and 132 deletions
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@ -10,9 +10,9 @@ Convenience Functions
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:nosignatures:
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:template: myfunction.rst
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openmc.model.borated_water
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openmc.model.get_hexagonal_prism
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openmc.model.get_rectangular_prism
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openmc.model.make_borated_water
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openmc.model.subdivide
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TRISO Fuel Modeling
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@ -251,19 +251,19 @@ def water_density(temperature, pressure=0.1013):
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warn("Results are not valid for temperatures above 623.15 K.")
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# IAPWS region 4 parameters
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_n4 = [0.11670521452767e4, -0.72421316703206e6, -0.17073846940092e2,
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0.12020824702470e5, -0.32325550322333e7, 0.14915108613530e2,
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-0.48232657361591e4, 0.40511340542057e6, -0.23855557567849,
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0.65017534844798e3]
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n4 = [0.11670521452767e4, -0.72421316703206e6, -0.17073846940092e2,
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0.12020824702470e5, -0.32325550322333e7, 0.14915108613530e2,
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-0.48232657361591e4, 0.40511340542057e6, -0.23855557567849,
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0.65017534844798e3]
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# Compute the saturation temperature at the given pressure.
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beta = pressure**(0.25)
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E = beta**2 + _n4[2] * beta + _n4[5]
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F = _n4[0] * beta**2 + _n4[3] * beta + _n4[6]
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G = _n4[1] * beta**2 + _n4[4] * beta + _n4[7]
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E = beta**2 + n4[2] * beta + n4[5]
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F = n4[0] * beta**2 + n4[3] * beta + n4[6]
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G = n4[1] * beta**2 + n4[4] * beta + n4[7]
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D = 2.0 * G / (-F - sqrt(F**2 - 4 * E * G))
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T_sat = 0.5 * (_n4[9] + D
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- sqrt((_n4[9] + D)**2 - 4.0 * (_n4[8] + _n4[9] * D)))
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T_sat = 0.5 * (n4[9] + D
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- sqrt((n4[9] + D)**2 - 4.0 * (n4[8] + n4[9] * D)))
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# Make sure we aren't above saturation. (Relax this bound by .2 degrees
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# for deg C to K conversions.)
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@ -273,38 +273,37 @@ def water_density(temperature, pressure=0.1013):
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# IAPWS region 1 parameters
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R_GAS_CONSTANT = 0.461526 # kJ / kg / K
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_ref_p = 16.53 # MPa
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_ref_T = 1386 # K
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_n1f = [0.14632971213167, -0.84548187169114, -0.37563603672040e1,
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0.33855169168385e1, -0.95791963387872, 0.15772038513228,
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-0.16616417199501e-1, 0.81214629983568e-3, 0.28319080123804e-3,
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-0.60706301565874e-3, -0.18990068218419e-1, -0.32529748770505e-1,
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-0.21841717175414e-1, -0.52838357969930e-4, -0.47184321073267e-3,
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-0.30001780793026e-3, 0.47661393906987e-4, -0.44141845330846e-5,
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-0.72694996297594e-15, -0.31679644845054e-4, -0.28270797985312e-5,
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-0.85205128120103e-9, -0.22425281908000e-5, -0.65171222895601e-6,
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-0.14341729937924e-12, -0.40516996860117e-6, -0.12734301741641e-8,
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-0.17424871230634e-9, -0.68762131295531e-18, 0.14478307828521e-19,
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0.26335781662795e-22, -0.11947622640071e-22, 0.18228094581404e-23,
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-0.93537087292458e-25]
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_I1f = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4,
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4, 4, 5, 8, 8, 21, 23, 29, 30, 31, 32]
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_J1f = [-2, -1, 0, 1, 2, 3, 4, 5, -9, -7, -1, 0, 1, 3, -3, 0, 1, 3, 17, -4,
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0, 6, -5, -2, 10, -8, -11, -6, -29, -31, -38, -39, -40, -41]
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ref_p = 16.53 # MPa
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ref_T = 1386 # K
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n1f = [0.14632971213167, -0.84548187169114, -0.37563603672040e1,
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0.33855169168385e1, -0.95791963387872, 0.15772038513228,
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-0.16616417199501e-1, 0.81214629983568e-3, 0.28319080123804e-3,
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-0.60706301565874e-3, -0.18990068218419e-1, -0.32529748770505e-1,
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-0.21841717175414e-1, -0.52838357969930e-4, -0.47184321073267e-3,
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-0.30001780793026e-3, 0.47661393906987e-4, -0.44141845330846e-5,
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-0.72694996297594e-15, -0.31679644845054e-4, -0.28270797985312e-5,
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-0.85205128120103e-9, -0.22425281908000e-5, -0.65171222895601e-6,
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-0.14341729937924e-12, -0.40516996860117e-6, -0.12734301741641e-8,
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-0.17424871230634e-9, -0.68762131295531e-18, 0.14478307828521e-19,
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0.26335781662795e-22, -0.11947622640071e-22, 0.18228094581404e-23,
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-0.93537087292458e-25]
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I1f = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4,
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4, 4, 5, 8, 8, 21, 23, 29, 30, 31, 32]
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J1f = [-2, -1, 0, 1, 2, 3, 4, 5, -9, -7, -1, 0, 1, 3, -3, 0, 1, 3, 17, -4,
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0, 6, -5, -2, 10, -8, -11, -6, -29, -31, -38, -39, -40, -41]
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# Nondimensionalize the pressure and temperature.
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pi = pressure / _ref_p
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tau = _ref_T / temperature
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pi = pressure / ref_p
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tau = ref_T / temperature
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# Compute the derivative of gamma (dimensionless Gibbs free energy) with
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# respect to pi.
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gamma1_pi = 0.0
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for i in range(34):
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gamma1_pi -= (_n1f[i] * _I1f[i] * (7.1 - pi)**(_I1f[i] - 1)
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* (tau - 1.222)**_J1f[i])
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for n, I, J in zip(n1f, I1f, J1f):
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gamma1_pi -= n * I * (7.1 - pi)**(I - 1) * (tau - 1.222)**J
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# Compute the leading coefficient. This sets the units at
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# 1 [MPa] * [kg K / kJ] / [1 / K]
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# 1 [MPa] * [kg K / kJ] * [1 / K]
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# = 1e6 [N / m^2] * 1e-3 [kg K / N / m] * [1 / K]
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# = 1e3 [kg / m^3]
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# = 1 [g / cm^3]
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@ -8,6 +8,98 @@ from openmc.checkvalue import check_type, check_value
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import openmc.data
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def borated_water(boron_ppm, temperature=293., pressure=0.1013, temp_unit='K',
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press_unit='MPa', density=None, **kwargs):
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"""Return a Material with the composition of boron dissolved in water.
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The water density can be determined from a temperature and pressure, or it
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can be set directly.
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The concentration of boron has no effect on the stoichiometric ratio of H
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and O---they are fixed at 2-1.
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Parameters
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----------
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boron_ppm : float
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The weight fraction in parts-per-million of elemental boron in the
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water.
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temperature : float
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Temperature in [K] used to compute water density.
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pressure : float
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Pressure in [MPa] used to compute water density.
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temp_unit : {'K', 'C', 'F'}
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The units used for the `temperature` argument.
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press_unit : {'MPa', 'psi'}
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The units used for the `pressure` argument.
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density : float
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Water density in [g / cm^3]. If specified, this value overrides the
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temperature and pressure arguments.
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**kwargs
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All keyword arguments are passed to the created Material object.
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Returns
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-------
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openmc.Material
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"""
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# Perform any necessary unit conversions.
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check_value('temperature unit', temp_unit, ('K', 'C', 'F'))
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if temp_unit == 'K':
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T = temperature
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elif temp_unit == 'C':
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T = temperature + 273.15
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elif temp_unit == 'F':
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T = (temperature + 459.67) * 5.0 / 9.0
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check_value('pressure unit', press_unit, ('MPa', 'psi'))
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if press_unit == 'MPa':
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P = pressure
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elif press_unit == 'psi':
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P = pressure * 0.006895
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# Set the density of water, either from an explicitly given density or from
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# temperature and pressure.
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if density is not None:
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water_density = density
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else:
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water_density = openmc.data.water_density(T, P)
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# Compute the density of the solution.
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solution_density = water_density / (1 - boron_ppm * 1e-6)
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# Compute the molar mass of pure water.
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hydrogen = openmc.Element('H')
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oxygen = openmc.Element('O')
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M_H2O = 0.0
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for iso_name, frac, junk in hydrogen.expand(2.0, 'ao'):
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M_H2O += frac * openmc.data.atomic_mass(iso_name)
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for iso_name, frac, junk in oxygen.expand(1.0, 'ao'):
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M_H2O += frac * openmc.data.atomic_mass(iso_name)
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# Compute the molar mass of boron.
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boron = openmc.Element('B')
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M_B = 0.0
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for iso_name, frac, junk in boron.expand(1.0, 'ao'):
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M_B += frac * openmc.data.atomic_mass(iso_name)
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# Compute the number fractions of each element.
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frac_H2O = (1 - boron_ppm * 1e-6) / M_H2O
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frac_H = 2 * frac_H2O
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frac_O = frac_H2O
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frac_B = boron_ppm * 1e-6 / M_B
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# Build the material.
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if density is None:
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out = openmc.Material(temperature=T, **kwargs)
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else:
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out = openmc.Material(**kwargs)
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out.add_element('H', frac_H, 'ao')
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out.add_element('O', frac_O, 'ao')
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out.add_element('B', frac_B, 'ao')
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out.set_density('g/cc', solution_density)
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out.add_s_alpha_beta('c_H_in_H2O')
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return out
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def get_rectangular_prism(width, height, axis='z', origin=(0., 0.),
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boundary_type='transmission', corner_radius=0.):
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"""Get an infinite rectangular prism from four planar surfaces.
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@ -253,100 +345,6 @@ def get_hexagonal_prism(edge_length=1., orientation='y', origin=(0., 0.),
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return prism
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def make_borated_water(boron_ppm, temperature=293., pressure=0.1013,
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temp_unit='K', press_unit='MPa', density=None, **kwargs):
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"""Return a Material with the composition of boron dissolved in water.
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The water density can be determined from a temperature and pressure, or it
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can be set directly.
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The concentration of boron has no effect on the stoichometric ratio of H
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and O---they are fixed at 2-1.
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Parameters
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----------
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boron_ppm : float
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The weight fraction in parts-per-million of elemental boron in the
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water.
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temperature : float
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Temperature in [K] used to compute water density.
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pressure : float
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Pressure in [MPa] used to compute water density.
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temp_unit : str
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The units used for the `temperature` argument. Valid units are 'K',
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'C', and 'F'.
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press_unit : str
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The units used for the `pressure` argument. Valid units are 'MPa' and
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'psi'.
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density : float
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Water density in [g / cm^3]. If specified, this value overrides the
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temperature and pressure arguments.
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**kwargs
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All keyword arguments are passed to the created Material object.
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Returns
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-------
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openmc.Material
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"""
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# Perform any necessary unit conversions.
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check_value('temperature unit', temp_unit, ('K', 'C', 'F'))
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if temp_unit == 'K':
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T = temperature
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elif temp_unit == 'C':
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T = temperature + 273.15
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elif temp_unit == 'F':
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T = (temperature + 459.67) * 5.0 / 9.0
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check_value('pressure unit', press_unit, ('MPa', 'psi'))
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if press_unit == 'MPa':
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P = pressure
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elif press_unit == 'psi':
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P = pressure * 0.006895
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# Set the density of water, either from an explicitly given density or from
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# temperature and pressure.
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if density is not None:
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water_density = density
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else:
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water_density = openmc.data.water_density(T, P)
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# Compute the density of the solution.
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solution_density = water_density / (1 - boron_ppm * 1e-6)
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# Compute the molar mass of pure water.
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hydrogen = openmc.Element('H')
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oxygen = openmc.Element('O')
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M_H2O = 0.0
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for iso_name, frac, junk in hydrogen.expand(2.0, 'ao'):
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M_H2O += frac * openmc.data.atomic_mass(iso_name)
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for iso_name, frac, junk in oxygen.expand(1.0, 'ao'):
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M_H2O += frac * openmc.data.atomic_mass(iso_name)
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# Compute the molar mass of boron.
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boron = openmc.Element('B')
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M_B = 0.0
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for iso_name, frac, junk in boron.expand(1.0, 'ao'):
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M_B += frac * openmc.data.atomic_mass(iso_name)
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# Compute the number fractions of each element.
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frac_H2O = (1 - boron_ppm * 1e-6) / M_H2O
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frac_H = 2 * frac_H2O
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frac_O = frac_H2O
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frac_B = boron_ppm * 1e-6 / M_B
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# Build the material.
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if density is None:
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out = openmc.Material(temperature=T, **kwargs)
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else:
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out = openmc.Material(**kwargs)
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out.add_element('H', frac_H, 'ao')
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out.add_element('O', frac_O, 'ao')
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out.add_element('B', frac_B, 'ao')
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out.set_density('g/cc', solution_density)
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out.add_s_alpha_beta('c_H_in_H2O')
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return out
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def subdivide(surfaces):
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"""Create regions separated by a series of surfaces.
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@ -143,7 +143,7 @@ def test_materials(run_in_tmpdir):
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def test_borated_water():
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# Test against reference values from the BEAVRS benchmark.
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m = openmc.model.make_borated_water(975, 566.5, 15.51, material_id=50)
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m = openmc.model.borated_water(975, 566.5, 15.51, material_id=50)
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assert m.density == pytest.approx(0.7405, 1e-3)
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assert m.temperature == pytest.approx(566.5)
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assert m._sab[0][0] == 'c_H_in_H2O'
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@ -155,13 +155,13 @@ def test_borated_water():
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assert m.id == 50
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# Test the Celsius conversion.
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m = openmc.model.make_borated_water(975, 293.35, 15.51, 'C')
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m = openmc.model.borated_water(975, 293.35, 15.51, 'C')
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assert m.density == pytest.approx(0.7405, 1e-3)
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# Test Fahrenheit and psi conversions.
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m = openmc.model.make_borated_water(975, 560.0, 2250.0, 'F', 'psi')
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m = openmc.model.borated_water(975, 560.0, 2250.0, 'F', 'psi')
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assert m.density == pytest.approx(0.7405, 1e-3)
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# Test the density override
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m = openmc.model.make_borated_water(975, 566.5, 15.51, density=0.9)
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m = openmc.model.borated_water(975, 566.5, 15.51, density=0.9)
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assert m.density == pytest.approx(0.9, 1e-3)
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