实现test_mql PNL0001管路动态
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from __future__ import annotations
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from dataclasses import dataclass
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from math import log10, pi
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from PythonModels.components.amesim_pneumatic import (
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HELIUM_PNEUMATIC_GAS,
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AmesimPneumaticGas,
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diameter_mm_to_area_m2,
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)
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from PythonModels.core.base import DynamicComponent
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from PythonModels.core.medium import ThermodynamicProperties
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from PythonModels.core.ports import PortState
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from PythonModels.core.state import VolumeState
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@dataclass(frozen=True)
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class AmesimPnl0001Diagnostics:
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mass_flow_kg_s: float
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reynolds_number: float
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gas_velocity_m_s: float
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friction_factor: float
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pressure_drop_pa: float
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class AmesimPnl0001Pipe(DynamicComponent):
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"""Physical first-pass implementation of AMESim ``PNL0001`` (C-R).
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Port 2 owns the lumped gas storage. Port 1 is connected through a Darcy
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resistance. Both connection mass flows use the PythonModels convention:
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positive values enter the pipe storage.
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AMESim's proprietary pressure-loss calibration is not available in the
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archive. This implementation therefore uses an explicit Darcy-Weisbach
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law while preserving the real geometry, state count, mass/energy balance,
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heat-transfer parameter, and observable diagnostics.
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"""
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def __init__(
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self,
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name: str,
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*,
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diameter_mm: float,
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length_m: float,
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relative_roughness: float,
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polytropic_constant: float = 1.35,
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heat_transfer_coefficient: float = 0.0,
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external_temperature_k: float = 293.15,
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gas: AmesimPneumaticGas = HELIUM_PNEUMATIC_GAS,
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p0: float = 101_325.0,
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T0: float = 293.15,
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) -> None:
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if diameter_mm <= 0.0:
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raise ValueError("diameter_mm must be positive")
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if length_m <= 0.0:
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raise ValueError("length_m must be positive")
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if relative_roughness < 0.0:
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raise ValueError("relative_roughness must be non-negative")
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if polytropic_constant <= 0.0:
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raise ValueError("polytropic_constant must be positive")
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if heat_transfer_coefficient < 0.0:
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raise ValueError("heat_transfer_coefficient must be non-negative")
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if external_temperature_k <= 0.0:
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raise ValueError("external_temperature_k must be positive")
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super().__init__(name=name)
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self.diameter = diameter_mm * 1.0e-3
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self.length = length_m
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self.relative_roughness = relative_roughness
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self.polytropic_constant = polytropic_constant
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self.heat_transfer_coefficient = heat_transfer_coefficient
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self.external_temperature = external_temperature_k
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self.gas = gas
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self.area = diameter_mm_to_area_m2(diameter_mm)
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self.volume = self.area * self.length
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self.heat_transfer_area = pi * self.diameter * self.length
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rho0 = gas.density(p0, T0)
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mass0 = rho0 * self.volume
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self.state = VolumeState(
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m=mass0,
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U=mass0 * gas.specific_internal_energy(T0),
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)
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self.port_1 = PortState()
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self.port_2 = PortState()
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def get_state_vector(self) -> list[float]:
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return self.state.as_vector()
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def set_state_vector(self, values: list[float]) -> None:
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self.state = VolumeState.from_vector(values)
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def properties(self) -> ThermodynamicProperties:
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if self.state.m <= 0.0:
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raise ValueError("pipe mass must stay positive")
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temperature = self.gas.temperature_from_internal_energy(
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self.state.U / self.state.m
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)
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density = self.state.m / self.volume
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pressure = self.gas.pressure(density, temperature)
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properties = ThermodynamicProperties(
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p=pressure,
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T=temperature,
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rho=density,
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u=self.state.U / self.state.m,
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h=self.gas.specific_enthalpy(temperature),
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)
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self.port_2.p = pressure
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self.port_2.h_outflow = properties.h
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return properties
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def gas_mass_g(self) -> float:
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return self.state.m * 1.0e3
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def resistance_mass_flow(
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self,
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*,
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port_1_pressure_pa: float,
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port_1_temperature_k: float,
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) -> float:
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"""Return mass flow from port 1 into the port-2 storage in kg/s."""
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if port_1_pressure_pa <= 0.0:
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raise ValueError("port_1_pressure_pa must be positive")
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if port_1_temperature_k <= 0.0:
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raise ValueError("port_1_temperature_k must be positive")
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internal = self.properties()
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pressure_difference = port_1_pressure_pa - internal.p
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if pressure_difference == 0.0:
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return 0.0
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upstream_pressure = max(port_1_pressure_pa, internal.p)
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upstream_temperature = (
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port_1_temperature_k if pressure_difference > 0.0 else internal.T
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)
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density = self.gas.density(upstream_pressure, upstream_temperature)
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magnitude = self._mass_flow_for_pressure_drop(
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abs(pressure_difference),
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density=density,
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temperature=upstream_temperature,
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)
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return magnitude if pressure_difference > 0.0 else -magnitude
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def diagnostics(
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self,
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*,
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mass_flow_kg_s: float,
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temperature_k: float | None = None,
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) -> AmesimPnl0001Diagnostics:
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properties = self.properties()
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temperature = temperature_k or properties.T
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reynolds = self._reynolds_number(mass_flow_kg_s, temperature)
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friction_factor = self._friction_factor(reynolds)
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velocity = mass_flow_kg_s / (properties.rho * self.area)
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pressure_drop = self._darcy_pressure_drop(
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mass_flow_kg_s,
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density=properties.rho,
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temperature=temperature,
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)
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return AmesimPnl0001Diagnostics(
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mass_flow_kg_s=mass_flow_kg_s,
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reynolds_number=reynolds,
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gas_velocity_m_s=velocity,
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friction_factor=friction_factor,
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pressure_drop_pa=pressure_drop,
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)
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def derivatives_from_connections(
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self,
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*,
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port_1_m_flow: float,
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connected_h_1: float,
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port_2_m_flow: float,
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connected_h_2: float,
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) -> VolumeState:
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internal = self.properties()
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inlet_h_1 = self.connection_inlet_enthalpy(
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port_m_flow=port_1_m_flow,
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connected_h=connected_h_1,
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internal_h=internal.h,
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)
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inlet_h_2 = self.connection_inlet_enthalpy(
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port_m_flow=port_2_m_flow,
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connected_h=connected_h_2,
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internal_h=internal.h,
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)
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heat_flow = (
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self.heat_transfer_coefficient
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* self.heat_transfer_area
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* (self.external_temperature - internal.T)
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)
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return VolumeState(
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m=port_1_m_flow + port_2_m_flow,
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U=port_1_m_flow * inlet_h_1 + port_2_m_flow * inlet_h_2 + heat_flow,
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)
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def _mass_flow_for_pressure_drop(
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self,
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pressure_drop_pa: float,
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*,
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density: float,
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temperature: float,
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) -> float:
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if pressure_drop_pa <= 0.0:
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return 0.0
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upper = 1.0e-9
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while self._darcy_pressure_drop(
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upper,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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upper *= 10.0
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if upper > 1.0e3:
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raise ValueError("unable to bracket PNL0001 resistance flow")
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lower = 0.0
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for _ in range(80):
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middle = 0.5 * (lower + upper)
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if self._darcy_pressure_drop(
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middle,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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lower = middle
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else:
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upper = middle
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return 0.5 * (lower + upper)
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def _darcy_pressure_drop(
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self,
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mass_flow_kg_s: float,
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*,
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density: float,
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temperature: float,
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) -> float:
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if mass_flow_kg_s == 0.0:
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return 0.0
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reynolds = self._reynolds_number(mass_flow_kg_s, temperature)
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friction_factor = self._friction_factor(reynolds)
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velocity = mass_flow_kg_s / (density * self.area)
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magnitude = (
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friction_factor
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* (self.length / self.diameter)
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* density
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* velocity
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* velocity
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/ 2.0
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)
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return magnitude if mass_flow_kg_s > 0.0 else -magnitude
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def _reynolds_number(self, mass_flow_kg_s: float, temperature: float) -> float:
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viscosity = helium_dynamic_viscosity(temperature)
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return 4.0 * abs(mass_flow_kg_s) / (pi * self.diameter * viscosity)
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def _friction_factor(self, reynolds_number: float) -> float:
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if reynolds_number <= 0.0:
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return 64_000_000.0
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laminar = 64.0 / reynolds_number
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if reynolds_number <= 2_300.0:
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return laminar
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turbulent = 1.0 / (
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-1.8
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* log10(
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(self.relative_roughness / 3.7) ** 1.11
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+ 6.9 / reynolds_number
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)
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) ** 2
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if reynolds_number >= 4_000.0:
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return turbulent
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fraction = (reynolds_number - 2_300.0) / 1_700.0
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return laminar + fraction * (turbulent - laminar)
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def helium_dynamic_viscosity(temperature_k: float) -> float:
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"""Sutherland approximation centered on the test_mql initial condition."""
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if temperature_k <= 0.0:
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raise ValueError("temperature_k must be positive")
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reference_temperature = 293.15
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reference_viscosity = 2.0e-5
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sutherland_constant = 79.4
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return (
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reference_viscosity
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* (temperature_k / reference_temperature) ** 1.5
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* (reference_temperature + sutherland_constant)
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/ (temperature_k + sutherland_constant)
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)
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