use super::traits::TransportModel;
use crate::polynomial::Polynomial;
use crate::thermophysics::eos::EquationOfState;
use crate::thermophysics::imports::*;
use crate::thermophysics::thermo::ThermoModel;
#[derive(Debug, Clone)]
pub struct PolynomialTransport<T: ThermoModel, const N: usize> {
thermo: T,
mu_poly: Polynomial<N>,
kappa_poly: Polynomial<N>,
}
impl<T: ThermoModel, const N: usize> PolynomialTransport<T, N> {
pub fn new(thermo: T, mu_poly: Polynomial<N>, kappa_poly: Polynomial<N>) -> Self {
Self {
thermo,
mu_poly,
kappa_poly,
}
}
}
impl<T: ThermoModel, const N: usize> EquationOfState for PolynomialTransport<T, N> {
fn mol_weight(&self) -> MolarMass {
self.thermo.mol_weight()
}
fn r(&self) -> SpecificHeatCapacity {
self.thermo.r()
}
fn rho(&self, p: Pressure, t: ThermodynamicTemperature) -> MassDensity {
self.thermo.rho(p, t)
}
fn psi(&self, p: Pressure, t: ThermodynamicTemperature) -> Compressibility {
self.thermo.psi(p, t)
}
fn z(&self, p: Pressure, t: ThermodynamicTemperature) -> Ratio {
self.thermo.z(p, t)
}
fn cp_m_cv(&self, p: Pressure, t: ThermodynamicTemperature) -> SpecificHeatCapacity {
self.thermo.cp_m_cv(p, t)
}
fn cp_eos(&self, p: Pressure, t: ThermodynamicTemperature) -> SpecificHeatCapacity {
self.thermo.cp_eos(p, t)
}
fn h_eos(&self, p: Pressure, t: ThermodynamicTemperature) -> AvailableEnergy {
self.thermo.h_eos(p, t)
}
fn e_eos(&self, p: Pressure, t: ThermodynamicTemperature) -> AvailableEnergy {
self.thermo.e_eos(p, t)
}
fn s_eos(&self, p: Pressure, t: ThermodynamicTemperature) -> SpecificHeatCapacity {
self.thermo.s_eos(p, t)
}
}
impl<T: ThermoModel, const N: usize> ThermoModel for PolynomialTransport<T, N> {
fn cp(&self, p: Pressure, t: ThermodynamicTemperature) -> SpecificHeatCapacity {
self.thermo.cp(p, t)
}
fn ha(&self, p: Pressure, t: ThermodynamicTemperature) -> AvailableEnergy {
self.thermo.ha(p, t)
}
fn hs(&self, p: Pressure, t: ThermodynamicTemperature) -> AvailableEnergy {
self.thermo.hs(p, t)
}
fn hc(&self) -> AvailableEnergy {
self.thermo.hc()
}
fn s(&self, p: Pressure, t: ThermodynamicTemperature) -> SpecificHeatCapacity {
self.thermo.s(p, t)
}
}
impl<T: ThermoModel, const N: usize> TransportModel for PolynomialTransport<T, N> {
fn mu(&self, _p: Pressure, t: ThermodynamicTemperature) -> DynamicViscosity {
DynamicViscosity::new::<pascal_second>(self.mu_poly.value(t.get::<kelvin>()))
}
fn kappa(&self, _p: Pressure, t: ThermodynamicTemperature) -> ThermalConductivity {
ThermalConductivity::new::<watt_per_meter_kelvin>(self.kappa_poly.value(t.get::<kelvin>()))
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::thermophysics::eos::PerfectGas;
use crate::thermophysics::thermo::HConstThermo;
use approx::assert_relative_eq;
use uom::si::available_energy::joule_per_kilogram;
use uom::si::dynamic_viscosity::pascal_second;
use uom::si::molar_mass::gram_per_mole;
use uom::si::pressure::pascal;
use uom::si::specific_heat_capacity::joule_per_kilogram_kelvin;
use uom::si::thermal_conductivity::watt_per_meter_kelvin;
use uom::si::thermodynamic_temperature::kelvin;
fn air_poly_transport() -> PolynomialTransport<HConstThermo<PerfectGas>, 2> {
let eos = PerfectGas::new(MolarMass::new::<gram_per_mole>(28.97));
let thermo = HConstThermo::new(
eos,
SpecificHeatCapacity::new::<joule_per_kilogram_kelvin>(1004.0),
AvailableEnergy::new::<joule_per_kilogram>(0.0),
ThermodynamicTemperature::new::<kelvin>(298.15),
AvailableEnergy::new::<joule_per_kilogram>(0.0),
);
PolynomialTransport::new(
thermo,
Polynomial::new([-6e-6_f64, 5e-8]),
Polynomial::new([-9e-3_f64, 7.5e-5]),
)
}
#[test]
fn mu_at_300k() {
let a = air_poly_transport();
let p = Pressure::new::<pascal>(101_325.0);
let t = ThermodynamicTemperature::new::<kelvin>(300.0);
let mu = a.mu(p, t).get::<pascal_second>();
assert_relative_eq!(mu, 9e-6, epsilon = 1e-12);
}
#[test]
fn kappa_at_300k() {
let a = air_poly_transport();
let p = Pressure::new::<pascal>(101_325.0);
let t = ThermodynamicTemperature::new::<kelvin>(300.0);
let kappa = a.kappa(p, t).get::<watt_per_meter_kelvin>();
assert_relative_eq!(kappa, 13.5e-3, epsilon = 1e-12);
}
#[test]
fn mu_increases_with_temperature() {
let a = air_poly_transport();
let p = Pressure::new::<pascal>(101_325.0);
let t1 = ThermodynamicTemperature::new::<kelvin>(300.0);
let t2 = ThermodynamicTemperature::new::<kelvin>(400.0);
assert!(
a.mu(p, t1).get::<pascal_second>() < a.mu(p, t2).get::<pascal_second>(),
"gas viscosity must increase with T"
);
}
#[test]
fn alpha_h_is_kappa_over_cp() {
let a = air_poly_transport();
let p = Pressure::new::<pascal>(101_325.0);
let t = ThermodynamicTemperature::new::<kelvin>(350.0);
let kappa = a.kappa(p, t).get::<watt_per_meter_kelvin>();
let cp = a.cp(p, t).get::<joule_per_kilogram_kelvin>();
let alpha_expected = kappa / cp;
use uom::si::dynamic_viscosity::pascal_second;
let alpha_actual = a.alpha_h(p, t).get::<pascal_second>();
assert_relative_eq!(alpha_actual, alpha_expected, epsilon = 1e-12);
}
}