15#include <dune/common/math.hh> 
   29template <
class Scalar>
 
  144        const Scalar Vc = 84.525138; 
 
  145        const Scalar omega = 0.078; 
 
  148        const Scalar Fc = 1.0 - 0.2756*omega;
 
  149        const Scalar Tstar = 1.2593*temperature/Tc;
 
  153        const Scalar Omega_v = 1.16145*pow(Tstar, -0.14874)
 
  154                               + 0.52487*exp(-0.77320*Tstar)
 
  155                               + 2.16178*exp(-2.43787*Tstar);
 
  159        const Scalar mu = 40.785 * Fc * sqrt(M * temperature)/(cbrt(Vc * Vc) * Omega_v);
 
  162        return mu/1.0e6/10.0;
 
 
  183        const Scalar tempCelsius = temperature - 273.15;
 
  184        const Scalar pressureCorrectionFactor = 9.7115e-9*tempCelsius*tempCelsius - 5.5e-6*tempCelsius + 0.0010809;
 
  187        const Scalar mu = 1.496e-6 * sqrt(temperature * temperature * temperature) / (temperature + 120.0)
 
  188                          * (1.0 + (pressure/1.0e5 - 1.0)*pressureCorrectionFactor);
 
 
  208        return 1.496e-6 * sqrt(temperature * temperature * temperature) / (temperature + 120.0);
 
 
  224        const Scalar epsk = 103.3; 
 
  229        const Scalar logTstar = log(temperature/epsk);
 
  230        const Scalar Omega = exp(0.431
 
  232                                 + 0.08406*logTstar*logTstar
 
  233                                 + 0.005341*logTstar*logTstar*logTstar
 
  234                                 - 0.00331*logTstar*logTstar*logTstar*logTstar);
 
  236        const Scalar sigma = 0.36; 
 
  237        const Scalar eta0 = 0.0266958*sqrt(1000.0*
molarMass()*temperature)/(sigma*sigma*Omega);
 
  242        const Scalar rhoc = 10.4477; 
 
  243        const Scalar delta = 0.001*pressure/(temperature*8.3144598)/rhoc;
 
  244        const Scalar etaR = 10.72 * pow(tau, 0.2) * delta
 
  245                            + 1.122 * pow(tau, 0.05) * power(delta, 4)
 
  246                            + 0.002019 * pow(tau, 2.4) * power(delta, 9)
 
  247                            - 8.876 * pow(tau, 0.6) * delta * exp(-delta)
 
  248                            - 0.02916 * pow(tau, 3.6) * power(delta, 8) * exp(-delta);
 
  250        return (eta0 + etaR)*1e-6;
 
 
  303        Scalar phi = temperature/100;
 
  309                +0.201650E+00 * power(phi,2)
 
  310                -0.196930E-01 * power(phi,3)
 
  311                +0.106460E-02 * power(phi,4)
 
  312                -0.303284E-04 * power(phi,5)
 
  313                +0.355861E-06 * power(phi,6);
 
  314        c_p +=  -0.549169E+01 * power(phi,-1)
 
  315                +0.585171E+01 * power(phi,-2)
 
  316                -0.372865E+01 * power(phi,-3)
 
  317                +0.133981E+01 * power(phi,-4)
 
  318                -0.233758E+00 * power(phi,-5)
 
  319                +0.125718E-01 * power(phi,-6);
 
 
 
 
A class for the air fluid properties.
Definition air.hh:33
static Scalar exactGasViscosity(Scalar temperature, Scalar pressure)
The dynamic viscosity  of Air at a given pressure and temperature.
Definition air.hh:222
static Scalar gasDensity(Scalar temperature, Scalar pressure)
The density  of Air at a given pressure and temperature.
Definition air.hh:71
static constexpr Scalar molarMass()
The molar mass in  of Air.
Definition air.hh:48
static const Scalar gasHeatCapacity(Scalar temperature, Scalar pressure)
Specific isobaric heat capacity  of pure air.
Definition air.hh:299
static Scalar criticalPressure()
Returns the critical pressure  of Air.
Definition air.hh:60
static Scalar gasViscosity(Scalar temperature, Scalar pressure)
The dynamic viscosity  of Air at a given pressure and temperature.
Definition air.hh:179
static constexpr bool gasIsCompressible()
Returns true, the gas phase is assumed to be compressible.
Definition air.hh:89
static Scalar gasThermalConductivity(Scalar temperature, Scalar pressure)
Thermal conductivity  of air.
Definition air.hh:337
static constexpr bool gasViscosityIsConstant()
Returns true if the gas phase viscosity is constant.
Definition air.hh:101
static constexpr bool gasIsIdeal()
Returns true, the gas phase is assumed to be ideal.
Definition air.hh:95
static Scalar simpleGasViscosity(Scalar temperature, Scalar pressure)
The dynamic viscosity  of Air at a given pressure and temperature.
Definition air.hh:203
static Scalar gasEnthalpy(Scalar temperature, Scalar pressure)
Specific enthalpy of Air  with 273.15  as basis.
Definition air.hh:262
static Scalar criticalTemperature()
Returns the critical temperature  of Air.
Definition air.hh:54
static Scalar oldGasViscosity(Scalar temperature, Scalar pressure)
The dynamic viscosity  of Air at a given pressure and temperature.
Definition air.hh:141
static const Scalar gasInternalEnergy(Scalar temperature, Scalar pressure)
Specific internal energy of Air .
Definition air.hh:278
static std::string name()
A human readable name for Air.
Definition air.hh:40
static Scalar gasPressure(Scalar temperature, Scalar density)
The pressure  of gaseous Air at a given density and temperature.
Definition air.hh:112
static Scalar gasMolarDensity(Scalar temperature, Scalar pressure)
The molar density of air in , depending on pressure and temperature.
Definition air.hh:83
Base class for all components Components provide the thermodynamic relations for the liquid,...
Definition components/base.hh:46
Scalar Scalar
Definition components/base.hh:50
Interface for components that have a gas state.
Definition gas.hh:28
Relations valid for an ideal gas.
Definition idealgas.hh:25
static constexpr Scalar pressure(Scalar temperature, Scalar rhoMolar)
The pressure of the gas in , depending on the molar density and temperature.
Definition idealgas.hh:48
static constexpr Scalar R
The ideal gas constant .
Definition idealgas.hh:28
static constexpr Scalar density(Scalar avgMolarMass, Scalar temperature, Scalar pressure)
The density of the gas in , depending on pressure, temperature and average molar mass of the gas.
Definition idealgas.hh:37
static constexpr Scalar molarDensity(Scalar temperature, Scalar pressure)
The molar density of the gas , depending on pressure and temperature.
Definition idealgas.hh:58
Base class for all components Components provide the thermodynamic relations for the liquid,...
Some exceptions thrown in DuMux
Interface for components that have a gas state.
Relations valid for an ideal gas.