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SimpleCO2.hpp
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30 #ifndef OPM_SIMPLE_CO2_HPP
31 #define OPM_SIMPLE_CO2_HPP
32 
35 
37 
38 #include <cmath>
39 
40 namespace Opm {
41 
49 template <class Scalar>
50 class SimpleCO2 : public Component<Scalar, SimpleCO2<Scalar> >
51 {
52  typedef ::Opm::IdealGas<Scalar> IdealGas;
53 
54 public:
58  static const char* name()
59  { return "CO2"; }
60 
64  static Scalar molarMass()
65  { return 44e-3; }
66 
70  static Scalar criticalTemperature()
71  { return 273.15 + 30.95; /* [K] */ }
72 
76  static Scalar criticalPressure()
77  { return 73.8e5; /* [N/m^2] */ }
78 
82  static Scalar tripleTemperature()
83  { return 273.15 - 56.35; /* [K] */ }
84 
88  static Scalar triplePressure()
89  { return 5.11e5; /* [N/m^2] */ }
90 
94  static bool gasIsCompressible()
95  { return true; }
96 
100  static bool gasIsIdeal()
101  { return true; }
102 
106  template <class Evaluation>
107  static Evaluation gasEnthalpy(const Evaluation& temperature,
108  const Evaluation&)
109  { return 350.0e3 + temperature*0.85e3; }
110 
114  template <class Evaluation>
115  static Evaluation gasHeatCapacity(const Evaluation&,
116  const Evaluation&)
117  { return 0.85e3; }
118 
122  template <class Evaluation>
123  static Evaluation liquidEnthalpy(const Evaluation& temperature,
124  const Evaluation&)
125  { return temperature*2e3; }
126 
130  template <class Evaluation>
131  static Evaluation liquidHeatCapacity(const Evaluation&,
132  const Evaluation&)
133  { return 2e3; /* TODO: UNKNOWN! */ }
134 
138  template <class Evaluation>
139  static Evaluation gasInternalEnergy(const Evaluation& temperature,
140  const Evaluation& pressure)
141  {
142  return
143  gasEnthalpy(temperature, pressure) -
144  1/molarMass()* // conversion from [J/(mol K)] to [J/(kg K)]
145  IdealGas::R*temperature; // = pressure * spec. volume for an ideal gas
146  }
147 
151  template <class Evaluation>
152  static Evaluation gasDensity(const Evaluation& temperature, const Evaluation& pressure)
153  {
154  // Assume an ideal gas
155  return IdealGas::density(Evaluation(molarMass()), temperature, pressure);
156  }
157 
166  template <class Evaluation>
167  static Evaluation gasViscosity(const Evaluation& temperature, const Evaluation& /*pressure*/)
168  {
169  const Scalar Tc = criticalTemperature();
170  const Scalar Vc = 93.9; // critical specific volume [cm^3/mol]
171  const Scalar omega = 0.239; // accentric factor
172  const Scalar M = molarMass() * 1e3; // molar mas [g/mol]
173  const Scalar dipole = 0.0; // dipole moment [debye]
174 
175  Scalar mu_r4 = 131.3 * dipole / std::sqrt(Vc * Tc);
176  mu_r4 *= mu_r4;
177  mu_r4 *= mu_r4;
178 
179  Scalar Fc = 1 - 0.2756*omega + 0.059035*mu_r4;
180  Evaluation Tstar = 1.2593 * temperature/Tc;
181  Evaluation Omega_v =
182  1.16145*pow(Tstar, -0.14874) +
183  0.52487*exp(- 0.77320*Tstar) +
184  2.16178*exp(- 2.43787*Tstar);
185  Evaluation mu = 40.785*Fc*sqrt(M*temperature)/(std::pow(Vc, 2./3)*Omega_v);
186 
187  // convertion from micro poise to Pa s
188  return mu/1e6 / 10;
189  }
190 };
191 
192 } // namespace Opm
193 
194 #endif
Abstract base class of a pure chemical species.
Relations valid for an ideal gas.
A number of commonly used algebraic functions for the localized OPM automatic differentiation (AD) fr...
Abstract base class of a pure chemical species.
Definition: Component.hpp:42
Relations valid for an ideal gas.
Definition: IdealGas.hpp:38
static const Scalar R
The ideal gas constant .
Definition: IdealGas.hpp:41
static Evaluation density(const Evaluation &avgMolarMass, const Evaluation &temperature, const Evaluation &pressure)
The density of the gas in , depending on pressure, temperature and average molar mass of the gas.
Definition: IdealGas.hpp:48
A simplistic class representing the fluid properties.
Definition: SimpleCO2.hpp:51
static Evaluation liquidHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a liquid.
Definition: SimpleCO2.hpp:131
static Evaluation gasHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a gas.
Definition: SimpleCO2.hpp:115
static const char * name()
A human readable name for the component.
Definition: SimpleCO2.hpp:58
static Scalar criticalTemperature()
Returns the critical temperature of .
Definition: SimpleCO2.hpp:70
static Scalar triplePressure()
Returns the pressure at the triple point of .
Definition: SimpleCO2.hpp:88
static Evaluation liquidEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of the pure component in liquid.
Definition: SimpleCO2.hpp:123
static bool gasIsCompressible()
Returns true iff the gas phase is assumed to be compressible.
Definition: SimpleCO2.hpp:94
static bool gasIsIdeal()
Returns true iff the gas phase is assumed to be ideal.
Definition: SimpleCO2.hpp:100
static Scalar tripleTemperature()
Returns the temperature at the triple point of .
Definition: SimpleCO2.hpp:82
static Scalar criticalPressure()
Returns the critical pressure of .
Definition: SimpleCO2.hpp:76
static Evaluation gasViscosity(const Evaluation &temperature, const Evaluation &)
The dynamic viscosity of the pure component at a given pressure in and temperature in .
Definition: SimpleCO2.hpp:167
static Evaluation gasEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of the pure component in gas.
Definition: SimpleCO2.hpp:107
static Evaluation gasInternalEnergy(const Evaluation &temperature, const Evaluation &pressure)
Specific internal energy of the pure component in gas.
Definition: SimpleCO2.hpp:139
static Evaluation gasDensity(const Evaluation &temperature, const Evaluation &pressure)
The density in of the component at a given pressure in and temperature in .
Definition: SimpleCO2.hpp:152
static Scalar molarMass()
The molar mass in of the component.
Definition: SimpleCO2.hpp:64