27 #ifndef OPM_SIMPLE_HU_DUAN_H2O_HPP
28 #define OPM_SIMPLE_HU_DUAN_H2O_HPP
40 #include <opm/common/OpmLog/OpmLog.hpp>
68 template <
class Scalar>
143 template <
class Evaluation>
151 static constexpr Scalar n[10] = {
152 0.11670521452767e4, -0.72421316703206e6, -0.17073846940092e2,
153 0.12020824702470e5, -0.32325550322333e7, 0.14915108613530e2,
154 -0.48232657361591e4, 0.40511340542057e6, -0.23855557567849,
158 Evaluation sigma = T + n[8]/(T - n[9]);
160 Evaluation A = (sigma + n[0])*sigma + n[1];
161 Evaluation B = (n[2]*sigma + n[3])*sigma + n[4];
162 Evaluation C = (n[5]*sigma + n[6])*sigma + n[7];
164 Evaluation tmp = 2.0*C/(sqrt(B*B - 4.0*A*C) - B);
177 template <
class Evaluation>
180 {
return 1.976e3*temperature + 40.65e3/
molarMass(); }
186 template <
class Evaluation>
197 template <
class Evaluation>
200 {
return 4180*temperature; }
205 template <
class Evaluation>
223 template <
class Evaluation>
225 const Evaluation& pressure)
239 template <
class Evaluation>
241 const Evaluation& pressure)
254 template <
class Evaluation>
267 template <
class Evaluation>
280 template <
class Evaluation>
281 static Evaluation
gasDensity(
const Evaluation& temperature,
const Evaluation& pressure)
293 template <
class Evaluation>
294 static Evaluation
gasPressure(
const Evaluation& temperature,
const Evaluation& density)
308 template <
class Evaluation>
309 static Evaluation
liquidDensity(
const Evaluation& temperature,
const Evaluation& pressure,
312 return liquidDensity_(temperature, pressure, extrapolate);
321 template <
class Evaluation>
324 throw std::logic_error(
"The liquid pressure is undefined for incompressible fluids");
334 template <
class Evaluation>
349 template <
class Evaluation>
350 static Evaluation
liquidViscosity(
const Evaluation& temperature,
const Evaluation& pressure,
353 if (temperature > 570) {
354 std::ostringstream oss;
355 oss <<
"Viscosity of water based on Hu et al is too different from IAPWS for T above 570K and "
356 <<
"(T = " << temperature <<
")";
360 OpmLog::warning(oss.str());
362 std::cerr <<
"warning: "<< oss.str() <<std::endl;
369 const Evaluation rho =
liquidDensity(temperature, pressure, extrapolate);
383 template <
class Evaluation>
384 static Evaluation liquidDensity_(
const Evaluation& T,
const Evaluation& pressure,
bool extrapolate) {
388 if (T > 647 || pressure > 100e6) {
389 std::ostringstream oss;
390 oss <<
"Density of water is only implemented for temperatures below 647K and "
391 <<
"pressures below 100MPa. (T = " << T <<
", p=" << pressure;
395 OpmLog::warning(oss.str());
397 std::cerr <<
"warning: "<< oss.str() <<std::endl;
401 throw NumericalIssue(oss.str());
404 Evaluation p = pressure / 1e6;
407 static constexpr Scalar k0[5] = { 3.27225e-07, -4.20950e-04, 2.32594e-01, -4.16920e+01, 5.71292e+03 };
408 static constexpr Scalar k1[5] = { -2.32306e-10, 2.91138e-07, -1.49662e-04, 3.59860e-02, -3.55071 };
409 static constexpr Scalar k2[3] = { 2.57241e-14, -1.24336e-11, 5.42707e-07 };
410 static constexpr Scalar k3[3] = { -4.42028e-18, 2.10007e-15, -8.11491e-11 };
411 Evaluation k0_eval = 1e-3 * (((k0[0]*T + k0[1])*T + k0[2])*T + k0[3] + k0[4]/T);
412 Evaluation k1_eval = 1e-2 * (((k1[0]*T + k1[1])*T + k1[2])*T + k1[3] + k1[4]/T);
413 Evaluation k2_eval = 1e-1 * ((k2[0]*T + k2[1])*T*T + k2[2]);
414 Evaluation k3_eval = (k3[0]*T + k3[1])*T*T + k3[2];
417 Evaluation vw = ((k3_eval*p + k2_eval)*p + k1_eval)*p + k0_eval;
Implements relations which are common for all regions of the IAPWS '97 formulation.
Abstract base class of a pure chemical species.
Provides the opm-material specific exception classes.
Relations valid for an ideal gas.
Abstract base class of a pure chemical species.
Definition: Component.hpp:42
A central place for various physical constants occuring in some equations.
Definition: Constants.hpp:41
Implements relations which are common for all regions of the IAPWS '97 formulation.
Definition: Common.hpp:55
static Evaluation viscosity(const Evaluation &temperature, const Evaluation &rho)
The dynamic viscosity of pure water.
Definition: Common.hpp:102
Relations valid for an ideal gas.
Definition: IdealGas.hpp:38
static const Scalar R
The ideal gas constant .
Definition: IdealGas.hpp:41
static Evaluation pressure(const Evaluation &temperature, const Evaluation &rhoMolar)
The pressure of the gas in , depending on the molar density and temperature.
Definition: IdealGas.hpp:58
static Evaluation molarDensity(const Evaluation &temperature, const Evaluation &pressure)
The molar density of the gas , depending on pressure and temperature.
Definition: IdealGas.hpp:67
Definition: Exceptions.hpp:46
A simple version of pure water with density from Hu et al.
Definition: SimpleHuDuanH2O.hpp:70
static Evaluation gasThermalConductivity(const Evaluation &, const Evaluation &)
Specific heat conductivity of steam .
Definition: SimpleHuDuanH2O.hpp:268
static Scalar tripleTemperature()
Returns the temperature at water's triple point.
Definition: SimpleHuDuanH2O.hpp:122
static Evaluation gasDensity(const Evaluation &temperature, const Evaluation &pressure)
The density of steam at a given pressure and temperature.
Definition: SimpleHuDuanH2O.hpp:281
static Evaluation gasPressure(const Evaluation &temperature, const Evaluation &density)
The pressure of steam in at a given density and temperature.
Definition: SimpleHuDuanH2O.hpp:294
static Evaluation vaporPressure(const Evaluation &T)
The vapor pressure in of pure water at a given temperature.
Definition: SimpleHuDuanH2O.hpp:144
static Evaluation liquidHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a liquid.
Definition: SimpleHuDuanH2O.hpp:206
static Evaluation liquidEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of liquid water .
Definition: SimpleHuDuanH2O.hpp:198
static Evaluation liquidViscosity(const Evaluation &temperature, const Evaluation &pressure, bool extrapolate)
The dynamic viscosity of pure water.
Definition: SimpleHuDuanH2O.hpp:350
static Scalar criticalPressure()
Returns the critical pressure of water.
Definition: SimpleHuDuanH2O.hpp:116
static Evaluation liquidDensity(const Evaluation &temperature, const Evaluation &pressure, bool extrapolate)
The density of pure water at a given pressure and temperature .
Definition: SimpleHuDuanH2O.hpp:309
static Evaluation liquidPressure(const Evaluation &, const Evaluation &)
The pressure of water in at a given density and temperature.
Definition: SimpleHuDuanH2O.hpp:322
static bool gasIsIdeal()
Returns true iff the gas phase is assumed to be ideal.
Definition: SimpleHuDuanH2O.hpp:98
static const char * name()
A human readable name for the water.
Definition: SimpleHuDuanH2O.hpp:80
static Evaluation liquidThermalConductivity(const Evaluation &, const Evaluation &)
Specific heat conductivity of liquid water .
Definition: SimpleHuDuanH2O.hpp:255
static bool gasIsCompressible()
Returns true iff the gas phase is assumed to be compressible.
Definition: SimpleHuDuanH2O.hpp:86
static Scalar criticalTemperature()
Returns the critical temperature of water.
Definition: SimpleHuDuanH2O.hpp:110
static bool liquidIsCompressible()
Returns true iff the liquid phase is assumed to be compressible.
Definition: SimpleHuDuanH2O.hpp:92
static Evaluation liquidInternalEnergy(const Evaluation &temperature, const Evaluation &pressure)
Specific internal energy of liquid water .
Definition: SimpleHuDuanH2O.hpp:240
static Scalar molarMass()
The molar mass in of water.
Definition: SimpleHuDuanH2O.hpp:104
static Evaluation gasViscosity(const Evaluation &, const Evaluation &)
The dynamic viscosity of steam.
Definition: SimpleHuDuanH2O.hpp:335
static Evaluation gasEnthalpy(const Evaluation &temperature, const Evaluation &)
Specific enthalpy of water steam .
Definition: SimpleHuDuanH2O.hpp:178
static Evaluation gasInternalEnergy(const Evaluation &temperature, const Evaluation &pressure)
Specific internal energy of steam .
Definition: SimpleHuDuanH2O.hpp:224
static Evaluation gasHeatCapacity(const Evaluation &, const Evaluation &)
Specific isobaric heat capacity of the component [J/kg] as a gas.
Definition: SimpleHuDuanH2O.hpp:187
static Scalar triplePressure()
Returns the pressure at water's triple point.
Definition: SimpleHuDuanH2O.hpp:128