equilibriumFlameT.C

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    Copyright (C) 2011-2017 OpenFOAM Foundation
    Copyright (C) 2021 OpenCFD Ltd.
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License
    This file is part of OpenFOAM.
 
    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
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    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    for more details.
 
    You should have received a copy of the GNU General Public License
    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Application
    equilibriumFlameT
 
Group
    grpThermophysicalUtilities
 
Description
    Calculate the equilibrium flame temperature for a given fuel and
    pressure for a range of unburnt gas temperatures and equivalence
    ratios. Includes the effects of dissociation on O2, H2O and CO2.
 
\*---------------------------------------------------------------------------*/
 
#include "argList.H"
#include "Time.H"
#include "dictionary.H"
#include "IFstream.H"
#include "OSspecific.H"
#include "etcFiles.H"
#include "IOmanip.H"
 
#include "specie.H"
#include "perfectGas.H"
#include "thermo.H"
#include "janafThermo.H"
#include "absoluteEnthalpy.H"
 
using namespace Foam;
 
typedef species::thermo<janafThermo<perfectGas<specie>>, absoluteEnthalpy>
    thermo;
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
int main(int argc, char *argv[])
{
    argList::addNote
    (
        "Calculate the equilibrium flame temperature for a given fuel and"
        " pressure for a range of unburnt gas temperatures and equivalence"
        " ratios.\n"
        "Includes the effects of dissociation on O2, H2O and CO2."
    );
 
    argList::noParallel();
    argList::noFunctionObjects();  // Never use function objects
    argList::addArgument("controlFile");
 
    argList args(argc, argv);
 
    const auto controlFileName = args.get<fileName>(1);
 
    // Construct control dictionary
    IFstream controlFile(controlFileName);
 
    // Check controlFile stream is OK
    if (!controlFile.good())
    {
        FatalErrorInFunction
            << "Cannot read file " << controlFileName
            << abort(FatalError);
    }
 
    dictionary control(controlFile);
 
 
    const scalar P(control.get<scalar>("P"));
    const word fuelName(control.get<word>("fuel"));
    const scalar n(control.get<scalar>("n"));
    const scalar m(control.get<scalar>("m"));
 
 
    Info<< nl << "Reading thermodynamic data dictionary" << endl;
 
    fileName thermoDataFileName(findEtcFile("thermoData/thermoData"));
 
    // Construct control dictionary
    IFstream thermoDataFile(thermoDataFileName);
 
    // Check thermoData stream is OK
    if (!thermoDataFile.good())
    {
        FatalErrorInFunction
            << "Cannot read file " << thermoDataFileName
            << abort(FatalError);
    }
 
    dictionary thermoData(thermoDataFile);
 
 
    Info<< nl << "Reading thermodynamic data for relevant species"
        << nl << endl;
 
    // Reactants (mole-based)
    thermo FUEL(thermoData.subDict(fuelName)); FUEL *= FUEL.W();
 
    // Oxidant (mole-based)
    thermo O2(thermoData.subDict("O2")); O2 *= O2.W();
    thermo N2(thermoData.subDict("N2")); N2 *= N2.W();
 
    // Intermediates (mole-based)
    thermo H2(thermoData.subDict("H2")); H2 *= H2.W();
 
    // Products (mole-based)
    thermo CO2(thermoData.subDict("CO2")); CO2 *= CO2.W();
    thermo H2O(thermoData.subDict("H2O")); H2O *= H2O.W();
    thermo CO(thermoData.subDict("CO")); CO *= CO.W();
 
 
    // Product dissociation reactions
 
    thermo CO2BreakUp
    (
        CO2 == CO + 0.5*O2
    );
 
    thermo H2OBreakUp
    (
        H2O == H2 + 0.5*O2
    );
 
 
    // Stoiciometric number of moles of species for one mole of fuel
    scalar stoicO2 = n + m/4.0;
    scalar stoicN2 = (0.79/0.21)*(n + m/4.0);
    scalar stoicCO2 = n;
    scalar stoicH2O = m/2.0;
 
    // Oxidant
    thermo oxidant
    (
        "oxidant",
        stoicO2*O2
      + stoicN2*N2
    );
 
    dimensionedScalar stoichiometricAirFuelMassRatio
    (
        "stoichiometricAirFuelMassRatio",
        dimless,
        oxidant.Y()/FUEL.W()
    );
 
    Info<< "stoichiometricAirFuelMassRatio "
        << stoichiometricAirFuelMassRatio << ';' << endl;
 
    Info<< "Equilibrium flame temperature data ("
        << P/1e5 << " bar)" << nl << nl
        << setw(3) << "Phi"
        << setw(12) << "ft"
        << setw(7) << "T0"
        << setw(12) << "Tad"
        << setw(12) << "Teq"
        << setw(12) << "Terror"
        << setw(20) << "O2res (mole frac)" << nl
        << endl;
 
 
    // Loop over equivalence ratios
    for (int i=0; i<16; i++)
    {
        scalar equiv = 0.6 + i*0.05;
        scalar ft = 1/(1 + stoichiometricAirFuelMassRatio.value()/equiv);
 
    // Loop over initial temperatures
    for (int j=0; j<28; j++)
    {
        scalar T0 = 300.0 + j*100.0;
 
        // Number of moles of species for one mole of fuel
        scalar o2 = (1.0/equiv)*stoicO2;
        scalar n2 = (0.79/0.21)*o2;
        scalar fres = max(1.0 - 1.0/equiv, 0.0);
        scalar fburnt = 1.0 - fres;
 
        // Initial guess for number of moles of product species
        // ignoring product dissociation
        scalar oresInit = max(1.0/equiv - 1.0, 0.0)*stoicO2;
        scalar co2Init = fburnt*stoicCO2;
        scalar h2oInit = fburnt*stoicH2O;
 
        scalar ores = oresInit;
        scalar co2 = co2Init;
        scalar h2o = h2oInit;
 
        scalar co = 0.0;
        scalar h2 = 0.0;
 
        // Total number of moles in system
        scalar N = fres + n2 + co2 + h2o + ores;
 
 
        // Initial guess for adiabatic flame temperature
        scalar adiabaticFlameTemperature =
            T0
          + (fburnt/(1.0 + o2 + n2))/(1.0/(1.0 + (1.0 + 0.79/0.21)*stoicO2))
           *2000.0;
 
        scalar equilibriumFlameTemperature = adiabaticFlameTemperature;
 
 
        // Iteration loop for adiabatic flame temperature
        for (int j=0; j<20; j++)
        {
            if (j > 0)
            {
                co = co2*
                    min
                    (
                        CO2BreakUp.Kn(P, equilibriumFlameTemperature, N)
                       /::sqrt(max(ores, 0.001)),
                        1.0
                    );
 
                h2 = h2o*
                    min
                    (
                        H2OBreakUp.Kn(P, equilibriumFlameTemperature, N)
                       /::sqrt(max(ores, 0.001)),
                        1.0
                    );
 
                co2 = co2Init - co;
                h2o = h2oInit - h2;
                ores = oresInit + 0.5*co + 0.5*h2;
            }
 
            thermo reactants
            (
                FUEL + o2*O2 + n2*N2
            );
 
            thermo products
            (
                fres*FUEL + ores*O2 + n2*N2
              + co2*CO2 + h2o*H2O + co*CO + h2*H2
            );
 
 
            scalar equilibriumFlameTemperatureNew =
                products.THa(reactants.Ha(P, T0), P, adiabaticFlameTemperature);
 
            if (j==0)
            {
                adiabaticFlameTemperature = equilibriumFlameTemperatureNew;
            }
            else
            {
                equilibriumFlameTemperature = 0.5*
                (
                    equilibriumFlameTemperature
                  + equilibriumFlameTemperatureNew
                );
            }
        }
 
        Info<< setw(3) << equiv
            << setw(12) << ft
            << setw(7) << T0
            << setw(12) << adiabaticFlameTemperature
            << setw(12) << equilibriumFlameTemperature
            << setw(12)
            << adiabaticFlameTemperature - equilibriumFlameTemperature
            << setw(12) << ores/N
            << endl;
    }
    }
 
    Info<< nl << "End" << nl << endl;
 
    return 0;
}
 
 
// ************************************************************************* //