Dispersion_bulles_turbulente_Bazin.cpp

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//Clément Bazin. Numerical and experimental studies of two-phase flows interacting with a bundle of tubes. 2023.
 
#include <Dispersion_bulles_turbulente_Bazin.h>
#include <Pb_Multiphase.h>
#include <QDM_Multiphase.h>
#include <Frottement_interfacial_base.h>
#include <Masse_ajoutee_base.h>
#include <math.h>
 
Implemente_instanciable(Dispersion_bulles_turbulente_Bazin, "Dispersion_bulles_turbulente_Bazin", Dispersion_bulles_base);
 
Sortie& Dispersion_bulles_turbulente_Bazin::printOn(Sortie& os) const
{
  return os;
}
 
Entree& Dispersion_bulles_turbulente_Bazin::readOn(Entree& is)
{
  Param param(que_suis_je());
  param.lire_avec_accolades_depuis(is);
 
  n_l = find_liquid_phase();
 
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, pb_.valeur());
  if (pbm.has_correlation("frottement_interfacial")) correlation_drag_ = pbm.get_correlation("frottement_interfacial");
  else Correlation_base::typer_lire_correlation(correlation_drag_, pbm, "frottement_interfacial", is);
  if (pbm.has_correlation("masse_ajoutee")) correlation_masse_ajoutee_ = pbm.get_correlation("masse_ajoutee");
  else Correlation_base::typer_lire_correlation(correlation_masse_ajoutee_, pbm, "masse_ajoutee", is);
 
  return is;
}
 
void Dispersion_bulles_turbulente_Bazin::coefficient(const input_t& in, output_t& out) const
{
  const Frottement_interfacial_base& corr = ref_cast(Frottement_interfacial_base, correlation_drag_.valeur());
  const Masse_ajoutee_base& corrCam = ref_cast(Masse_ajoutee_base, correlation_masse_ajoutee_.valeur());
  int N = out.Ctd.dimension(0);
 
  DoubleTab coeff_drag(N, N);
  DoubleTab coeff_Cam(N); // a zero ?
  corrCam.coeff(in.alpha, in.rho, coeff_Cam) ;
  corr.coefficient_CD( in.alpha, in.p, in.T, in.rho, in.mu, in.sigma, in.dh, in.nv, in.d_bulles, coeff_drag);
  out.Ctd = 0;
 
  for (int k = 0; k < N; k++)
    if (k!=n_l)
      {
 
        double gamma = 0.5 * in.rho[n_l] / in.rho[k] ;
        double u_r = std::max(in.nv(k,n_l), 1e-4) ;
        double tau_t = 3. / 2. * in.nut[n_l] / in.k_turb[n_l] / std::max(std::sqrt (1. + 2.07 * u_r * u_r / std::max(in.k_turb[n_l],1e-5)),1e-5) ;
        double tau_f = ( 1. / (2. * gamma) + coeff_Cam(k) ) * 4./3. * in.d_bulles[k] / std::max( coeff_drag(k, n_l) * u_r ,1e-5) ;
        double eta_r = tau_t / tau_f ;
        double Dcrit = 4 * std::sqrt( in.sigma[n_l]/ g_ / std::abs(in.rho[n_l]-in.rho[k]) ) ;
        double alpha_limited =  std::max(((10. - 2. * eta_r) * gamma * gamma * gamma - (18. + 6. * eta_r) * gamma * gamma - (3. + 6. * eta_r) * gamma - (1.+ eta_r) *  2.) / ( (2. * gamma - 1.) * (2. * gamma - 1.) * ((4. + eta_r) *gamma + 1. + eta_r ) ), 0. ) ;
        if (Dcrit < in.d_bulles[k])
          {
            alpha_limited = std::max(((35. - 49. * eta_r) * gamma * gamma * gamma - (161. + 77. * eta_r) * gamma * gamma - (11. + 32. * eta_r) * gamma - (1.+ eta_r) *  4.) / ( (2. * gamma - 1.) * ((91. + 49. )* gamma * gamma + (-14. + 7. * eta_r) * gamma - 2 * (1. + eta_r) ) ), 0. ) ;
          }
        alpha_limited = std::min( in.alpha[k] , alpha_limited ) ;
        double Cam = ((1. + 2. * alpha_limited) * gamma + 1. - alpha_limited) / (2. * gamma * (1. - alpha_limited) + 2. + alpha_limited);
        double b = (1. + Cam) / (1. / (2. * gamma) + Cam);
 
        // Turbulent dispersion coefficient: added-mass, inertia, and kinetic energy contributions
        double one_plus_eta = 1. + eta_r;
        double drift_ratio = (b + eta_r) / one_plus_eta;
        double conc_factor = alpha_limited / std::max(1. - alpha_limited, 1e-5);
        double mixing = drift_ratio + conc_factor;
 
        double term_added_mass = Cam * (b * (b - 1.) / one_plus_eta + eta_r * mixing);
        double term_inertia = 1. / (2. * gamma) * ((b * b + eta_r) / one_plus_eta + eta_r * (drift_ratio + alpha_limited / std::max(1. - alpha_limited, 1e-3)));
        double term_kinetic = mixing * in.rho[n_l] * 2. / 3. * in.k_turb[n_l];
 
        out.Ctd(k, n_l) = term_added_mass + term_inertia - term_kinetic;
      }
}