[Transport] Add temperature dependence of rotational relaxation
Results in increase in mixture-averaged thermal conductivity of ~1% or less, and a similar increase in laminar flame speeds, at least for some test cases.
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4 changed files with 29 additions and 13 deletions
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@ -18,6 +18,14 @@ class MMCollisionInt;
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//! Class GasTransport implements some functions and properties that are
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//! shared by the MixTransport and MultiTransport classes.
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//!
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//! ### References
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//!
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//! * [Kee2003] R. J. Kee, M. E. Coltrin, and P. Glarborg. Chemically Reacting
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//! Flow: Theory and Practice. 1st Ed. John Wiley and Sons, 2003.
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//! * [Kee2017] R. J. Kee, M. E. Coltrin, P. Glarborg, and H. Zhu. Chemically
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//! Reacting Flow: Theory and Practice. 2nd Ed. John Wiley and Sons, 2017.
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//!
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//! @ingroup tranprops
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class GasTransport : public Transport
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{
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@ -951,4 +951,4 @@ class TestIonFlame(utilities.CanteraTest):
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self.sim.solve(loglevel=0, stage=2, enable_energy=True)
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# Regression test
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self.assertNear(max(self.sim.E), 131.9956, 1e-3)
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self.assertNear(max(self.sim.E), 132.1922, 1e-3)
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@ -537,13 +537,19 @@ void GasTransport::fitProperties(MMCollisionInt& integrals)
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double T_save = m_thermo->temperature();
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const vector_fp& mw = m_thermo->molecularWeights();
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for (size_t k = 0; k < m_nsp; k++) {
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double tstar = Boltzmann * 298.0 / m_eps[k];
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// Scaling factor for temperature dependence of z_rot. [Kee2003] Eq.
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// 12.112 or [Kee2017] Eq. 11.115
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double fz_298 = 1.0 + pow(Pi, 1.5) / sqrt(tstar) * (0.5 + 1.0 / tstar) +
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(0.25 * Pi * Pi + 2) / tstar;
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for (size_t n = 0; n < np; n++) {
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double t = m_thermo->minTemp() + dt*n;
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m_thermo->setTemperature(t);
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vector_fp cp_R_all(m_thermo->nSpecies());
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m_thermo->getCp_R_ref(&cp_R_all[0]);
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double cp_R = cp_R_all[k];
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double tstar = Boltzmann * t/ m_eps[k];
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tstar = Boltzmann * t / m_eps[k];
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double sqrt_T = sqrt(t);
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double om22 = integrals.omega22(tstar, m_delta(k,k));
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double om11 = integrals.omega11(tstar, m_delta(k,k));
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@ -561,7 +567,9 @@ void GasTransport::fitProperties(MMCollisionInt& integrals)
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double f_int = mw[k]/(GasConstant * t) * diffcoeff/visc;
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double cv_rot = m_crot[k];
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double A_factor = 2.5 - f_int;
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double B_factor = m_zrot[k] + 2.0/Pi * (5.0/3.0 * cv_rot + f_int);
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double fz_tstar = 1.0 + pow(Pi, 1.5) / sqrt(tstar) * (0.5 + 1.0 / tstar) +
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(0.25 * Pi * Pi + 2) / tstar;
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double B_factor = m_zrot[k] * fz_298 / fz_tstar + 2.0/Pi * (5.0/3.0 * cv_rot + f_int);
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double c1 = 2.0/Pi * A_factor/B_factor;
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double cv_int = cp_R - 2.5 - cv_rot;
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double f_rot = f_int * (1.0 + c1);
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@ -161,16 +161,16 @@
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CH2CHO 0
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CH3CHO 0
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Viscosity and thermal Cond vs. T
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400 1.976e-05 0.0641
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500 2.357e-05 0.07635
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600 2.714e-05 0.08832
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700 3.049e-05 0.1002
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800 3.368e-05 0.112
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900 3.673e-05 0.1237
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1000 3.966e-05 0.1355
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1100 4.247e-05 0.1471
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1200 4.52e-05 0.1586
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1300 4.784e-05 0.1701
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400 1.976e-05 0.06427
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500 2.357e-05 0.07668
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600 2.714e-05 0.0888
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700 3.049e-05 0.1008
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800 3.368e-05 0.1128
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900 3.673e-05 0.1247
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1000 3.966e-05 0.1365
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1100 4.247e-05 0.1483
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1200 4.52e-05 0.1599
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1300 4.784e-05 0.1715
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Binary Diffusion Coefficients H2 vs species
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H2 - H2 0.001688 0.001688
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H2 - H 0.002572 0.002572
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