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In addition, we study Brownian motion and thermophoresis effects using a spectral linearisation method to obtain numerical solutions of the momentum, energy, concentration and mass fraction equations.
The model was implemented in a commercial CFD code through several original User Defined Functions (UDFs) to reproduce the source terms in the continuity, energy and chemical species mass fraction equations.
The governing equations in conservative form are further derived to calculate the specific heats ratio and the molecular weight of the mixture with their new formulations and the continuity or mass fraction equations for the individual components.
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Entrainment and deposition of droplets are included as source term and boundary condition, respectively, in the mass fraction equation.
We use the formulation developed by Liñán and Williams [1] based on the combination of the mass fraction and energy conservation equations to eliminate the reaction terms, that are substituted by the mixture fraction Z and the excess-enthalpy H scalar conservations equations.
Typical multispecies compressible Navier Stokes computations employ conservative equations for mass fraction transport.
With the nucleation, surface growth, coagulation, and oxidation considered, sooting was modeled by solving the balance equations for mass fraction and number density.
For species transport equations: The local mass fraction of each species (Y i ) through the solution of a convection diffusion equation for the ith species is solved.
A methodology preventing such errors for weighted essentially non-oscillatory (WENO) schemes is presented, in which modified WENO weights are used to solve the transport equation for mass fraction in conservative form to prevent temperature and species conservation errors.
Although we did not explicitly quantify volatile C in saplings, volatile mass fraction in saplings (vmf, see Equation 2) was negligible (mean vmf = 0.000021 ± 0.00001, range = 0 0.0003, n = 24 species).
The second soot model involves transport equations for soot mass fraction and soot number density, which include finite rate source terms to account for soot nucleation, surface growth, agglomeration, and oxidation.
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