This extension allows the algorithm to account for precursor-product relationships problems, which mandate that the degradation term of the precursor is equivalent to the production term of the product [ 28].
The problem is that for a single cell, the production term for the mRNA is proportional to the product of the single-copy transcription rate and the gene copy number c for that cell.
The resulting variance equation contains no spurious production term and differential diffusion is treated easily.
CFM-1 has the flame production term given by the average rate of strain proposed by Cant et al. [20], while CFM-2 has the production term proportional to the rms turbulent velocity.
Two forms of the flame production term, CFM-1 and CFM-2, are tested to show the predictive capability of the CFM for turbulent burning velocity.
Initially, the medium is assumed to be polluted as the linear combination of source concentration and zero order production term with distance.
In the near-wall region, also the production term and the transport term contribute to the budget in a significant manner.
However, the observed sulphate levels could only be simulated by including a production term related to pyrite oxidation of the shale.
The flame-surface production term is modeled using a parameterization of the effective flame stretch, obtained from a spectral superposition of earlier DNS results of single vortex-flame interactions [8].
Specifically, this class of models is designed so that it has the following properties: (I) Stimulation of the production term, which raises the steady state Rss, causes an overshoot and a rebound upon return to baseline.
The coefficient of the kinematic eddy viscosity, Cμ, is defined by a function of φ and the helicity H, and the coefficient of production term of turbulence energy dissipation rate in the conventional standard k−ε turbulence model, Cε1, is defined by a function of φ.
