Sentence examples for both the progress variable from inspiring English sources

It is found that both the progress variable conditioned and spatially integrated contributions of the dominant reactions remain qualitatively similar between a highly turbulent and a laminar unstretched flame.

The β probability density function (PDF) for the mixture fraction and Dirac δ PDF for both the pressure and the progress variable are used.

Although the agreement with experimental results is fair enough to recommend the use of such a modeling for systems of practical interest, some improvements have to be brought in the modeling of the correlations between the pressure fluctuations and the gradients of both the velocity and the progress variable fluctuations.

The progress variable is carefully defined, including both the main combustion product (H2O) and a key radical species in ignition process (HO2).

Results are obtained for several quantities of interest, including the gradient magnitude of the progress variable (|∇c|) and the displacement speed (Sd) of each progress variable isosurface.

Compared to the progress variable, the mixing rates of intermediate species is found to be several times greater.

It is shown that if partially premixed combustion is described in terms of a mixture fraction and a progress variable, scalar dissipation terms appear in the transport equation for the progress variable.

The marker field is used to provide a mapping for the progress variable of the flame reaction.

The two model components are coupled by a function of the progress variable deduced from DNS results.

The progress variable is observed to undergo a transition from lamella-like to non-flamelet front structure with increasing turbulence.

This relation involves the conditional filtered average of the magnitude of the gradient of the progress variable.