A generalised spray-flamelet formulation by means of a monotonic variable

The external structure of the spray-flamelet can be described using Schvab–Zel'dovich–Liñan formulation. gaseous mixture-fraction variable as function physical space, Z(xi), typically employed for description diffusion flames leads to non-monotonicity behaviour spray due extra fuel supplied by vaporisation droplets distributed into flow. As a result, overall properties depend not only on Z and scalar dissipation rate, χ, but also source term, Sv. We propose new general coordinate which takes account spatial information about entire mixture fraction phase droplet vaporisation. This ZC(xi) is based cumulative value Z(xi) shown monotonic. For pure flow, function, ZC, yields well-established flamelet in Z-space. In present manuscript, equations temperature mass fractions terms ZC are derived then applied canonical counterflow configuration with potential Numerical results obtained ethanol methanol sprays, effect Lewis Stokes numbers analysed. proposed formulation agrees well when mapping back space thereby confirming our integration methodology.