Newsletter 2023.10 Index
Theme : "AJK FED 2023"
|
LES/Lagrangian-particle-simulation of a Reactive Turbulent Planar Jet
Jiabao Xing Nagoya University, Tomoaki WATANABE Nagoya University, Koji NAGATA Kyoto University |
Abstract
Understanding mixing and chemical reactions in compressible turbulence has many potential applications, such as designing propulsion systems. This study applies Lagrangian particle simulation (LPS) combined with large eddy simulation (LES) to investigate the mixing and reaction in a temporally evolving turbulent planar jet with a subsonic or supersonic jet velocity. The present study assumes an isothermal and second-order chemical reaction A + B→P, where A and B are supplied from the jet and ambient fluids, respectively.
LES solves Navier–Stokes equations of compressible fluid with a finite difference method, while LPS solves scalar transport equations with notional particles. Each particle is described by its location and scalar values, such as mass fractions. The particle movement modelled by the resolved velocity of LES represents the advective scalar transport. The molecular diffusion is modelled by a mixing volume model extended to compressible turbulence, while the chemical reaction term is directly evaluated with the scalars assigned to each particle.
The results of LES/LPS for the jet Mach number of are compared with the direct numerical simulation (DNS) of the same flow. Figure 1 shows two-dimensional profiles of the mass fraction of product P on an plane in the fully developed turbulent jet. The LES/LPS well predicts the spatial distribution of the product. We have also confirmed that the cross-streamwise distributions of mass-fraction statistics are in good agreement between the LES/LPS and DNS, e.g., Fig. 2.
In conclusion, we believe that LES/LPS with the mixing volume model is expected to be a promising method for investigating compressible turbulent reactive flows at a moderate computational cost.
Key words
Large eddy simulation, Lagrangian particle simulation, Mixing model, Reacting flows, Supersonic jet
Figures
Fig. 1 Instantaneous distribution of the mass fraction of product, , on an xy plane for obtained by (a) DNS and (b) LES/LPS.
Fig. 2 Mean mass fraction of reactants (a) A and (b) B at and . The jet half width defined with mean mixture fraction, , is used to normalize the transverse position .