Eect of Finite-rate Chemical Reactions on Turbulence in Hypersonic Turbulent Boundary Layers

We conduct direct numerical simulations of reacting turbulent boundary layers to study the eects of finite-rate chemistry on turbulence as well as turbulence-chemistry interaction. It is found that turbulence fluctuations have a relative large influence on the dissociation reaction, while have a subtle influence on the recombination reaction. The influence of chemical reactions on temperature fluctuation variance, Reynolds stresses and turbulence kinetic energy is analyzed, and the results are compared with the non-reacting case. We find that the recombination reaction enhances turbulence, while the dissociation reaction damps turbulence. Chemical reactions influence the velocity field mainly by the heat of reaction, which causes volumetric flow expansion/contraction. The correlation of temperature fluctuation and fluctuation in species composition is significantly enhanced, and temperature fluctuations cause large fluctuations in species composition.

[1]  C. K. Madnia,et al.  Characteristics of chemically reacting compressible homogeneous turbulence , 2000 .

[2]  M. Pino Martin,et al.  DNS of Hypersonic Turbulent Boundary Layers , 2004 .

[3]  F. A. Jaberi,et al.  Effects of Heat of Reaction on Homogeneous Compressible Turbulence , 1998, J. Sci. Comput..

[4]  Graham V. Candler,et al.  EFFECT OF CHEMICAL REACTIONS ON DECAYING ISOTROPIC TURBULENCE , 1996 .

[5]  P. Givi.  Model-free simulations of turbulent reactive flows , 1989 .

[6]  J. Williamson.  Low-storage Runge-Kutta schemes , 1980 .

[7]  James J. Riley,et al.  Direct numerical simulations of a reacting mixing layer with chemical heat release , 1985 .

[8]  L. Duan,et al.  Procedure to Validate Direct Numerical Simulations of Wall- Bounded Turbulence Including Finite-Rate Reactions , 2009 .

[9]  Sharath S. Girimaji,et al.  Assumed PDF turbulence-chemistry closure with temperature-composition correlations , 2003 .

[10]  P. Dimotakis.  Turbulent Free Shear Layer Mixing and Combustion , 1991 .

[11]  M. Pino Martín,et al.  Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence , 2007, J. Comput. Phys..

[12]  Stephen B. Pope,et al.  Computations of turbulent combustion: Progress and challenges , 1991 .

[13]  Graham V. Candler,et al.  Temperature fluctuation scaling in reacting boundary layers , 2001 .

[14]  A. Eschenroeder.  Intensification of Turbulence by Chemical Heat Release , 1964 .

[15]  Marcel Vinokur,et al.  Upwind algorithms for general thermo-chemical nonequilibrium flows , 1989 .

[16]  Sharath S. Girimaji,et al.  Modeling turbulent/chemistry interactions using assumed pdf methods , 1992 .

[17]  F. Williams,et al.  Turbulent Reacting Flows , 1981 .

[18]  G. Candler,et al.  DNS of a Mach 4 boundary layer with chemical reactions , 2000 .

[19]  J C Hill,et al.  Homogeneous Turbulent Mixing with Chemical Reaction , 1976 .

[20]  C. M. Coats,et al.  Coherent structures in combustion , 1996 .

[21]  T. Poinsot,et al.  DIRECT NUMERICAL SIMULATION OF NON-PREMIXED TURBULENT FLAMES , 1998 .

[22]  J. Yos,et al.  TRANSPORT PROPERTIES OF NITROGEN, HYDROGEN, OXYGEN, AND AIR TO 30,000 K , 1963 .

[23]  Paul E. Dimotakis,et al.  Effects of heat release in a turbulent, reacting shear layer , 1989, Journal of Fluid Mechanics.

[24]  Ralph W. Metcalfe,et al.  Effects of heat release on the large-scale structure in turbulent mixing layers , 1989, Journal of Fluid Mechanics.

[25]  Richard A. Thompson,et al.  A review of reaction rates and thermodynamic and transport properties for the 11-species air model for chemical and thermal nonequilibrium calculations to 30000 K , 1989 .

[26]  M. Ringuette.  Effect of wall temperature and Mach number on the turbulence structure of hypersonic boundary layers , 2009 .

[27]  M. Pino Martin,et al.  Direct numerical simulation of hypersonic turbulent boundary layers. Part 1. Initialization and comparison with experiments , 2007, Journal of Fluid Mechanics.

[28]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .