A Numerical Study on the Turbulent Schmidt Numbers in a Jet in Crossflow

This work presents a numerical study on the turbulent Schmidt numbers in jets in crossflow. This study contains two main parts. In the first part, the problem of the proper choice of the turbulent Schmidt number in the Reynolds-averaged Navier-Stokes (RANS) jet in crossflow mixing simulations is outlined. The results of RANS employing the shear-stress transport (SST) model of Menter and its curvature correction modification and different turbulent Schmidt number values are validated against experimental data. The dependence of the optimal value of the turbulent Schmidt number on the dynamic RANS model is studied. Furthermore, a comparison is made with the large-eddy simulation (LES) results obtained using the wall-adapted local eddy viscosity (WALE) model. The accuracy given by LES is superior in comparison to RANS results. This leads to the second part of the current study, in which the time-averaged mean and fluctuating velocity and scalar fields from LES are used for the evaluation of the turbulent viscosities, turbulent scalar diffusivities, and the turbulent Schmidt numbers in a jet in crossflow configuration. The values obtained from the LES data are compared with those given by the RANS modeling. The deviations are discussed, and the possible ways for the RANS model improvements are outlined.

[1]  B. Noll,et al.  Computational Modeling of Turbulent Mixing of a Transverse Jet , 2011 .

[2]  Nikolaos Zarzalis,et al.  Measurement and Simulation of Turbulent Mixing in a Jet in Crossflow , 2010 .

[3]  B. Noll,et al.  Unsteady simulations of turbulent mixing in jet in crossflow , 2010 .

[4]  Christophe Bailly,et al.  Turbulence and energy budget in a self-preserving round jet: direct evaluation using large eddy simulation , 2009, Journal of Fluid Mechanics.

[5]  Florian R. Menter,et al.  Review of the shear-stress transport turbulence model experience from an industrial perspective , 2009 .

[6]  B. Noll,et al.  Improvement and Assessment of RANS Scalar Transport Models for Jets in Crossflow , 2008 .

[7]  B. Enaux,et al.  Large-Eddy-Simulation Modeling for Aerothermal Predictions Behind a Jet In Crossflow , 2007 .

[8]  H. Bockhorn,et al.  Two-dimensional estimation of Reynolds-fluxes and -stresses in a Jet-in-Crossflow arrangement by simultaneous 2D-LIF and PIV , 2007 .

[9]  T. Siikonen,et al.  Large-Eddy Simulation of a Round Jet in a Cross-Flow , 2006 .

[10]  Michael A. Leschziner,et al.  Large eddy simulation of a plane turbulent wall jet , 2005 .

[11]  Amsini Sadiki,et al.  Comparative study of turbulent mixing in jet in cross-flow configurations using LES , 2004 .

[12]  A. Sadiki,et al.  A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations , 2003 .

[13]  Meredith B. Colket,et al.  Application of an Advanced CFD-Based Analysis System to the PW6000 Combustor to Optimize Exit Temperature Distribution: Part I — Description and Validation of the Analysis Tool , 2001 .

[14]  Jorg Schluter,et al.  LES of jets in cross flow and its application to a gas turbine burner , 2000 .

[15]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

[16]  Yanhu Guo,et al.  The Effect of Schmidt Number on Turbulent Scalar Mixing in a Jet-in-Crossflow , 1999 .

[17]  Lester L. Yuan,et al.  Large-eddy simulations of a round jet in crossflow , 1999, Journal of Fluid Mechanics.

[18]  Antti Hellsten,et al.  Some improvements in Menter's k-omega SST turbulence model , 1998 .

[19]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[20]  W. Kays,et al.  Turbulent Prandtl number : where are we ? , 1994 .

[21]  W. Jones,et al.  Predictions of momentum and scalar fields in a jet in cross-flow using first and second order turbulence closures , 1993 .

[22]  D. Wilcox.  Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[23]  A. J. Reynolds.  The variation of turbulent Prandtl and Schmidt numbers in wakes and jets , 1976 .

[24]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[25]  A. Chorin.  Numerical solution of the Navier-Stokes equations , 1968 .

[26]  Elizaveta Ivanova.  Numerical simulations of turbulent mixing in complex flows , 2012 .

[27]  B. Noll,et al.  Unsteady Simulations of Flow Field and Scalar Mixing in Transverse Jets , 2009 .

[28]  L. Fuchs,et al.  Mixing in Circular and Non-circular Jets in Crossflow , 2008 .

[29]  M. Dianat,et al.  Simulation of Scalar Mixing in Co-axial Jet Flows using an LES Method , 2005 .