An evaluation of the one-dimensional turbulence model: Comparison with direct numerical simulations of CO/H2 jets with extinction and reignition

Abstract A variant of the one-dimensional turbulence (ODT) model formulated in an Eulerian reference frame is applied to a planar nonpremixed turbulent jet flame and results from the model prediction are compared with DNS data. The model employed herein solves the full set of conservation equations for mass, momentum, energy, and species on a one-dimensional domain corresponding to the transverse jet direction. The effects of turbulent mixing are modeled via a stochastic process, while the full range of diffusive-reactive length and time scales are resolved directly on the one-dimensional domain. A detailed chemical mechanism consisting of 11 species and 21 reactions and mixture-averaged transport is used in this study (consistent with DNS simulations). Comparisons between the model and DNS data in physical and state space are shown, including conditional statistics. Results indicate that the model accurately reproduces the DNS data set. Turbulence-chemistry interactions, including trends for extinction and reignition, are captured by the model. Differences observed between model prediction and data are the result of early excess extinction observed in the model. The reasons for the early extinction are discussed within the model context.

[1]  Epaminondas Mastorakos,et al.  Turbulent combustion modeling : advances, new trends and perspectives , 2011 .

[2]  Baris A. Sen,et al.  Large eddy simulation of extinction and reignition with artificial neural networks based chemical kinetics , 2010 .

[3]  A Unified Approach to the Various Formulations of the One-Dimensional-Turbulence Model , 2010 .

[4]  V. Sankaran,et al.  Subgrid combustion modeling of 3-D premixed flames in the thin-reaction-zone regime , 2005 .

[5]  Jean-Raymond Abrial,et al.  On B , 1998, B.

[6]  Alan R. Kerstein,et al.  A linear eddy sub-grid model for turbulent reacting flows: Application to hydrogen-AIR combustion , 1992 .

[7]  A. Kerstein,et al.  The ensemble mean limit of the one-dimensional turbulence model and application to residual stress closure in finite volume large-eddy simulation , 2005 .

[8]  Heinz Pitsch,et al.  Extinction and reignition in a diffusion flame: a direct numerical simulation study , 2004, Journal of Fluid Mechanics.

[9]  Alan R. Kerstein,et al.  One-dimensional turbulence: model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows , 1999, Journal of Fluid Mechanics.

[10]  Robert J. Kee,et al.  On reduced mechanisms for methaneair combustion in nonpremixed flames , 1990 .

[11]  J C Hewson,et al.  Stochastic simulation of transport and chemical kinetics in turbulent CO/H2/N2 flames , 2001 .

[12]  Evatt R. Hawkes,et al.  An analysis of lower-dimensional approximations to the scalar dissipation rate using direct numerical simulations of plane jet flames , 2009 .

[13]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[14]  Alan R. Kerstein,et al.  One-dimensional turbulence: vector formulation and application to free shear flows , 2001, Journal of Fluid Mechanics.

[15]  Alan R. Kerstein,et al.  Linear-eddy modeling of turbulent transport. II: Application to shear layer mixing , 1989 .

[16]  Alan R. Kerstein,et al.  ‘One-dimensional turbulence’ simulation of turbulent jet diffusion flames: model formulation and illustrative applications , 2001 .

[17]  Rodney Cannon Schmidt,et al.  Near-wall LES closure based on one-dimensional turbulence modeling , 2003 .

[18]  J. Hewson,et al.  Local extinction and reignition in nonpremixed turbulent CO/H 2 /N 2 jet flames , 2002 .

[19]  Alan R. Kerstein,et al.  Linear-eddy modelling of turbulent transport. Part 3. Mixing and differential molecular diffusion in round jets , 1990, Journal of Fluid Mechanics.

[20]  Rodney Cannon Schmidt,et al.  ODTLES: A multi-scale model for 3D turbulent flow based on one-dimensional turbulence modeling , 2010 .

[21]  A. Kerstein,et al.  One-dimensional turbulence: Variable-density formulation and application to mixing layers , 2005 .

[22]  Pierre Sagaut,et al.  On the filtering paradigm for LES of flows with discontinuities , 2005 .

[23]  T. Echekki,et al.  One-dimensional turbulence-based closure with extinction and reignition , 2008 .

[24]  Alan R. Kerstein,et al.  A stochastic model for high-Rayleigh-number convection , 2005, Journal of Fluid Mechanics.

[25]  Alan R. Kerstein,et al.  Linear-eddy modelling of turbulent transport. Part 6. Microstructure of diffusive scalar mixing fields , 1991, Journal of Fluid Mechanics.

[26]  T. Gunnar Johansson,et al.  Influence of the external conditions on transitionally rough favorable pressure gradient turbulent boundary layers , 2008 .

[27]  Evatt R. Hawkes,et al.  Scalar mixing in direct numerical simulations of temporally evolving plane jet flames with skeletal CO/H2 kinetics ☆ , 2007 .

[28]  Denis Veynante,et al.  Turbulent combustion modeling , 2002, VKI Lecture Series.

[30]  K.N.C. Bray,et al.  The challenge of turbulent combustion , 1996 .

[31]  A. Kerstein,et al.  A model for layer formation in stably stratified turbulence , 2001 .