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Viscous superlayer in a reacting compressible turbulent mixing layer

Published online by Cambridge University Press:  13 June 2018

Reza Jahanbakhshi Open the ORCID record for Reza Jahanbakhshi [Opens in a new window]  and
Cyrus K. Madnia Open the ORCID record for Cyrus K. Madnia [Opens in a new window]
Reza Jahanbakhshi
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260-4400, USA
Cyrus K. Madnia
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260-4400, USA
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Abstract

Direct numerical simulations of temporally evolving reacting compressible mixing layers have been performed to study the viscous superlayer (VSL) at the outer edge of the interface layer. Budgets of the transport equation of enstrophy conditioned on the normal distance from the turbulent/non-turbulent interface are used to examine the features of the VSL. A new method is introduced to detect and to quantify the thickness of the VSL in reacting compressible flows. It involves finding the correlation coefficient of the viscous diffusion term with the viscous dissipation term. It is shown that, while compressibility seems to have little effect on the thickness of the VSL, as the level of heat release increases, the thickness of this layer decreases. Furthermore, it is observed that a thinner VSL propagates slower, resulting in a decrease of the rate of entrainment into the mixing layer.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Shear layer turbulence Reacting Flows: Turbulent reacting flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 848 , 10 August 2018 , pp. 743 - 755
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Copyright
© 2018 Cambridge University Press 

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References

Bogdanoff, D. W. 1983 Compressibility effects in turbulent shear layers. AIAA J. 21 (6), 926–927.Google Scholar
Corrsin, S. & Kistler, A.1955 Free-stream boundaries of turbulent flows. Tech. Rep. TN-1244. NACA.Google Scholar
Gottlieb, D. & Turkel, E. 1976 Dissipative two-four methods for time-dependent problems. Maths Comput. 30 (136), 703–723.Google Scholar
Holzner, M. & Lüthi, B. 2011 Laminar superlayer at the turbulence boundary. Phys. Rev. Lett. 106 (13), 134503.Google Scholar
Holzner, M. & van Reeuwijk, M. 2017 The turbulent/nonturbulent interface in penetrative convection. J. Turbul. 18 (3), 260–270.Google Scholar
Jahanbakhshi, R.2016 DNS of compressible reacting turbulent shear layer. PhD thesis, State University of New York at Buffalo.Google Scholar
Jahanbakhshi, R. & Madnia, C. K. 2016 Entrainment in a compressible turbulent shear layer. J. Fluid Mech. 797, 564–603.Google Scholar
Jahanbakhshi, R. & Madnia, C. K. 2018 The effect of heat release on the entrainment in a turbulent mixing layer. J. Fluid Mech. 844, 92–126.Google Scholar
Jahanbakhshi, R., Vaghefi, N. S. & Madnia, C. K. 2015 Baroclinic vorticity generation near the turbulent/non-turbulent interface in a compressible shear layer. Phys. Fluids 27 (10), 105105.CrossRefGoogle Scholar
Jiménez, J., Wray, A. A., Saffman, P. G. & Rogallo, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65–90.CrossRefGoogle Scholar
Klein, M., Sadiki, A. & Janicka, J. 2003 A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations. J. Comput. Phys. 186 (2), 652–665.CrossRefGoogle Scholar
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.CrossRefGoogle Scholar
Ragab, S. A. & Wu, J. L. 1989 Linear instabilities in two-dimensional compressible mixing layers. Phys. Fluids A 1 (6), 957–966.Google Scholar
Redford, J. A., Castro, I. P. & Coleman, G. N. 2012 On the universality of turbulent axisymmetric wakes. J. Fluid Mech. 710, 419–452.CrossRefGoogle Scholar
van Reeuwijk, M. & Holzner, M. 2014 The turbulence boundary of a temporal jet. J. Fluid Mech. 739, 254–275.Google Scholar
da Silva, C. B., Hunt, J. C. R., Eames, I. & Westerweel, J. 2014 Interfacial layers between regions of different turbulence intensity. Annu. Rev. Fluid Mech. 46, 567–590.Google Scholar
da Silva, C. B., dos Reis, R. J. N. & Pereira, J. C. F. 2011 The intense vorticity structures near the turbulent/non-turbulent interface in a jet. J. Fluid Mech. 685, 165–190.CrossRefGoogle Scholar
Taveira, R. R., Diogo, J. S., Lopes, D. C. & da Silva, C. B. 2013 Lagrangian statistics across the turbulent/non-turbulent interface in a turbulent plane jet. Phys. Rev. E 88 (4), 043001.Google Scholar
Taveira, R. R. & da Silva, C. B. 2014 Characteristics of the viscous superlayer in shear free turbulence and in planar turbulent jets. Phys. Fluids 26 (2), 021702.Google Scholar
Thompson, K. W. 1990 Time-dependent boundary conditions for hyperbolic systems, II. J. Comput. Phys. 89 (2), 439–461.Google Scholar
Vaghefi, N. S.2014 Simulation and modeling of compressible turbulent mixing layer. PhD thesis, State University of New York at Buffalo.Google Scholar
Watanabe, T., Jaulino, R., Taveira, R. R., da Silva, C. B., Nagata, K. & Sakai, Y. 2017 Role of an isolated eddy near the turbulent/non-turbulent interface layer. Phys. Rev. Fluids 2 (9), 094607.Google Scholar
Watanabe, T., Riley, J. J. & Nagata, K. 2016 Effects of stable stratification on turbulent/nonturbulent interfaces in turbulent mixing layers. Phys. Rev. Fluids 1 (4), 044301.CrossRefGoogle Scholar
Williams, F. A. 1985 Combustion Theory. Benjamin-Cummings.Google Scholar