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Statistical behaviour of dissipation rate of turbulent kinetic energy in turbulent premixed flames

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.430
pages 385-396

Nilanjan Chakraborty
School of Mechanical and Systems Engineering, Newcastle University, Newcastle-Upon-Tyne, NE17RU, United Kingdom

M. Hudson
School of Mechanical and Systems Engineering, Newcastle University, Newcastle-Upon-Tyne, NE1 7RU, United Kingdom

R. Stewart Cant
Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, United Kingdom


The transport behaviour of the dissipation rate of turbulent kinetic energy in the context of Reynolds Averaged Navier Stokes (RANS) simulations has been analysed in detail using a Direct Numerical Simulation (DNS) database of statistically planar turbulent premixed flames. The density gradient and dilatation rate arising from heat release give rise to additional terms in the transport equation of the dissipation rate of turbulent kinetic energy. These terms play particularly important roles in flames with Lewis number significantly smaller than unity. The global Lewis number is shown to have a significant influence both on the qualitative and quantitative nature of the transport of turbulent kinetic energy dissipation rate in turbulent premixed flames.

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