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Chen, C

1992

A Study of Favre Averaging Turbulent Flows with Chemical Reaction

Chen, C; Riley, J.J. and McMurtry, P.A.
Combustion and Flame, 87:257-277, 1992. Funded by Office of Naval Research and ACERC.

This article presents an investigation of the Favre averaging method for turbulent flows with chemical reaction. A set of data from direct numerical simulations of a chemically reacting turbulent mixing layer is employed. Favre-averaged quantities are compared directly with their corresponding Reynolds-averaged values. The gradient transport assumptions in the kappa-epsilon model in Favre-averaged form are also tested. Finally the transport equations for the Reynolds stress and scalar flux of the chemical product are studied term by term. Some Favre-averaged quantities such as u, ˜c, and ˜k are very similar numerically to their Reynolds-averaged values. Other Favre-averaged quantities, however, like ˜e, ˜p, ˜u, and ˜v, are significantly different from their Reynolds-averaged values. The gradient transport models generally work rather well when the mixing layer is in a naturally developing turbulent state, although some important weaknesses are noted. Some significant effects of pressure on they Reynolds stress and scalar flux are exhibited.

1991

A Study of Favre Averaging Turbulent Flows with Chemical Reaction

Chen, C; Riley, J.J.; and McMurtry, P.A.
Combustion and Flame, 1991 (in press). Funded by ACERC.

This article presents an investigation of the Favre averaging method for turbulent flows with chemical reaction. A set of data from direct numerical simulations of a chemically reacting turbulent mixing layer is employed. Favre-averaged quantities are compared directly with their corresponding Reynolds-averaged values. The gradient transport assumptions in the k - model in Favre-averaged form are also tested. Finally the transport equations for the Reynolds stress and scalar flux of the chemical product are studied term by term. Some Favre-averaged quantities such as are very similar numerically to their Reynolds-averaged values. Other Favre-averaged quantities, however, like and , are significantly different from their Reynolds-averaged values. The gradient transport models generally work rather well when the mixing layer is in a naturally developing turbulent state, although some important weaknesses are noted. Some significant effects of pressure on they Reynolds stress and scalar flux are exhibited.