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Untersuchte Arbeit:
Seite: 113, Zeilen: 15-25
Quelle: Behzadi et al 2004
Seite(n): 760, Zeilen: left col. 45ff - right col. 1-2
5.5.3 Turbulence Model for Each Phase

In the dispersed k-ε model, turbulence is associated with the continuous phase, which is assumed to be the dominant phase, i.e. the dispersed phase is present in small quantities. Hence, the dispersed phase can only respond to or modify the continuous phase turbulence. When the phase fraction increases this assumption ceases to be valid as the dispersed phase fluctuations become intertwined with those of the continuous phase. In the limit, when the dispersed phase fraction approaches unity, turbulence becomes associated with the "dispersed" phase. Hence a model catering for the full range of phase fraction values is needed. Such a model, based on the solution of the k and ε transport equations for each phase, is presented here.

In all those models, turbulence is associated with

the continuous phase, which is assumed to be the dominant phase, i.e. the dispersed phase is present in small quantities. Hence, the dispersed phase can only respond to or modify the continuous phase turbulence. When the phase fraction increases this assumption ceases to be valid as the dispersed phase fluctuations become intertwined with those of the continuous phase. Indeed, in the limit when the dispersed phase fraction approaches unity, or when phase inversion occurs, turbulence becomes associated with the “dispersed” phase. Hence a model catering for the full range of phase fraction values is needed. Such a model is proposed here and is based on the derivation of the k and ε transport equations for the mixture of the two phases.

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