Journal Article10.1080/00102209108951748
Assumed β-pdf Model for Turbulent Mixing: Validation and Extension to Multiple Scalar Mixing
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TL;DR: In this paper, the authors investigated the validity of the assumed pdf model for the case of inert mixing of two scalars and extended the applicability of the model to multiple scalar mixing.
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Abstract: Many engineering calculations of turbulent reacting flows employ the assumed-pdf approach. On the form of the assumed pdf, however, there has been little consensus and the choice has often been ad hoc. The objective of this work is to investigate the validity of the assumed β-pdf model for the case of the inert mixing of two scalars and extend the applicability of the model to multiple scalar mixing. By comparing the β-pdf model favorably with the two-scalar mixing data obtained from direct numerical simulations (DNS), it is demonstrated that the use of this model is justified for all stages of the mixing process in statistically-stationary, isotropic turbulence. It is also shown analytically that during the final stages of mixing the model β-pdf reduces to a Gaussian-pdf, consistent with the observations from experiments and DNS, The suggested multivariate β-pdf model for multiple-scalar mixing relates algebraically, The mean scalar concentrations and the turbulent scalar-energy—to the joint pdf...
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References
PDF methods for turbulent reactive flows
TL;DR: In this article, the authors proposed a joint probability density function (pdf) of the three components of velocity and of the composition variables (species mass fractions and enthalpy) to calculate the properties of turbulent reactive flow fields.
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Direct numerical simulations of the turbulent mixing of a passive scalar
Vinayak Eswaran,Stephen B. Pope +1 more
TL;DR: In this article, the evolution of scalar fields, of different initial integral length scales, in statistically stationary, homogeneous, isotropic turbulence is studied, and it is shown that the pdf of the scalar tends to a Gaussian self-similar state.
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Computations of turbulent combustion: Progress and challenges
Stephen B. Pope
- 01 Jan 1991
TL;DR: In this paper, a review of the development and use of turbulent combustion models applicable to practical combustion devices is presented, including pdf methods for complex flows and with realistic finite-rate kinetics.
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Calculation methods for reacting turbulent flows: A review
W.P. Jones,J. H. Whitelaw +1 more
TL;DR: In this paper, the authors present a review of the main components of calculation methods, based on the solution of conservation equations in differential form, for the velocity, temperature and concentration fields in turbulent combusting flows.
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