Campus Units
Chemical and Biological Engineering, Mechanical Engineering
Document Type
Article
Research Focus Area
Computational Fluid Dynamics
Publication Version
Accepted Manuscript
Publication Date
2-1-2021
Journal or Book Title
Chemical Engineering Journal
Volume
405
First Page
127020
DOI
10.1016/j.cej.2020.127020
Abstract
The quadrature-based semi-analytical solution for the conditional moment closure (SA-CMC) given in (A. D. Ilgun, A. Passalacqua, and R. O. Fox, “A quadrature-based conditional moment closure for mixing-sensitive reactions,” Chem. Eng. Sci., 226, 2020) eliminates the additional conditioning-space discretization in CMC applications by assuming that the mixture-fraction PDF is well represented by a β-PDF. A Gaussian quadrature provides the mixture-fraction abscissae, and the conditional scalar mean is expressed in terms of Jacobi polynomials. Here, by preserving the computational efficiency of SA-CMC, a novel quadrature-based moment method (QBMM-CMC) is developed for CMC applications, which does not assume the form of the mixture-fraction PDF. Remarkably, by solving the closed forms for the micromixing terms from CMC, exact expressions result for the mixture-fraction moments of any order. Thus, QBMM-CMC covers cases where the mixture-fraction PDF cannot be well represented by a β-PDF and can be applied to disperse multiphase flows with mass transfer (e.g., droplet evaporation). For single-phase and multiphase pure-mixing problems, the QBMM-CMC mixture-fraction moments are observed to deviate from the β-PDF. For single-phase mixing with and without dispersed-phase mass transfer, QBMM-CMC predictions for mixing-sensitive competitive-consecutive and parallel reactions are investigated parametrically.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Owner
Elsevier B.V.
Copyright Date
2020
Language
en
File Format
application/pdf
Recommended Citation
Ilgun, Aziz Dogan; Fox, Rodney O.; and Passalacqua, Alberto, "Solution of the first-order conditional moment closure for multiphase reacting flows using quadrature-based moment methods" (2021). Chemical and Biological Engineering Publications. 447.
https://lib.dr.iastate.edu/cbe_pubs/447
Comments
This is a manuscript of an article published as Ilgun, A. D., R. O. Fox, and A. Passalacqua. "Solution of the first-order conditional moment closure for multiphase reacting flows using quadrature-based moment methods." Chemical Engineering Journal (2020): 127020. DOI: 10.1016/j.cej.2020.127020. Posted with permission.