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Autori principali: Li, Xiang-Yuan, Zhang, Xin-Yu, Yue, ChuanFeng
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2512.19706
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author Li, Xiang-Yuan
Zhang, Xin-Yu
Yue, ChuanFeng
author_facet Li, Xiang-Yuan
Zhang, Xin-Yu
Yue, ChuanFeng
contents In this work, the rate law for inhomogeneous concentration distributions has been formulated, by applying spatial integration over the products of species concentrations. Reaction rates for typical reactions have been investigated by assuming a linear concentration distribution in the grid. A few examples of one-dimensional concentration distributions, straight line, piecewise, and sine function, for a selected second order reaction have been taken to illustrate the validations of the method developed. Difference between the reaction rates by spatial integration and by mean concentrations have been discussed. It is revealed that the chemical reaction rates for combustion simulation can be calculated by appropriate sub-grid modeling of concentration distributions, without needs of the explicit consideration of turbulent combustion interactions, and the reaction rates for the species transport equation in turbulent combustion simulations can be accurately calculated if the concentration distributions of species within the grid are correctly defined.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19706
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A generalized rate law for inhomogeneous system and turbulence-chemistry decoupling of reaction rate calculation in combustion
Li, Xiang-Yuan
Zhang, Xin-Yu
Yue, ChuanFeng
Chemical Physics
Fluid Dynamics
In this work, the rate law for inhomogeneous concentration distributions has been formulated, by applying spatial integration over the products of species concentrations. Reaction rates for typical reactions have been investigated by assuming a linear concentration distribution in the grid. A few examples of one-dimensional concentration distributions, straight line, piecewise, and sine function, for a selected second order reaction have been taken to illustrate the validations of the method developed. Difference between the reaction rates by spatial integration and by mean concentrations have been discussed. It is revealed that the chemical reaction rates for combustion simulation can be calculated by appropriate sub-grid modeling of concentration distributions, without needs of the explicit consideration of turbulent combustion interactions, and the reaction rates for the species transport equation in turbulent combustion simulations can be accurately calculated if the concentration distributions of species within the grid are correctly defined.
title A generalized rate law for inhomogeneous system and turbulence-chemistry decoupling of reaction rate calculation in combustion
topic Chemical Physics
Fluid Dynamics
url https://arxiv.org/abs/2512.19706