Impact of mixing model on predicted no formation in a nonpremixed, partially stirred reactor

Chang, W.-C.; Chen, Jyh-Yuan

doi:10.1016/s0082-0784(96)80049-x

Cited by 4 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that, with the notations (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14) representation (2.12), (2.13) coincides with formulas (14)- (15) in [13]. Moments…”

Section: The Stochastic Processmentioning

confidence: 98%

“…Models which are based on this assumption are often called partially stirred reactor models. Such partially stirred models have been used, for example, in [7] to study combustion of methane, in [6,5] to model the formation of NOx and in [22,14] to model a stationary combustion device and an internal combustion engine. An overview on this sort of models can be found in [12].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An efficient stochastic chemistry approximation for the PDF transport equation

Kraft¹,

Wagner²

2002

Monte Carlo Methods and Applications

View full text Add to dashboard Cite

In this paper we present an efficient algorithm for the numerical treatment of the PDF transport equation. Using the partially stirred plug flow model in conjunction with the IBM mixing model we construct a numerical scheme that is based on a time Splitting technique and a stochastic chemistry approximation. For this purpose a particle/sub-particle System is introduced. The dynamics of this particle System is determined by a mixing step and a chemistry step. The chemistry step is solved by a Jump process where forward and reverse reactions are combined. Various numerical experiments are carried out to study convergence with respect to particle number and sub-particle number. In case of a linear reaction, the comparison between analytical solution and numerical approximation of the third moment reveals that the systematic error is inversely proportional to the number of particles and sub-particles, respectively. The performance of the algorithm is evaluated by studying the combustion of a premixed stoichiometric mixture of n-heptane and air. The stochastic chemistry algorithm is compared with a deterministic approach using the ODE solver DASSL and it is found, for the examples studied, that the stochastic algorithm is more efficient than the deterministic approach.

show abstract

“…Note that, with the notations (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14) representation (2.12), (2.13) coincides with formulas (14)- (15) in [13]. Moments…”

Section: The Stochastic Processmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

An efficient stochastic chemistry approximation for the PDF transport equation

Kraft¹,

Wagner²

2002

Monte Carlo Methods and Applications

View full text Add to dashboard Cite

show abstract

“…SRMs have also been used to investigate differences between molecular mixing models. In [8] and [9] a computational study is presented in which different mixing models have been compared with each other. Another field of application for SRMs is the validation of simplified chemistry models because simplified and detailed chemistry models can both be compared in a range of Damköhler numbers that is relevant for turbulent combustion.…”

Section: Introductionmentioning

confidence: 99%

Some analytic solutions for stochastic reactor models based on the joint composition PDF

Kraft

Fey

1999

Combustion Theory and Modelling

View full text Add to dashboard Cite

The stochastic reactor models Partially Stirred Reactor (PaSR) and Partially Stirred Plug Flow Reactor (PaSPFR) have been investigated. These models are based on a simplified joint composition PDF transport equation. Analytic solutions for five different Cauchy problems for the PDF transport equation as given by the stochastic reactor models are presented. In all cases, molecular mixing in the stochastic reactor models is described by the LMSE mixing model. The analytic solutions have been found by combining the method of characteristics with a set of ordinary differential equations for the statistical moments to account for the functional dependence of the coefficients in the corresponding PDF transport equation. For each case an example problem is discussed to illustrate the behavior of the analytic solution.

show abstract

Stochastic Modeling of Partially Stirred Reactor (PaSR) for the Investigation of the Turbulence-Chemistry Interaction for the Ammonia-Air Combustion

Yu,

Cai,

Chen

2023

Flow Turbulence Combust

View full text Add to dashboard Cite

The Partially Stirred Reactor (PaSR) model is carried out for the ammonia-air combustion system by means of stochastic modeling, namely by solving the transport equation for the joint Probability Density Function (PDF). The turbulent mixing is accounted for by the Linear Mean-Square Estimation (LMSE) mixing model. Notwithstanding the simplified nature of the PaSR modeling, the transported-PDF method enables capturing the effect of mixing frequency on the combustion system, especially the NOx emission. Since the chemical source term is in a closed form in the transported-PDF method, it allows us to apply different chemical mechanisms to explore, whether the set of elementary reactions that are identified as important for the prediction of NOx in the PaSR model is sensitive to the choice of chemical mechanisms. Furthermore, the effect of the residence time in the PaSR model has also been studied, and compared with those in the Perfectly Stirred Reactor (PSR) model (infinite large mixing frequency). Moreover, since the ammonia under oxygen enrichment shows some similar combustion behaviors in terms of e.g. laminar burning velocity as the ammonia under hydrogen enrichment, how large the difference of thermo-kinetic states (e.g. temperature and NOx emission) predicted by PaSR models and in laminar premixed flame configuration is also investigated. A further discussion focuses on the effect of thermal radiation, where the radiative heat loss roles in the prediction of NOx for the turbulent simulation is examined. By using the optically thin approximation model, it is shown that the thermal radiation exhibits little effect on the considered combustion systems within a typical turbulent time-scale.

show abstract

Impact of mixing model on predicted no formation in a nonpremixed, partially stirred reactor

Cited by 4 publications

References 20 publications

An efficient stochastic chemistry approximation for the PDF transport equation

An efficient stochastic chemistry approximation for the PDF transport equation

Some analytic solutions for stochastic reactor models based on the joint composition PDF

Stochastic Modeling of Partially Stirred Reactor (PaSR) for the Investigation of the Turbulence-Chemistry Interaction for the Ammonia-Air Combustion

Contact Info

Product

Resources

About