On the Modeling of the Scalar Correlations Necessary to Construct a Second-Order Closure Description of Turbulent Reacting Flows

Donaldson, Coleman duP.

doi:10.1007/978-1-4615-8738-5_3

Cited by 15 publications

(17 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to more recent data (Duterque, 1977;Sawyer et al, 1976;Edelman and Harsha, 1978;Dryer and Westbrook, 1979) it appears that the rate of the global reaction may be much slower (Table I). Then, it is important to work with a chemical model where this assumption is avoided i.e.…”

Section: Physical Modelmentioning

confidence: 87%

“…is very difficult in the general case. Donaldson (1975) has developed a second order closure where the structure of a "typical eddy" is assumed. In the case of two variables, show that, in circumstances where the chemistry may be described by a sequence of consecutive reactions, it is possible to decompose the joint probability density 23 function into two simply determined forms.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Premixed Turbulent Combustion Controlled by Complex Chemical Kinetics

Champion

1980

Combustion Science and Technology

View full text Add to dashboard Cite

The combustion of a turbulent homogeneous mixture of propane and air within a duct having a stationary one-dimensional mean flow is modelled. Under the conditions chosen for the study, chemical kinetics factors are important and a relatively detailed chemical model is needed. A semi-global model for the combustion of hydrocarbon is used and simplifying assumptions are made which reduce the system of independent variables to that of temperature and C02 mass fraction. A two-dimensional probability density function is introduced to close the mean chemical production terms. The required, equations for Favre averaged temperature, C02 mass fraction, turbulence kinetic energy and the mean square fluctuation of the temperature are solved numerically. Predictions are made of the profiles of mean quantities through the combustion zone under different initial temperature, turbulence intensities and dissipation length scales.

show abstract

Section: Physical Modelmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Premixed Turbulent Combustion Controlled by Complex Chemical Kinetics

Champion

1980

Combustion Science and Technology

View full text Add to dashboard Cite

show abstract

“…Ever since Toor and co-workers (Vassilatos and Toor, 1965;Toor, 1969;Mao and Toor, 1971;Li and Toor, 1986) defined methods for relating reaction conversion for non-premixed reactants to their degree of mixing, workers in the field of mixed chemical reactors have attempted to build upon and refine their analysis, which was based on the use of an assumed probability density function (PDF) for reactant concentration (see Donaldson 1975;Brodkey and Lewalle, 1985;Kosaly, 1987;Baldyga, 1994;Baldyga and Henczka, 1995). Pope (1985) presented an extensive review of concentration PDF closure methods for mixed chemical reactions, but only the spiked and β-PDFs are presented here.…”

Section: -52 Closure Equations For the Correlation Terms In The Bamentioning

confidence: 99%

Mixing and Chemical Reactions

Patterson

Paul

Kresta

et al. 2003

Handbook of Industrial Mixing

View full text Add to dashboard Cite

“…40,[46][47][48][49] The paired-interaction (P-I) closure 24,39 is one of the simplest closures and depends on a spiked PDF shown in Figure 4, which represents the probabilities of zero, maximum, and mean concentrations for each chemical component. The P-I closures for c i c k for the reaction terms in both equations and for s i c k for those in the segregation equation are as follows:…”

Section: Closure Equations For the Correlation Terms In The Balance Ementioning

confidence: 99%

Modeling and Scale-Up of Mixing- and Temperature-Sensitive Chemical Reactions

Patterson

2005

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

A review of published measurements of yield for complex chemical reactions in mixed reactors of various types and methods of modeling and simulating such reactions for the purpose of reactor scale-up shows the extent of progress that has been made. Reaction kinetics for very fast competitive reactions are usually difficult and expensive to determine. Many reaction processes must be scaled up from bench-and/or pilot-scale experiments that produce yield data under various mixing conditions. The variables that strongly affect the yield results are the reaction types and their rates, feed point in the reactor, feed injection velocity and scale, mixing reactor type, and intensity of mixing induced. Because temperature affects the rates of many chemical reactions, the effects of exothermic reactions are examined. Simulation methods that aim at accounting for all these variables, as well as more approximate methods that are easier and quicker to use, are reviewed. An approach to scale-up is proposed that involves a series of yield calculations for conditions ranging from perfectly mixed to full simulation of the mixed vessel or flow mixer. These may be progressively compared with experimental yields, and the ratios of rate constants and their absolute values are adjusted to give yields close to those of bench and pilot experiments. The rate constant ratios and absolute values may in this way be bracketed (maximum and minimum values) for use in doing the scale-up computations. General conclusions based on the current knowledge of mixing effects on chemical reactions and a correlation based on dimensional analysis that incorporates most of the above variables are presented.

show abstract

On the Modeling of the Scalar Correlations Necessary to Construct a Second-Order Closure Description of Turbulent Reacting Flows

Cited by 15 publications

References 0 publications

Premixed Turbulent Combustion Controlled by Complex Chemical Kinetics

Premixed Turbulent Combustion Controlled by Complex Chemical Kinetics

Mixing and Chemical Reactions

Modeling and Scale-Up of Mixing- and Temperature-Sensitive Chemical Reactions

Contact Info

Product

Resources

About