Calculation of the Structure of Laminar Flat Flames I: Flame Velocity of Freely Propagating Ozone Decomposition Flames

Warnatz, Jürgen

doi:10.1002/bbpc.197800010

Cited by 103 publications

(15 citation statements)

References 23 publications

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“…Grotheer and Keirn (1989) have recently conducted a detailed numerical study of methanol flames with the latest information of Norton andDryer (1989) andTsang (1987), predicting laminar flame speeds of methanol/air mixtures at p = I atm and T" = 298 K conditions. In this study, the one-dimensional, time-dependent flame code of Warnatz (1978) was used and a number of revisions was adopted due to significant overprediction of the flame speeds of rich mixtures. The revised scheme was tested against our experimental data for stoichiometric flames at various initial temperatures using the Sandia flame code (Kee et al, 1985;Grear et al, 1986), and the results are shown in Figure II.…”

Section: Chcomentioning

confidence: 99%

A Comprehensive Study of Methanol Kinetics in Freely-Propagating and Burner-Stabilized Flames, Flow and Static Reactors, and Shock Tubes

Egolfopoulos

Law

1992

Combustion Science and Technology

128

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Section: Chcomentioning

confidence: 99%

A Comprehensive Study of Methanol Kinetics in Freely-Propagating and Burner-Stabilized Flames, Flow and Static Reactors, and Shock Tubes

Egolfopoulos

Law

1992

Combustion Science and Technology

128

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“…Due to this fact, and since our time integration procedure is still fully explicit, we restrict ourselves in this ÿrst study to ozone ames. It is well known that the chemical processes (Table I) controlling ozone decomposition [45] show very slow characteristic chemical times.…”

Section: Structure Of a Turbulent Ozone Amementioning

confidence: 99%

Comparison of direct numerical simulations of turbulent flames using compressible or low‐Mach number formulations

Charentenay

Thévenin

Zamuner

2002

Numerical Methods in Fluids

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SUMMARYModelling turbulent ames with an acceptable accuracy remains an open problem. In order to progress in our understanding of turbulent combustion, direct numerical simulations have been extensively employed during the last decade. These direct simulations generally rely on a fully compressible formulation, leading to extremely small time-steps associated with the propagation of acoustic waves. But, for many practical applications, acoustic phenomena are not essential. Using an incompressible approach while taking into account a dilatation term should then be much more e cient in terms of computing time. In this article we want to investigate this point by comparing results of direct simulations relying either on the compressible equations or on the low-Mach number formulation. We employ in both cases detailed models to describe chemistry and transport, in order to obtain an accurate description of the reaction zones. Two test-cases are considered for the evaluation of the low-Mach number approximation. We ÿrst compute the evolution of homogeneous isotropic turbulence decaying with time, without chemical reactions. In the second case a turbulent premixed ozone ame is investigated. For both conÿgurations the computing time associated with the low-Mach number simulation is at least an order of magnitude shorter, while keeping a similar accuracy for the ame properties. This demonstrates that the low-Mach number formulation is extremely e cient and suitable to investigate the detailed structure of turbulent ames when acoustic phenomena are not of primary interest.

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“…24 Warnatz has studied extensively both freely propagating and burnerstabilized flames in a variety of premixed gases. 25 "" 29 He linearizes the chemical reaction terms and solves the time-dependent equations implicitly with assumed initial guesses for the temperature and species profiles. He also uses a simplified transport model 25 that agrees well with the complete multicomponent formulation of diffusion and thermal conduction.…”

Section: Modeling Of Laminar Flamesmentioning

confidence: 99%

Laminar Flames in Premixed Gases

Kailasanath

1991

Numerical Approaches to Combustion Modeling

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Nomenclature a,-= external force per unit mass, cm/s 2 c pi = heat capacity of species /, erg/g-K D ik = binary diffusion coefficient for species / and k, cm 2 /s E = total energy density, erg/cm 3 g = gravitational acceleration constant, = 980.67 cm/s 2 hi = specific enthalpy for species /, erg/g h i0 = specific heat of formation for species / evaluated at temperature T 0 , erg/g / = unit tensor (nondimensional) k f = forward chemical rate constant k r = reverse chemical rate constant k B = Boltzmann constant, = 1.3805 x 10~1 6 erg/K Kf = thermal diffusion coefficient of species /, cm' 1 L t = chemical loss rate of species /, s" 1 m = mass of a species, g Hi = number density of species i, cm~3 TV = total number density, cm" 3 N s = number of individual species in model P = scalar pressure, dyne/cm 2 P = pressure tensor, dyne/cm 2 q = heat flux, erg/cm 2 -s q r = radiative heat flux, erg/cm 2 -s Qi = chemical production rate of species /, cm" 3^"1 R = gas constant, = 8.3144 x 10 7 erg/deg-mol t = time, s T = temperature, K v = fluid velocity, cm/s This paper is declared a work of the U.S. LAMINAR FLAMES IN PREMIXED GASESv di = diffusion velocities of species /, cm/s 7 = ratio of specific heats, = c p lc v € = specific internal energy, erg/g K = bulk viscosity coefficient, g/cm-s X = thermal conductivity coefficient, g-cm/K-s 3 |x = coefficient of shear viscosity, P, g/cm-s p = mass density, g/cm 3 Superscripts r = pertaining to electromagnetic radiation T = transpose operation on a matrix Subscripts i, j, k, I = individual species m = quantity defined for a mixture of species

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Calculation of the Structure of Laminar Flat Flames I: Flame Velocity of Freely Propagating Ozone Decomposition Flames

Cited by 103 publications

References 23 publications

A Comprehensive Study of Methanol Kinetics in Freely-Propagating and Burner-Stabilized Flames, Flow and Static Reactors, and Shock Tubes

A Comprehensive Study of Methanol Kinetics in Freely-Propagating and Burner-Stabilized Flames, Flow and Static Reactors, and Shock Tubes

Comparison of direct numerical simulations of turbulent flames using compressible or low‐Mach number formulations

Laminar Flames in Premixed Gases

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