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Velocity distribution function of reactive flows derived from gas kinetic theory

TL;DR: In this paper, the authors derived the local nonequilibrium particle velocity distribution function from the gas kinetic theory and demonstrated theoretically and numerically that the distribution function depends on the physical quantities and derivatives, and is independent of the chemical reactions directly.
Abstract: How to accurately probe chemical reactive flows with essential thermodynamic nonequilibrium effects is an open issue. Via the Chapman-Enskog analysis, the local nonequilibrium particle velocity distribution function is derived from the gas kinetic theory. It is demonstrated theoretically and numerically that the distribution function depends on the physical quantities and derivatives, and is independent of the chemical reactions directly. Based on the simulation results of the discrete Boltzmann model, the departure between equilibrium and nonequilibrium distribution functions is obtained and analyzed around the detonation wave. Besides, it has been verified for the first time that the kinetic moments calculated by summations of the discrete distribution functions are close to those calculated by integrals of their original forms.
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Book
01 Jan 1987
TL;DR: This new edition takes account of the explosive growth in computer technology and the greatly increased capacity for solving complex reactive-flow problems and presents algorithms for reactive flow simulations, describes some trade-offs involved, and gives guidance for building and using models of complex reactive flows.
Abstract: This new edition takes account of the explosive growth in computer technology and the greatly increased capacity for solving complex reactive-flow problems. It presents algorithms for reactive flow simulations, describes some trade-offs involved in their use, and gives guidance for building and using models of complex reactive flows.

1,019 citations

Journal ArticleDOI
TL;DR: A comprehensive review of the lattice Boltzmann (LB) method for thermofluids and energy applications, focusing on multiphase flows, thermal flows and thermal multi-phase flows with phase change, is provided in this paper.

618 citations

Book
01 Jan 1993
TL;DR: In this article, a comprehensive coverage of the dynamics of atmospheric re-entry is presented, focusing on fundamental concepts and practical applications such as the atmospheric model and reentry mechanics, and goes on to discuss specific topics such as reentry decoys, flow fields and error analysis.
Abstract: Presenting comprehensive coverage of the dynamics of atmospheric re-entry, this text details fundamental concepts and practical applications such as the atmospheric model and re-entry mechanics, and goes on to discuss specific topics such as re-entry decoys, flow fields and error analysis.

196 citations

Journal ArticleDOI
TL;DR: In this paper, the dynamics of one-dimensional Chapman-Jouguet detonations driven by chain-branching kinetics were studied using numerical simulations, and it was shown that the route to higher instability follows the Feigenbaum route of a period-doubling cascade.
Abstract: The dynamics of one-dimensional Chapman–Jouguet detonations driven by chain-branching kinetics is studied using numerical simulations. The chemical kinetic model is based on a two-step reaction mechanism, consisting of a thermally neutral induction step followed by a main reaction layer, both governed by Arrhenius kinetics. Results are in agreement with previous studies that detonations become unstable when the induction zone dominates over the main reaction layer. To study the nonlinear dynamics, a bifurcation diagram is constructed from the computational results. Similar to previous results obtained with a single-step Arrhenius rate law, it is shown that the route to higher instability follows the Feigenbaum route of a period-doubling cascade. The corresponding Feigenbaum number, defined as the ratio of intervals between successive bifurcations, appears to be close to the universal value of 4.669. The present parametric analysis determines quantitatively the relevant non-dimensional parameter χ, defined...

155 citations

Book
22 Jun 2009
TL;DR: In this article, the authors present a model for non-equilibrium gas mixtures and its influence on the transport processes behind strong shock waves. But the model does not consider the effect of temperature on the parameters of nozzle flows.
Abstract: Kinetic Equations and Method of Small Parameter.- State-to-State Approach.- Multi-Temperature Models in Transport and Relaxation Theory.- One-Temperature Model for Chemically Non-equilibrium Gas Mixtures.- Algorithms for the Calculation of Transport Coefficients.- Reaction Rate Coefficients.- Non-equilibrium Kinetics and its Influence on the Transport Processes Behind Strong Shock Waves.- Heat Transfer and Diffusion in a Non-equilibrium Boundary Layer.- Non-equilibrium Kinetics and Its Influence on the Parameters of Nozzle Flows.

119 citations