Non-equilibrium Models for High Temperature Gas Flows

Non-equilibrium Models for High Temperature Gas Flows PDF Author: Daniil Andrienko
Publisher:
ISBN:
Category : Aerospace engineering
Languages : en
Pages : 210

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Book Description
A multi-physical approach is developed for non-equilibrium high enthalpy flows to cover a wide range of interdisciplinary studies. Compressible Navier-Stokes equations are coupled with the chemical model and equation of energy conservation for internal degrees of freedom. The model is capable of accounting for the non-equilibrium dissociation and thermal radiation heat transfer in gas flows. The methodology covers a range of problems from the combustion in subsonic counter-flowing jets to the hypersonic re-entry flows. The present approach attempts to validate the finite rate chemistry mechanisms by modeling the diffusive non-premixed flame of hydrogen at a very low Mach number. The comparison with the artificial compressibility method provides some insights into the compressible Navier-Stokes equations when applied to the flow with nearly constant pressure. High Mach number flow is assessed by a TVD flux splitting scheme applied to model the re-entry of RAM-C II probe. The chemical composition of the air plasma is validated against available experimental and theoretical data. The uncertainty in electron concentration, measured by microwave reflectometers and a Langmuir probe, is examined in the light of chemical reactions, multi-temperature models, boundary conditions and a vibrational-dissociation coupling model. The heating rates are reported on a wide range of trajectory points. A novel approach is used to improve the accuracy of the radiation transfer model based on the ray tracing method by introducing Gauss-Lobatto quadrature and space partition algorithms to the nearest neighbor search. The accuracy of the method is analyzed for hypersonic flows and for laser-supported combustion waves. The approach revealed an increased efficiency of two orders of magnitude when solving the radiation transfer energy along the line of sight. Finally, the concept of the view factor is applied to assess the radiation transfer in high temperature absorbing gas flows. This concept was verified against the ray tracing method and demonstrated several important advantages. The semi-analytical solution for the radiation flux density in axisymmetric geometry is obtained in terms of elliptic integrals. The cost of the radiation transfer model based on the view factor approach in weakly absorbing media is comparable with the cost of the tangent slab approximation and achieves the asymptotic accuracy of the ray tracing method.

Non-equilibrium Models for High Temperature Gas Flows

Non-equilibrium Models for High Temperature Gas Flows PDF Author: Daniil Andrienko
Publisher:
ISBN:
Category : Aerospace engineering
Languages : en
Pages : 210

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Book Description
A multi-physical approach is developed for non-equilibrium high enthalpy flows to cover a wide range of interdisciplinary studies. Compressible Navier-Stokes equations are coupled with the chemical model and equation of energy conservation for internal degrees of freedom. The model is capable of accounting for the non-equilibrium dissociation and thermal radiation heat transfer in gas flows. The methodology covers a range of problems from the combustion in subsonic counter-flowing jets to the hypersonic re-entry flows. The present approach attempts to validate the finite rate chemistry mechanisms by modeling the diffusive non-premixed flame of hydrogen at a very low Mach number. The comparison with the artificial compressibility method provides some insights into the compressible Navier-Stokes equations when applied to the flow with nearly constant pressure. High Mach number flow is assessed by a TVD flux splitting scheme applied to model the re-entry of RAM-C II probe. The chemical composition of the air plasma is validated against available experimental and theoretical data. The uncertainty in electron concentration, measured by microwave reflectometers and a Langmuir probe, is examined in the light of chemical reactions, multi-temperature models, boundary conditions and a vibrational-dissociation coupling model. The heating rates are reported on a wide range of trajectory points. A novel approach is used to improve the accuracy of the radiation transfer model based on the ray tracing method by introducing Gauss-Lobatto quadrature and space partition algorithms to the nearest neighbor search. The accuracy of the method is analyzed for hypersonic flows and for laser-supported combustion waves. The approach revealed an increased efficiency of two orders of magnitude when solving the radiation transfer energy along the line of sight. Finally, the concept of the view factor is applied to assess the radiation transfer in high temperature absorbing gas flows. This concept was verified against the ray tracing method and demonstrated several important advantages. The semi-analytical solution for the radiation flux density in axisymmetric geometry is obtained in terms of elliptic integrals. The cost of the radiation transfer model based on the view factor approach in weakly absorbing media is comparable with the cost of the tangent slab approximation and achieves the asymptotic accuracy of the ray tracing method.

Non-Equilibrium Reacting Gas Flows

Non-Equilibrium Reacting Gas Flows PDF Author: Ekaterina Nagnibeda
Publisher: Springer Science & Business Media
ISBN: 3642013902
Category : Technology & Engineering
Languages : en
Pages : 255

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Book Description
In the present monograph, we develop the kinetic theory of transport phenomena and relaxation processes in the flows of reacting gas mixtures and discuss its applications to strongly non-equilibrium conditions. The main attention is focused on the influence of non-equilibrium kinetics on gas dynamics and transport properties. Closed systems of fluid dynamic equations are derived from the kinetic equations in different approaches. We consider the most accurate approach taking into account the state-to-state kinetics in a flow, as well as simplified multi-temperature and one-temperature models based on quasi-stationary distributions. Within these approaches, we propose the algorithms for the calculation of the transport coefficients and rate coefficients of chemical reactions and energy exchanges in non-equilibrium flows; the developed techniques are based on the fundamental kinetic theory principles. The theory is applied to the modeling of non-equilibrium flows behind strong shock waves, in the boundary layer, and in nozzles. The comparison of the results obtained within the frame of different approaches is presented, the advantages of the new state-to-state kinetic model are discussed, and the limits of validity for simplified models are established. The book can be interesting for scientists and graduate students working on physical gas dynamics, aerothermodynamics, heat and mass transfer, non-equilibrium physical-chemical kinetics, and kinetic theory of gases.

Nonequilibrium Gas Dynamics and Molecular Simulation

Nonequilibrium Gas Dynamics and Molecular Simulation PDF Author: Iain D. Boyd
Publisher: Cambridge University Press
ISBN: 1107073448
Category : Science
Languages : en
Pages : 383

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Book Description
7.1 Introduction -- 7.2 Rotational Energy Exchange Models -- 7.2.1 Constant Collision Number -- 7.2.2 The Parker Model -- 7.2.3 Variable Probability Exchange Model of Boyd -- 7.2.4 Nonequilibrium Direction Dependent Model -- 7.2.5 Model Results -- 7.3 Vibrational Energy Exchange Models -- 7.3.1 Constant Collision Number -- 7.3.2 The Millikan-White Model -- 7.3.3 Quantized Treatment for Vibration -- 7.3.4 Model Results -- 7.4 Dissociation Chemical Reactions -- 7.4.1 Total Collision Energy Model -- 7.4.2 Redistribution of Energy Following a Dissociation Reaction -- 7.4.3 Vibrationally Favored Dissociation Model -- 7.5 General Chemical Reactions -- 7.5.1 Reaction Rates and Equilibrium Constant -- 7.5.2 Backward Reaction Rates in DSMC -- 7.5.3 Three-Body Recombination Reactions -- 7.5.4 Post-Reaction Energy Redistribution and General Implementation -- 7.5.5 DSMC Solutions for Reacting Flows -- 7.6 Summary -- Appendix A: Generating Particle Properties -- Appendix B: Collisional Quantities -- Appendix C: Determining Post-Collision Velocities -- Appendix D: Macroscopic Properties -- Appendix E: Common Integrals -- References -- Index

Approximations for the Thermodynamic and Transport Properties of High-temperature Air

Approximations for the Thermodynamic and Transport Properties of High-temperature Air PDF Author: C. Frederick Hansen
Publisher:
ISBN:
Category : Air
Languages : en
Pages : 724

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Book Description
The thermodynamic and transport prorerties of high-temperature air are found in closed form starting from approximate partition functions for the major components in air and neglecting all minor components. The compressibility, energy, entropy, the specific heats, the speed of sound, the coefficients of viscosity and of thermal conductivity, and the Prandtl numbers for air are tabulated from 500 degrees to 15,000 degrees K over a range of pressure from 0.0001 to 100 atmospheres. The enthalpy of air and the mol fractions of the major components of air can easily be found from the tabulated values for compressibility and energy. It is predicted that the Prandtl number for fully ionized air will become small compared to unity, the order of 0.01, and this implies that boundary layers in such flow will be very transparent to heat flux.

Chemical Kinetics in Combustion and Reactive Flows: Modeling Tools and Applications

Chemical Kinetics in Combustion and Reactive Flows: Modeling Tools and Applications PDF Author: V. I. Naoumov
Publisher: Cambridge University Press
ISBN: 1108427049
Category : Science
Languages : en
Pages : 449

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Book Description
Introduces advanced mathematical tools for the modeling, simulation, and analysis of chemical non-equilibrium phenomena in combustion and flows, following a detailed explanation of the basics of thermodynamics and chemical kinetics of reactive mixtures. Researchers, practitioners, lecturers, and graduate students will find this work valuable.

Selecting Two-temperature Chemical Reaction Models for Non-equilibrium Flows

Selecting Two-temperature Chemical Reaction Models for Non-equilibrium Flows PDF Author: A. L. Sergievskaya
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


High Temperature Gas Dynamics

High Temperature Gas Dynamics PDF Author: Tarit K. Bose
Publisher: Springer Science & Business Media
ISBN: 3662077620
Category : Science
Languages : en
Pages : 363

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Book Description
A class-tested primer for students, scientists and engineers who would like to have a basic understanding of the physics and the behaviour of high-temperature gases. It is a valuable tool for astrophysicists as well. The first chapters treat the basic principles of quantum and statistical mechanics and how to derive thermophysical properties from them. Special topics are included that are rarely found in other textbooks, such as the thermophysical and transport properties of multi-temperature gases and a novel method to compute radiative transfer.

Hypersonic and High Temperature Gas Dynamics

Hypersonic and High Temperature Gas Dynamics PDF Author: John David Anderson
Publisher: AIAA
ISBN: 9781563474590
Category : Science
Languages : en
Pages : 710

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Book Description
This book is a self-contained text for those students and readers interested in learning hypersonic flow and high-temperature gas dynamics. It assumes no prior familiarity with either subject on the part of the reader. If you have never studied hypersonic and/or high-temperature gas dynamics before, and if you have never worked extensively in the area, then this book is for you. On the other hand, if you have worked and/or are working in these areas, and you want a cohesive presentation of the fundamentals, a development of important theory and techniques, a discussion of the salient results with emphasis on the physical aspects, and a presentation of modern thinking in these areas, then this book is also for you. In other words, this book is designed for two roles: 1) as an effective classroom text that can be used with ease by the instructor, and understood with ease by the student; and 2) as a viable, professional working tool for engineers, scientists, and managers who have any contact in their jobs with hypersonic and/or high-temperature flow.

Nonequilibrium Hypersonic Aerothermodynamics

Nonequilibrium Hypersonic Aerothermodynamics PDF Author: Chul Park
Publisher: Wiley-Interscience
ISBN: 9780471510932
Category : Technology & Engineering
Languages : en
Pages : 358

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Book Description
Describes the interaction between the fluid flow and the high temperature phenomena experienced in the hypersonic regime. Presents the principles of aerothermodynamics in nonequilibrium hypersonic flow regimes, covering theory, application and surface phenomena. Chapters 1 to 5 explain how to develop computational fluid dynamics (CFD) techniques for computing nonequilibrium, chemically reacting flows in the hypersonic regime. Chapters 6 to 8 examine the important physical phenomena that occur in hypersonic flows. The final chapter is devoted to the nonequilibrium kinetics at solid surfaces, which is useful in addressing the problems of the nonequilibrium gas-surface interactions that arise in hypersonic flight.

New Generalized Thermo-fluid Dynamic Equations for Perfect, Real Gas, High Temperature and Non-equilibrium Flows

New Generalized Thermo-fluid Dynamic Equations for Perfect, Real Gas, High Temperature and Non-equilibrium Flows PDF Author: Endwell O. Daso
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description