Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401008663
Total Pages : 305 pages
Book Rating : 4.62/5 ( download)

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Book Synopsis Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by : V.V. Aristov

Download or read book Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows written by V.V. Aristov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.

Application of Dorodnitsyn's Integral Method to Nonequilibrium Flows Over Pointed Bodies

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.60/5 ( download)

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Book Synopsis Application of Dorodnitsyn's Integral Method to Nonequilibrium Flows Over Pointed Bodies by : Jerry Curtis South

Download or read book Application of Dorodnitsyn's Integral Method to Nonequilibrium Flows Over Pointed Bodies written by Jerry Curtis South and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Similitude for Normal Shock Waves in Nonequilibrium Flows

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ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.34/5 ( download)

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Book Synopsis Similitude for Normal Shock Waves in Nonequilibrium Flows by : Ralph E. Thomas

Download or read book Similitude for Normal Shock Waves in Nonequilibrium Flows written by Ralph E. Thomas and published by . This book was released on 1965 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy. (Author).

Non-Equilibrium Reacting Gas Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 3642013902
Total Pages : 252 pages
Book Rating : 4.04/5 ( download)

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Book Synopsis Non-Equilibrium Reacting Gas Flows by : Ekaterina Nagnibeda

Download or read book Non-Equilibrium Reacting Gas Flows written by Ekaterina Nagnibeda and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Flows

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ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.87/5 ( download)

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Book Synopsis Nonequilibrium Flows by : Peter P. Wegener

Download or read book Nonequilibrium Flows written by Peter P. Wegener and published by . This book was released on 1969 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonequilibrium Condensation in High-speed Gas Flows

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Publisher : CRC Press
ISBN 13 : 9782881246760
Total Pages : 320 pages
Book Rating : 4.61/5 ( download)

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Book Synopsis Nonequilibrium Condensation in High-speed Gas Flows by : Vladimir Nikolaevich Gorbunov

Download or read book Nonequilibrium Condensation in High-speed Gas Flows written by Vladimir Nikolaevich Gorbunov and published by CRC Press. This book was released on 1989 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation of the 1984 Russian work. Nonequlibrium condensation is an important aspect of weather forecasting, aerosol formation, and the design of jet propulsion engines, steam turbines and nuclear reactors. It has recently taken on a new significance with the development of technologies such as the production of fine powders, cluster spraying, the development of laser media and isotope separation. This volume presents the general theory of condensation in high-speed gas flows, and the new theoretical, experimental and numerical methods necessary for solving the partial differential equations governing the flows. Annotation copyrighted by Book News, Inc., Portland, OR

A Thin-shock-layer Solution for Nonequilibrium, Inviscid Hypersonic Flows in Earth, Martian, and Venusian Atmospheres

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ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.18/5 ( download)

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Book Synopsis A Thin-shock-layer Solution for Nonequilibrium, Inviscid Hypersonic Flows in Earth, Martian, and Venusian Atmospheres by : William L. Gose

Download or read book A Thin-shock-layer Solution for Nonequilibrium, Inviscid Hypersonic Flows in Earth, Martian, and Venusian Atmospheres written by William L. Gose and published by . This book was released on 1971 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate inverse solution is presented for the nonequilibrium flow in the inviscid shock layer about a vehicle in hypersonic flight. The method is based upon a thin-shock-layer approximation and has the advantage of being applicable to both subsonic and supersonic regions of the shock layer. The relative simplicity of the method makes it ideally suited for programming on a digital computer with a significant reduction in storage capacity and computing time required by other more exact methods. Comparison of nonequilibrium solutions for an air mixture obtained by the present method is made with solutions obtained by two other methods. Additional cases are presented for entry of spherical nose cones into representative Venusian and Martian atmospheres. A digital computer program written in FORTRAN language is presented that permits an arbitrary gas mixture to be employed in the solution. The effects of vibration, dissociation, recombination, electronic excitation, and ionization are included in the program.

Characteristic Calculation of Non-equilibrium Flows

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.73/5 ( download)

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Book Synopsis Characteristic Calculation of Non-equilibrium Flows by : R. Sedney

Download or read book Characteristic Calculation of Non-equilibrium Flows written by R. Sedney and published by . This book was released on 1962 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Studies of Supersonic Two-dimensional and Axisymmetric Nonequilibrium Flow, Including Calculations of Flow Through a Nozzle

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.09/5 ( download)

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Book Synopsis Theoretical Studies of Supersonic Two-dimensional and Axisymmetric Nonequilibrium Flow, Including Calculations of Flow Through a Nozzle by : James Joe Der

Download or read book Theoretical Studies of Supersonic Two-dimensional and Axisymmetric Nonequilibrium Flow, Including Calculations of Flow Through a Nozzle written by James Joe Der and published by . This book was released on 1963 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical and vibrational nonequilibrium phenomena in steady inviscid flow fields are studied by the analysis of flow past curved boundaries. Possible alternative choices of the state variables to be used are considered. General features of the nonequilibrium flow are studied by examination of the mathematical properties of the nonlinear flow equations. An axisymmetric nonequilibrium flow of air through a supersonic nozzle is analyzed by means of numerical computations. The coupling effects between nonuniformity (across a nozzle section) and nonequilibrium, not taken into account in the quasi-one-dimensional flow approximation, are revealed by the present analysis.

Nonequilibrium Flows

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ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis Nonequilibrium Flows by : Peter P. Wegener

Download or read book Nonequilibrium Flows written by Peter P. Wegener and published by . This book was released on 1969 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: