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).
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:
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 255 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.
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:
Download or read book Nonequilibrium Flows written by Peter P. Wegener and published by . This book was released on 1960 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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.
Download or read book Nonequilibrium Flows written by Wegener and published by . This book was released on 1986-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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
Download or read book Computer Program for One dimensional Nonequilibrium Reacting Gas Flow written by H. S. Dresser and published by . This book was released on 1967 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program has been developed for one-dimensional nonequilibrium reacting gas flow. The program is written in Fortran IV and is compatible with the IBM 7044/7094 direct coupled digital computer system at Wright-Patterson Air Force Base, Ohio. In addition to nonequilibrium chemistry, the program includes nonequilibrium vibrational and electronic energy relaxation and coupling effects between these energy modes and the chemistry. The formulation is based on a one-dimensional flow matching either a prescribed pressure or area variation along a streamtube. Thermodynamic properties are computed by assuming an ideal gas mixture and the equilibration of translational and rotational temperatures. The internal energy modes, rotation, vibration, and electronic excitation, are considered uncoupled; and a rigid rotator, cut off simple harmonic oscillator, independent of the electronic state, is assumed. Excitation of vibrational and electronic energies are treated similarly with terms which account for relaxation and chemical reactions. The effects of nonequilibrium vibrational and electronic states on chemical rates are included in the coupling analysis. The vibrational relaxation time constants were obtained from the Millikan and White data while the electronic relaxation time constants were determined for nitrogen from an analysis of existing shock tube radiation measurements. The computer program was used to solve for the nonequilibrium flow in a hypersonic nozzle and for eight streamlines in the inviscid flow field over a spherically blunted nine-degree semiapex angle cone at zero angle of attack. (Author).
Download or read book Method for Calculation of the One dimensional Nonequilibrium Flow of a General Gas Mixture Through a Hypersonic Nozzle written by George Emanuel and published by . This book was released on 1962 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work described is a continuation of that reported previously in AEDC-TN-61-65 (calculation of the one-dimensional nonequilibrium flow of air through a hypersonic nozzle). In particular, a method is presented for the exact numerical calculation of the one-dimensional nonequilibrium flow of a general gas mixture through a converging-diverging nozzle. General equations are given for a mixture of perfect gases with an arbitrary number of species undergoing an arbitrary number of chemical and vibrational rate processes. An inexact but accurate method, similar in form to the method employed in the nonequilibrium case, is also given for calculating the corresponding one-dimensional equilibrium flow. The numerical method of solution applicable to both cases is described, including a simple procedure for starting the nonequilibrium calculations from an equilibrium condition and an improved method for controlling integration step size. The factors that affect over-all computation time are discussed. A computer program for an IBM 7090 has been written for the general gas mixture. Specific calculations are reported for a model of air consisting of O, N, NO, N2, and O2 and including eight chemical reactions plus the vibrational processes of the three diatomic species.
Download or read book Effects of Two Vibration dissociation Coupling Models on Nonequilibrium Hypersonic Flow of Nitrogen Over a Wedge written by Fred R. DeJarnette and published by . This book was released on 1966 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonequilibrium Flows written by Peter P. Wegener and published by . This book was released on 1969 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Predicting Radiative Heat Transfer in Thermochemical Nonequilibrium Flow Fields written by Lin Hartung Chambers and published by . This book was released on 1994 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The theory for radiation emission, absorption, and transfer in a thermochemical nonequilibrium flow is presented. The expression developed reduce correctly to the limit at equilibrium. To implement the theory in a practical computer code, some approximations are used, particularly the smearing of molecular radiation. Details of these approximations are presented and helpful information is included concerning the use of the computer code. This user's manual should benefit both occasional users of the Langley Optimized RAdiative Nonequilibrium (LORAN) code and those who wish to use it to experiment with improved models or properties.
Download or read book Entropy Changes in Nonequilibrium Flows written by Cornell Aeronautical Laboratory and published by . This book was released on 1962 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
