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Book Collision Integrals for a Modified Stockmayer Potential

Download or read book Collision Integrals for a Modified Stockmayer Potential written by Eugene C. Itean and published by . This book was released on 1961 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision integrals were calculated for the modified Stockmayer potential E(r) = 4 epsilon [(sigma/r)(exp 12) - (sigma/r)(exp 6) - delta(sigma/r)(exp 3)], which may be applied to polar molecules. It was assumed that the colliding molecules maintain their same relative orientation during the encounter. Calculations of the integrals were made for a large reduced temperature range and for a range of delta from 0 to 10. The results agree with other work on non-polar interactions (delta = 0). However for polar interactions the only previously published calculations have been found to be in error and do not agree with this work. Assuming that the molecules interact as alined dipoles of maximum attraction, values for sigma, epsilon, and delta were determined for various polar molecules by a least squares fit of experimental viscosity data. Satisfactory results were obtained for slightly polar molecules, but not for more highly polar molecules such as NH3 or H2O. Therefore, it appears that the assumed model of molecules interacting at all times as alined dipoles of maximum attraction is not satisfactory for estimating trans- port properties of polar molecules.

Book Collision Integrals and High Temperature Transport Properties for N N  O O  and N O

Download or read book Collision Integrals and High Temperature Transport Properties for N N O O and N O written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-23 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate collision integrals are reported for the interactions of N(4 S 0) + N(4 S 0), O(3 P), and N(4 S 0) + O(3 P). These are computed from a semiclassical formulation of the scattering using the best available representations of all of the potential energy curves needed to describe the collisions. Experimental RKR curves and other accurate measured data are used where available; the results of accurate ab initio electronic structure calculations are used to determine the remaining potential curves. The high-lying states are found to give the largest contributions to the collision cross sections. The nine collision integrals, needed to determine transport properties to second order, are tabulated for translational temperatures in the range 250 K to 100,000 K. These results are intended to reduce the uncertainty in future predictions of the transport properties of nonequilibrium air, particularly at high temperatures. The viscosity, thermal conductivity, diffusion coefficient, and thermal diffusion factor for a gas composed of nitrogen and oxygen atoms in thermal equilibrium are calculated. It was found that the second order contribution to the transport properties is small. Graphs of these transport properties for various mixture ratios are presented for temperatures in the range 5000 to 15000 K. Levin, E. and Partridge, Harry and Stallcop, J. R. Ames Research Center NCC2-387

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

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 2001-01-31 with total page 328 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.

Book Ionospheres

    Book Details:
  • Author : Robert Schunk
  • Publisher : Cambridge University Press
  • Release : 2009-08-20
  • ISBN : 0521877067
  • Pages : 641 pages

Download or read book Ionospheres written by Robert Schunk and published by Cambridge University Press. This book was released on 2009-08-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the physical, plasma and chemical processes controlling ionospheres, upper atmospheres and exospheres, for researchers and graduates.

Book Tables of Collision Integrals for the  m 6  Potential for Ten Values of M

Download or read book Tables of Collision Integrals for the m 6 Potential for Ten Values of M written by Max Klein and published by . This book was released on 1968 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of collsion integrals are presented for the (m, 6) potential function for 87 reduced temperatures for each of 10 values of m. The exponents m used were m = 9, 12, 15, 18, 21, 24, 30, 50, and 75. Comparisons are made with five other calculations for the case m = 12. The accuracy of the calculation appears to be at least several parts in 10,000. (Author).

Book Collision Integrals for Nonelastic Processes in Plasma Kinetic Theory

Download or read book Collision Integrals for Nonelastic Processes in Plasma Kinetic Theory written by John R. Viegas and published by . This book was released on 1969 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision integrals for nonelastic processes in plasma kinetic theory.

Book Ionospheres

    Book Details:
  • Author : Robert W. Schunk
  • Publisher : Cambridge University Press
  • Release : 2000-06-26
  • ISBN : 0521632374
  • Pages : 572 pages

Download or read book Ionospheres written by Robert W. Schunk and published by Cambridge University Press. This book was released on 2000-06-26 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive description of physical, plasma and chemical processes controlling ionospheres for scientists and graduate students.

Book NASA Technical Note

Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Collision Integral Analysis of Elastic Encounter Rates Based Upon Nuclear Magnetic Resonance Rotational Relaxation Measurements

Download or read book A Collision Integral Analysis of Elastic Encounter Rates Based Upon Nuclear Magnetic Resonance Rotational Relaxation Measurements written by Thomas Stevens Thacher and published by . This book was released on 1979 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NBS Technical Note

Download or read book NBS Technical Note written by and published by . This book was released on 1972 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Thermophysical Properties of Lithium Hydride  Deuteride and Tritide

Download or read book Thermophysical Properties of Lithium Hydride Deuteride and Tritide written by E.E. Shpil'rain and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonequilibrium Gas Dynamics and Molecular Simulation

Download or read book Nonequilibrium Gas Dynamics and Molecular Simulation written by Iain D. Boyd and published by Cambridge University Press. This book was released on 2017-03-23 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Lectures On Thermodynamics And Statistical Mechanics   Xix Winter Meeting On Statistical Physics

Download or read book Lectures On Thermodynamics And Statistical Mechanics Xix Winter Meeting On Statistical Physics written by M Lopez De Haro and published by World Scientific. This book was released on 1990-08-23 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings provides an updated glance on recent developments in statistical physics. Contributions include thermal behavior in complex liquids, dynamical instabilities in colloidal and lattice gas models, transport and relaxation phenomena near the glass transition, as well as studies in fluctuations and kinetic theories of fluids far from equilibrium.

Book Kinetic Processes in Gases and Plasmas

Download or read book Kinetic Processes in Gases and Plasmas written by A Hochstim and published by Elsevier. This book was released on 2012-12-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetic Processes in Gases and Plasmas provides a survey of studies on transport and chemical kinetic processes in high temperature gases and plasmas. The book is concerned with conditions produced by the interaction of an object with the atmosphere at hypersonic velocities. The text also provides a foundation for the flow field equations which include chemical reactions and other transport processes, and to present in some detail the microscopic considerations underlying these calculations. Chapters are devoted to the discussion of topics such as the molecular theory of transport equations; transport processes in ionized gases; and inelastic energy transfer processes and chemical kinetics. Aerospace engineers, physicists, chemists, and astrophysicists will find the book a good reference material.