Molecular Gas Dynamics (eBook)

Theory, Techniques, and Applications

Yoshio Sone (Autor)

eBook Download: PDF

2007 | 2007
XIII, 658 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4573-1 (ISBN)

Infos

This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier-Stokes effects are demonstrated for typical examples-Bénard and Taylor-Couette problems-in the context of a new framework. A new type of ghost effect is also discussed.

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Molecular Gas Dynamics originates from lectures and seminars delivered by the author at various universities and institutions worldwide. These materials are supplemented and arranged in a form appropriate to a graduate textbook on molecular gas dynamics, or gas dynamics on the basis of kinetic theory. The book provides an up-to-date description of the basic theory of molecular gas dynamics and its various applications giving interesting and important gas - namic phenomena. The progress of molecular gas dynamics in the last forty years has greatly enhanced the contents of the basic theory and provided inf- mation on various interesting and important gas dynamic problems. This has made it possible to compile a new graduate textbook on molecular gas dyn- ics. The present book re?ects these developments providing working knowledge: theory,techniques,andtypicalphenomenainarare?edgas(low-densityand- cro ?ows), for future theoretical development and applications. The book begins with a brief presentation of the fundamental properties of the Boltzmann equation and a summary of notation used globally in subsequent chapters of the book. A full explanation of the fundamental properties is given in Appendix A. The author hopes that readers of various backgrounds can proceed quickly to the main subject, with reference to Appendix A if necessary.

Inhalt

Contents 6
Preface 12
Chapter 1 Boltzmann Equation 15
Chapter 2 Highly Rarefied Gas: Free Molecular Gas and Its Correction 42
Chapter 3 Slightly Rare.ed Gas: Asymptotic Theory of the Boltzmann System for Small Knudsen Numbers 86
Chapter 4 Simple Flows 181
Chapter 5 Flows Induced by Temperature Fields 245
Chapter 6 Flows with Evaporation and Condensation 293
Chapter 7 Bifurcation in the Half-Space Problem of Evaporation and Condensation 367
Chapter 8 Ghost Effect and Bifurcation I: Benard and Taylor–Couette Problems 391
Chapter 9 Ghost Effect and Bifurcation II: Ghost Effect of Infinitesimal Curvature and Bifurcation of the Plane Couette Flow 461
Appendix A Supplement to the Boltzmann Equation 493
Appendix B Methods of Solution 582
Bibliography 630
List of Symbols 652
Index 656

Produkt-Details

• Erscheint lt. Verlag: 16.10.2007
• Reihe/Serie: Modeling and Simulation in Science, Engineering and Technology
• Reihe/Serie: Modeling and Simulation in Science, Engineering and Technology
• Zusatzinfo: XIV, 658 p.
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
• Themenwelt: Technik
• Schlagworte: Bénard problem • Boltzmann equation • Couette Flow • direct simulation Monte Carlo (DSMC) • evaporation and condensation • fluid- and aerodynamics • Fluid Dynamics • ghost effect • infinitesimal curvature effect • molecular gas dynamics • non-Navier–Stokes effects • rarefied gases • Taylor–Couette problem • theoretical physics
• ISBN-10: 0-8176-4573-X / 081764573X
• ISBN-13: 978-0-8176-4573-1 / 9780817645731