Yoshio Sone - Böcker

This book provides a thoroughly assessible and lucid overview of the different aspects, models and methodology of the kinetic theory modeling process. The study of fluid dynamics is a central theme in modern applied mathematics. It is used to model a vast range of physical phenomena and plays a central role in science and engineering. This book provides a comprehensive description of the relationship between kinetic theory and fluid dynamics. Equations used in fluid dynamics and their associated boundary conditions that consider the weak effect of gas rarefaction are derived from the Boltzmann system by systematic asymptotic analysis. Problems are presented so that they can easily be applied to other practical problems. The systems are applied to various interesting physical problems such as flows induced by temperature fields as well as evaporation and condensation problems.

This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The progress in the field over the last thirty years has greatly enhanced the original theory and has stimulated interesting and critical gas dynamic phenomena and problems. 'Molecular Gas Dynamics,' 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. After presenting various simple flows, such as unidirectional or quasi-unidirectional flows, and flows around a sphere, the author discusses additional topics, including: * flows induced by temperature fields, which are typical in rarefied gases * flows with evaporation and condensation * bifurcation of flows in rarefied gases * the ghost effect in gases in the continuum limitDiscovery of the ghost effect has made molecular gas dynamics indispensable to the study of a gas in the continuum limit, which is traditionally treated by classical fluid dynamics.In this work, the ghost effect and non-Navier-Stokes effects are demonstrated for typical examples. Benard and Taylor-Couette problems in the context of a new framework. A new type of ghost effect is also discussed, and a long-standing problem bifurcation of the plane Couette flow in classical fluid dynamics is resolved. The book is useful for those working in different communities where kinetic theory or fluid dynamics is important: graduate students, researchers, and practitioners in theoretical physics, applied mathematics, and various branches of engineering. The work may be used as a self-study reference or as a textbook in graduate-level courses in fluid dynamics, gas dynamics, molecular gas dynamics, kinetic theory, and applied mathematics.