Kinetic Theory and Fluid Dynamics (Paperback, Softcover reprint of the original 1st ed. 2002)

This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Modeling and Simulation in Science, Engineering and Technology
Release date:	October 2012
First published:	2002
Authors:	Yoshio Sone
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	353
Edition:	Softcover reprint of the original 1st ed. 2002
ISBN-13:	978-1-4612-6594-8
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of fluids > General
LSN:	1-4612-6594-0
Barcode:	9781461265948

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