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.
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Dura. Zustand: New. Zustand des Schutzumschlags: Nuevo. No Aplica (illustrator). 0. 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. Ambiguities in this relationship are clarified, and the incompletesess of classical fluid dynamics in describing the behavior of a gas in the continuum limit- recently reported as the ghost effect- is also discussed. The approach used in this work engages an audience of theoretical physicists, applied mathematicians, and engineers. By a systematic asymptotic analysis, fluid-dynamic-type equiations and their associated boundary conditions that take into account the weak effect of gas rarefaction are derived from the Boltzmann system. Comprehensive information on the Knudsen-layer correction is also obtained. Equations and their boundary conditions are carefully classified depending on the physiscally interesting phenomena, including flows induced by temperature fields, evaporation and condensation problems, examples of the ghost effect, and bifurcation of flows. 680 gr. Libro. Bestandsnummer des Verkäufers 9780817642846LEA45962
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 368 pp. Englisch. Bestandsnummer des Verkäufers 9780817642846
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Zustand: New. Describes the relationship and connections between kinetic theory and fluid dynamics, mainly for a time-independent problem in a general domain. This work presents applications to various physically interesting phenomena, including flows induced by temperature fields, evaporation and condensation problems, and examples of the ghost effect. Series: Modeling and Simulation in Science, Engineering and Technology. Num Pages: 364 pages, 7 black & white tables, biography. BIC Classification: PDE; PHDF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 20. Weight in Grams: 691. . 2002. Hardback. . . . . Bestandsnummer des Verkäufers V9780817642846
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9780817642846
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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Provides a comprehensive description of the connections betweenkinetic theory and fluid dynamics. Presented are applications andmodels of physical problems such as flows induced by temperaturefields, evaporation and condensation problems, examples of the ghosteffect, and bifurcation of flows. The presentation is geared towardtheoretical physicists, applied mathematicians, and engineers; thusthe monograph serves as a bridge for those working in differentcommunities where kinetic theory is important. Classroom text forgraduate students, or self-study resource for researchers andpractitioners.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 368 pp. Englisch. Bestandsnummer des Verkäufers 9780817642846
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