Autor: Henning Struchtrup
ISBN-13: 9783540245421
Einband: Book
Seiten: 258
Gewicht: 427 g
Format: 238x157x17 mm
Sprache: Englisch

Macroscopic Transport Equation for Rarefied Gas Flows

Interaction of Mechanics and Mathematics
Approximative Methods in Kinetic Theory
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Introductory textbook presenting the development of continuum models for microscale effects in a concise form - mathematically sound, but as simple as possible
Basic quantities and definitions.- The Boltzmann equation and its properties.- The Chapman-Enskog method.- Moment equations.- Grad's moment method.- Regularization of Grad equations.- Order of magnitude approach.- Macroscopic transport equations for rarefied gas flows.- Stability and dispersion.- Shock structures.- Boundary value problems.
The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description. This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems.
The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow.

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Autor: Henning Struchtrup
ISBN-13 :: 9783540245421
ISBN: 3540245421
Erscheinungsjahr: 15.06.2005
Verlag: Springer-Verlag GmbH
Gewicht: 427g
Seiten: 258
Sprache: Englisch
Auflage 05000, 2005
Sonstiges: Taschenbuch, 238x157x17 mm, 35 schwarz-weiße Abbildungen, Bibliographie