Overview
- Introductory textbook presenting the development of continuum models for microscale effects in a concise form – mathematically sound, but as simple as possible
- Includes supplementary material: sn.pub/extras
Part of the book series: Interaction of Mechanics and Mathematics (IMM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (12 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Macroscopic Transport Equations for Rarefied Gas Flows
Book Subtitle: Approximation Methods in Kinetic Theory
Authors: Henning Struchtrup
Series Title: Interaction of Mechanics and Mathematics
DOI: https://doi.org/10.1007/3-540-32386-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-24542-1Published: 15 June 2005
eBook ISBN: 978-3-540-32386-0Published: 15 June 2006
Series ISSN: 1860-6245
Series E-ISSN: 1860-6253
Edition Number: 1
Number of Pages: XIV, 258
Number of Illustrations: 35 b/w illustrations
Topics: Engineering Thermodynamics, Heat and Mass Transfer, Applications of Mathematics, Complex Systems, Thermodynamics, Engineering, general, Statistical Physics and Dynamical Systems