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.
- Book Title Macroscopic Transport Equations for Rarefied Gas Flows
- Book Subtitle Approximation Methods in Kinetic Theory
- Series Title Interaction of Mechanics and Mathematics
- DOI https://doi.org/10.1007/3-540-32386-4
- Copyright Information Springer-Verlag Berlin Heidelberg 2005
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Engineering Engineering (R0)
- Softcover ISBN 978-3-540-24542-1
- eBook ISBN 978-3-540-32386-0
- Series ISSN 1860-6245
- Series E-ISSN 1860-6253
- Edition Number 1
- Number of Pages XIV, 258
- Number of Illustrations 35 b/w illustrations, 0 illustrations in colour
Engineering Thermodynamics, Heat and Mass Transfer
Applications of Mathematics
Statistical Physics and Dynamical Systems
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