Macroscopic Transport Equations for Rarefied Gas Flows: Approximation Methods in Kinetic Theory - Interaction of Mechanics and Mathematics - Henning Struchtrup - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540245421 - June 15, 2005
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Henning Struchtrup
Macroscopic Transport Equations for Rarefied Gas Flows: Approximation Methods in Kinetic Theory - Interaction of Mechanics and Mathematics 2005 edition

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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.

258 pages, 35 black & white illustrations, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 15, 2005
ISBN13 9783540245421
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 258
Dimensions 259 × 157 × 17 mm   ·   385 g
Language English   German  

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