Macroscopic Transport Equations for Rarefied Gas Flows: by Henning Struchtrup PDF

By Henning Struchtrup

ISBN-10: 3540245421

ISBN-13: 9783540245421

The renowned delivery legislation of Navier-Stokes and Fourier fail for the simulation of strategies on lengthscales within the order of the suggest loose direction of a particle that's while the Knudsen quantity isn't really sufficiently small. therefore, the right kind simulation of flows in rarefied gases calls for a extra unique description.



This ebook discusses classical and sleek how you can derive macroscopic delivery equations for rarefied gases from the Boltzmann equation, for small and average Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier point. the most tools mentioned are the classical Chapman-Enskog and Grad ways, in addition to the hot order of importance strategy, which avoids the short-comings of the classical equipment, yet keeps their merits. The kin among many of the equipment are rigorously tested, and the ensuing equations are in comparison and proven for numerous general problems.



The publication develops the subject ranging from the fundamental description of a fantastic fuel, over the derivation of the Boltzmann equation, in the direction of many of the tools for deriving macroscopic shipping equations, and the attempt difficulties which come with balance of the equations, surprise waves, and Couette flow.

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Read e-book online Macroscopic Transport Equations for Rarefied Gas Flows: PDF

The well-known shipping legislation of Navier-Stokes and Fourier fail for the simulation of methods on lengthscales within the order of the suggest loose direction of a particle that's whilst the Knudsen quantity isn't sufficiently small. therefore, the right kind simulation of flows in rarefied gases calls for a extra distinctive description.

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Macroscopic Transport Equations for Rarefied Gas Flows: Approximation Methods in Kinetic Theory (Interaction of Mechanics and Mathematics) by Henning Struchtrup


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