Macroscopic Transport Equations for Rarefied Gas Flows : Approximation Methods in Kinetic Theory
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 descri...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2005.
Cham : Springer Nature |
| Col·lecció: | Interaction of Mechanics and Mathematics
|
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Macroscopic Transport Equations for Rarefied Gas Flows, Texte imprimé, 9783540807605 • Macroscopic Transport Equations for Rarefied Gas Flows, Texte imprimé, 9783540245421 |
| LEADER | 03492nam a22003257a 4500 | ||
|---|---|---|---|
| 001 | 948330 | ||
| 008 | 080409s2005 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN12309190X | ||
| 020 | |a 9783540323860 | ||
| 041 | 0 | |a eng | |
| 082 | |a 621.4021 | ||
| 100 | 1 | |a Struchtrup, Henning. | |
| 245 | 1 | 0 | |a Macroscopic Transport Equations for Rarefied Gas Flows : |b Approximation Methods in Kinetic Theory |c by Henning Struchtrup. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 490 | 0 | |a Interaction of Mechanics and Mathematics |x 1860-6253 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 776 | 0 | |t Macroscopic Transport Equations for Rarefied Gas Flows |b Texte imprimé |z 9783540807605 | |
| 776 | 0 | |t Macroscopic Transport Equations for Rarefied Gas Flows |b Texte imprimé |z 9783540245421 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-32386-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-B78CKQDM-5 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:74804292X |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/3-540-32386-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751494046 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/3-540-32386-4 |z Accès INSA CVL | |
| 997 | |0 948330 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||