Macroscopic transport equations for rarefied gas flows approximation methods in kinetic theory /
"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...
| Main Author: | Struchtrup, Henning. |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin :
Springer,
©2005.
Berlin : [2005] |
| Physical Description: |
1 online resource (xiv, 258 pages) : 35 figure. |
| Series: |
Interaction of mechanics and mathematics series.
|
| Subjects: |
| Summary: |
"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."--Jacket. |
|---|---|
| Item Description: |
Includes bibliographical references (pages 247-254) and index. "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."--Jacket. 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. English. University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (xiv, 258 pages) : 35 figure. |
| Bibliography: |
Includes bibliographical references (pages 247-254) and index. |
| ISBN: |
9783540323860 3540323864 3540245421 9783540245421 |
| Access: |
University staff and students only. Requires University Computer Account login off-campus. |