Macroscopic Transport Equations for Rarefied Gas Flows: Approximation Methods in Kinetic Theory (Interaction of Mechanics and Mathematics)
Language: English
Published by Springer, 2005
Series: Book 2 of 11 - Interaction of Mechanics and Mathematics
- Softcover
- New
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- Title
- Macroscopic Transport Equations for Rarefied Gas Flows: Approximation Methods in Kinetic Theory (Interaction of Mechanics and Mathematics)
- Author
- Struchtrup, Henning
- Publisher
- Springer
- Publication year
- 2005
- Condition
- New
- Binding
- paperback
- Language
- English
- ISBN 10
- 3540245421
- ISBN 13
- 9783540245421
- Item weight
- 30 ounces
- Dimensions
- 6x0x9
- Series
- Book 2 of 11: Interaction of Mechanics and Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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