Macroscopic Transport Equations for Rarefied Gas Flows Approximation Methods in Kinetic Theory /

• Main Author: Struchtrup, Henning (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Interaction of Mechanics and Mathematics,
• Subjects: Engineering.; Applied mathematics.; Engineering mathematics.; Thermodynamics.; Statistical physics.; Dynamical systems.; Heat engineering.; Heat transfer.; Mass transfer.; Engineering Thermodynamics, Heat and Mass Transfer.; Applications of Mathematics.; Statistical Physics, Dynamical Systems and Complexity.; Engineering, general.

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...

Table of Contents:

• 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.