Higher-order Continuum Approximation for Rarefied Gases

Details Higher-order Continuum Approximation for Rarefied Gases Higher-order Continuum Approximation for Rarefied Gases

2003-01-12

arxiv.org/abs/physics/0301021v2

Physics of Fluids 15 (11), 3558-3567 (2003)

Physics

Fluid Dynamics

20 pages, 2 figures, RevTeX 4 macros

Scientific paper

10.1063/1.1613280

The Hilbert-Chapman-Enskog expansion of the kinetic equations in mean flight times is believed to be asymptotic rather than convergent. It is therefore inadvisable to use lower order results to simplify the current approximation as is done in the traditional Chapman-Enskog procedure, since that is an iterative method. By avoiding such recycling of lower order results, one obtains macroscopic equations that are asymptotically equivalent to the ones found in the Chapman-Enskog approach. The new equations contain higher order terms that are discarded in the Chapman-Enskog method. These make a significant impact on the results for such problems as ultrasound propagation. In this paper, it is shown that these results turn out well with relatively little complication when the expansions are carried to second order in the mean free time, for the example of the relaxation or BGK model of kinetic theory.

Affiliated with

Also associated with

No associations

Rating

Higher-order Continuum Approximation for Rarefied Gases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Higher-order Continuum Approximation for Rarefied Gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-order Continuum Approximation for Rarefied Gases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-24500