TITLE

A moment method for low speed microflows

AUTHOR(S)
Frezzotti, Aldo; Gibelli, Livio; Franzelli, Benedetta
PUB. DATE
December 2009
SOURCE
Continuum Mechanics & Thermodynamics;Dec2009, Vol. 21 Issue 6, p495
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A moment method is proposed to study slow rarefied flows by the linearized Bhatnagar-Gross-Krook (BGK) kinetic model equation. In order to obtain a consistent treatment of boundary conditions, the velocity distribution function is expanded in orthogonal polynomials which are not continuous in the velocity space. The solution of the kinetic equation is then reduced to the solution of a system of differential equations for the expansion coefficients. For one-dimensional problems, the system of moment equations can be easily recast in an hydrodynamic-like form. The method here is applied to isothermal steady boundary driven flows, i.e. the one-dimensional Couette and Poiseuille flows and the two-dimensional cavity flow. The results show that it is possible to obtain excellent approximations of the (virtually) exact solutions of the kinetic model equation by using a small number of moments in a wide range of Knudsen numbers and suggest that it might be possible to obtain a sufficiently accurate description of slow rarefied flows by a small number of moment equations.
ACCESSION #
47129194

 

Related Articles

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics