论文信息 - On computing the Chapman-Enskog and Burnett functions [rapid communication]

On computing the Chapman-Enskog and Burnett functions [rapid communication]

An expansion and projection technique based on Legendre polynomials is used to solve, in an efficient and accurate way, the Chapman-Enskog equations for viscosity and heat transfer and to compute the Burnett functions required, for example, for Poiseuille-flow problems based on rigid-sphere collisions and the linearized Boltzmann equation.

C. E. Siewert | P. Rodrigues | Liliane Basso Barichello

[1] Some comments on modeling the linearized Boltzmann equation , 2002 .

[2] C. E. Siewert. The linearized Boltzmann equation: a concise and accurate solution of the temperature-jump problem , 2003 .

[3] C. E. Siewert,et al. The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems , 2003 .

[4] Z. Alterman,et al. SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION. , 1957, Proceedings of the National Academy of Sciences of the United States of America.

[5] C. Siewert,et al. Some comments on modeling the linearized Boltzmann equation , 2003 .

[6] Poiseuille gas flow in the transition regime I. Formulation of the general theory , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7] Yoshio Sone,et al. Analysis of thermal stress slip flow and negative thermophoresis using the Boltzmann equation for hard-sphere molecules , 1992 .

[8] M. M. R. Williams,et al. Mathematical methods in particle transport theory , 1971 .

[9] C. E. Siewert,et al. On computing the Chapman-Enskog functions for viscosity and heat transfer and the Burnett functions [rapid communication] , 2002 .

[10] S. K. Loyalka,et al. Plane Poiseuille flow: Near continuum results for a rigid sphere gas , 1989 .