TITLE

A slip model for rarefied gas flows at arbitrary Knudsen number

AUTHOR(S)
Lin Wu
PUB. DATE
December 2008
SOURCE
Applied Physics Letters;12/22/2008, Vol. 93 Issue 25, p253103
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A slip model for wall bounded rarefied gas flows is derived from kinetic theory. A corresponding modified Reynolds lubrication equation is obtained from the slip velocity boundary conditions at walls for high Knudsen number gas flows. The slip model in a simplest form has predictions very close to the numerical solutions of linearized Boltzmann equation in the whole Knudsen number range, and is preferable to the widely applied 1st order (Maxwell slip model), 2nd order, and 1.5 order slip models.
ACCESSION #
36197987

 

Related Articles

  • Interdiffusion coefficients in actual gaseous systems. Bogatyrev, A.; Nezovitina, M. // Journal of Engineering Physics & Thermophysics;Sep2012, Vol. 85 Issue 5, p1208 

    Interdiffusion coefficients of ten gaseous pairs have been measured as functions of pressure at different temperatures. The measurements were performed by the two-bulb and stationary flow methods. The data obtained have been compared to the results of calculation from the formulas of rigorous...

  • A rarefied gas flow caused by a discontinuous wall temperature. Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, Franc¸ois // Physics of Fluids;Sep2001, Vol. 13 Issue 9, p2645 

    A flow of a rarefied gas caused by a discontinuous wall temperature is investigated on the basis of kinetic theory in the following situation. The gas is confined in a two-dimensional square container, and the left and right halves of the wall of the container are kept at different uniform...

  • Evaporation And Condensation On A Plane Condensed Phase In The Basis Of Discrete Kinetic Theory. Nicodin, Ioana; Gatignol, Renée // AIP Conference Proceedings;2003, Vol. 663 Issue 1, p623 

    Gas flow is considered on the basis of the discrete models for the Boltzmann equation. The formation and propagation of disturbances in an initially uniform gas bounded by its plane-condensed phase in non-equilibrium with the gas are investigated when the evaporation or condensation is taking...

  • On thermal diffusion of nanoparticles in gases. Rudyak, V.; Krasnolutskii, S. // Technical Physics;Aug2010, Vol. 55 Issue 8, p1124 

    Thermal diffusion of nanoparticles in gases is studied with the help of the kinetic theory and using the nanoparticle-molecule interaction potential developed earlier by the authors. The dependence of the thermal diffusion coefficient of nanoparticles on their radius, volume concentration, and...

  • Effect of vibrational excitation of molecules on the velocity of sound in a high-temperature diatomic gas. Voroshilova, Yu.; Rydalevskaya, M. // Journal of Applied Mechanics & Technical Physics;May2008, Vol. 49 Issue 3, p369 

    A formula for the velocity of sound, which is valid not only for barotropic gases, is derived on the basis of methods of the kinetic theory of gases. This formula is specified for various stages of relaxation of a high-temperature diatomic gas in the approximation of the model of anharmonic...

  • A kinetic model for collisional effects in dense adsorbed gas layers. Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio; Giordano, Domenico // AIP Conference Proceedings;5/20/2011, Vol. 1333 Issue 1, p458 

    The effects of adsorbed gas layers on gas-surface interaction is investigated by a kinetic model based on the Enskog-Vlasov equation. The onset of collisional effects in the gas layer is studied by equilibrium simulations. The effects of adsorption on the gas-wall friction forces is investigated...

  • Kinetic analyses of thermally relativistic nonequilibrium flows. Yano, Ryosuke; Suzuki, Kojiro // AIP Conference Proceedings;5/20/2011, Vol. 1333 Issue 1, p1181 

    In this paper, we consider on the thermally relativistic nonequilibrium flows in the flat or curved spacetime. In the flat spacetime, the supersonic thermally relativistic flow around the prism is numerically analyzed using the Anderson-Witting model. Obtained numerical results show that the...

  • Self-diffusion in granular gases: Green–Kubo versus Chapman–Enskog. Brilliantov, Nikolai V.; Pöschel, Thorsten // Chaos;Jun2005, Vol. 15 Issue 2, p026108 

    We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green–Kubo relation and the Chapman–Enskog approach. The dissipative particle collisions are described by the coefficient of restitution [variant_greek_epsilon]...

  • Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions. Bobylev, A. V.; Cercignani, C. // Journal of Statistical Physics;Jan2003, Vol. 110 Issue 1/2, p333 

    We consider some questions related to the self-similar asymptotics in the kinetic theory of both elastic and inelastic particles. In the second case we have in mind granular materials, when the model of hard spheres with inelastic collisions is replaced by a Maxwell model, characterized by a...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

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

Try another library?
Sign out of this library

Other Topics