Plane Poiseuille flow: Near continuum results for a rigid sphere gas

S.K. Loyalka and K.A. Hickey

Physica A: Statistical Mechanics and its Applications, 1989, vol. 160, issue 3, 395-408

Abstract: In Poiseuille flow between two parallel plates, the bulk flow is characterized by the Burnett distribution. We report explicit results for this distribution by solving numerically the relevant integral equations for a rigid sphere gas in the context of the linearized Boltzmann equation. Then, we use this distribution together with the Chapman-Enskog distribution to obtain asymptotic results (near-continuum) for mass and heat fluxes corresponding to planar thermal transpiration and mechanocaloric effects.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:160:y:1989:i:3:p:395-408

DOI: 10.1016/0378-4371(89)90449-4

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