Eur. Phys. J. B 70, 117-126 (2009)
https://doi.org/10.1140/epjb/e2009-00157-8

Kinetic theory analysis of a binary mixture reacting on a surface

¹ Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43100 Parma, Italy
² CMLA, ENS Cachan, CNRS & IUF, PRES UniverSud, 61, Av. du Pdt. Wilson, 94235 Cachan Cedex, France
³ Graduate School of Engineering, Kyoto University, Kyoto, 606-8501, Japan

Corresponding author: ^a maria.groppi@unipr.it

Received: 19 November 2008
Revised: 20 January 2009
Published online: 5 May 2009

Abstract

A mixture of two rarefied gases is considered between two parallel planes. On one side of the domain evaporation/condensation conditions are imposed, while on the other side accommodation at the temperature of the wall and chemical equilibrium conditions are considered. The small Knudsen number asymptotics of this problem is performed at the formal level, and fluid-dynamic equations are derived and then solved numerically. We discuss the possible appearance of a ghost effect in this situation.