Dissertação
O modelo de McCormack no escoamento de gases rarefeitos
Fecha
2011-02-24Registro en:
TRES, Anderson. O MODELO DE McCORMACK NO ESCOAMENTO DE GASES RAREFEITOS. 2011. 94 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Santa Maria, Santa Maria, 2011.
Autor
Tres, Anderson
Institución
Resumen
In this paper, we present numerical results for macroscopic quantities of interest (velocity
profile, the heat ow profile and shear stress) for the
ow of a binary mixture of rarefied gases in microchannels of arbitrary planes, defined by two infinite parallel lates without symmetry condition. The ow of gas mixture is due to a constant pressure gradient (Poiseuille's Problem), a temperature gradient (Problem Thermal-Creep) and a density gradient (Fuzzy Problem) in the direction parallel to the surface surrounding gases. The
kinetic theory for the ow of gas mixture is described by a linearized model of the Boltzmann equation, the McCormack model. To better describe the interaction between gas
and wall is used by Maxwell kernel in the terms of a single accommodation coefficient and the Cercignani-Lampis kernel defined in terms of the coefficients of accommodation of tangential momentum accommodation coefficient and the kinetic energy corresponding to
normal velocity, which according to literature is a more appropriate model than the usual model that involves specular and diffuse. In seeking solutions to the problem proposed, it uses a analytical version of the discrete ordinates method (ADO), based an arbitrary quadrature scheme, whereby it is determined a problem of eigenvalues and their constant separation. The numerical calculations are performed for three mixtures of noble gases:
Neon-Argon, Helium-Argon and Helium-Xenon, and computationally implemented using the FORTRAN computer program.