Chapman-Enskog expansion procedure

The continuity and momentum equations can be obtained for the fluid mixture as a single fluid using Chapman-Enskog expansion procedure in the nearly incompressible limit 43... [Pg.269]

Bather than using the Chapman-Enskog procedure directly, we shall employ the technique of Burnett,12 which involves an expansion of the distribution function in a set of orthogonal polynomials in particle-velocity space. [Pg.25]

The Burnett Expansion.—The Chapman-Enskog solution of the Boltzmann equation can be most easily developed through an expansion procedure due to Burnett.15 For the distribution function of a system that is close to equilibrium, we may use as a zeroth approximation a local equilibrium distribution function given by the maxwellian form ... [Pg.26]

The Chapman-Enskog procedure to approximate the distribution functions /j, /e by a linear perturbation ansatz, the Landau form of the Coulomb collision integral together with the small mass ratio me/m expansions in the classical work of Braginskii results in the friction term R... [Pg.40]

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