885 research outputs found

    Introduction to Library Trends 55 (3) Winter 2007: Libraries in Times of War, Revolution and Social Change

    Get PDF
    published or submitted for publicatio

    Enskog Theory for Polydisperse Granular Mixtures II. Sonine Polynomial Approximation

    Full text link
    The linear integral equations defining the Navier-Stokes (NS) transport coefficients for polydisperse granular mixtures of smooth inelastic hard disks or spheres are solved by using the leading terms in a Sonine polynomial expansion. Explicit expressions for all the NS transport coefficients are given in terms of the sizes, masses, compositions, density and restitution coefficients. In addition, the cooling rate is also evaluated to first order in the gradients. The results hold for arbitrary degree of inelasticity and are not limited to specific values of the parameters of the mixture. Finally, a detailed comparison between the derivation of the current theory and previous theories for mixtures is made, with attention paid to the implication of the various treatments employed to date.Comment: 26 pages, to be published in Phys. Rev.

    Patterns and outcomes of preterm hospital admissions during pregnancy in NSW, 2001-2008

    Get PDF
    Contains fulltext : 139362.pdf (publisher's version ) (Open Access

    Enskog Theory for Polydisperse Granular Mixtures. I. Navier-Stokes order Transport

    Full text link
    A hydrodynamic description for an ss-component mixture of inelastic, smooth hard disks (two dimensions) or spheres (three dimensions) is derived based on the revised Enskog theory for the single-particle velocity distribution functions. In this first portion of the two-part series, the macroscopic balance equations for mass, momentum, and energy are derived. Constitutive equations are calculated from exact expressions for the fluxes by a Chapman-Enskog expansion carried out to first order in spatial gradients, thereby resulting in a Navier-Stokes order theory. Within this context of small gradients, the theory is applicable to a wide range of restitution coefficients and densities. The resulting integral-differential equations for the zeroth- and first-order approximations of the distribution functions are given in exact form. An approximate solution to these equations is required for practical purposes in order to cast the constitutive quantities as algebraic functions of the macroscopic variables; this task is described in the companion paper.Comment: 36 pages, to be published in Phys. Rev.
    • …
    corecore