SOLVING THE ALGEBRAIC SLIP MIXTURE MODEL AS A HYPERBOLIC SYSTEM WITH RESTRICTIONS

MARQUEZ DAMIAN, SANTIAGO; NIGRO NORBERTO; BUSCAGLIA GUSTAVO

Salta

Congreso; MECOM 2012; 2012

AMCA

In this work the well established Algebraic Slip Mixture Model (ASMM) is revisited andstudied. Since its presentation the related literature is centered in its derivation and the analysis of theclosure laws needed for practical applications. In addition a rich mathematical and modelistic structureis present is this model. This structure is not much discussed, but is also valuable for the model implementationand use, particularly for high disperse-phase fractions.So that, the incompressible ASMM is presented as a hyperbolic system with restrictions derived fromthe Two-Fluid model. The structure of the hyperbolic system is described, particularly the restrictiongiven by the mixture mass conservation equation as is usual in incompressible problems, the importanceof the dispersed phase conservation equation with the corresponding eigenvalue analysis and the casesobtained for two different dispersed-phase flux functions. A numerical solver is implemented based onthis analysis taking into account the eigenvalues information for the correct stabilization and the issuesrelated with the incompressibility, which is treated by pressure correction methods.The analysis allows to derive a semi-analytical solution for sedimentation cases and the consequentvalidation of the numerical solver designed for the problem.