dc.date2008
dc.date2012-02-24T01:38:15Z
dc.date2012-02-24T01:38:15Z
dc.date2012-02-23
dc.date.accessioned2021-06-14T22:04:48Z
dc.date.available2021-06-14T22:04:48Z
dc.identifierActa Mechanica, Vol. 201, N°1, 47-62, 2008
dc.identifierhttps://hdl.handle.net/10925/674
dc.identifier10.1007/s00707-008-0072-0
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3300037
dc.descriptionThe settling of a bidisperse suspension with small particles having different sizes and densities can be described by an initial value problem for a system of two non-linear, first-order conservation laws. Solutions to this problem are in general discontinuous and exhibit kinematic shocks that separate areas of different composition. The solution requires the construction of so-called elementary curves in phase space, which are determined from eigenvector fields of the Jacobian of the flux function. Differences in solution behavior to the previously analyzed equal-density case are due to an umbilic point, which appears for different densities only. The initial value problem is eventually solved by the front tracking method, which generates a series of Riemann problems. It turns out that the solution of the problem predicts a fairly complex process of sediment formation, and that the stationary solution can consist of non-constant smooth transitions. This observation is of interest for manufacturing of functionally graded materials.
dc.formatPDF
dc.formatapplication/pdf
dc.languageen
dc.sourceActa Mechanica
dc.subjectEcuaciones diferenciales
dc.titleOn the settling of a bidisperse suspension with particles having different sizes and densities
dc.typeArtículo de Revista


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