| dc.date | 2008 | |
| dc.date | 2012-02-24T01:38:15Z | |
| dc.date | 2012-02-24T01:38:15Z | |
| dc.date | 2012-02-23 | |
| dc.date.accessioned | 2021-06-14T22:04:48Z | |
| dc.date.available | 2021-06-14T22:04:48Z | |
| dc.identifier | Acta Mechanica, Vol. 201, N°1, 47-62, 2008 | |
| dc.identifier | https://hdl.handle.net/10925/674 | |
| dc.identifier | 10.1007/s00707-008-0072-0 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3300037 | |
| dc.description | The 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.format | PDF | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.source | Acta Mechanica | |
| dc.subject | Ecuaciones diferenciales | |
| dc.title | On the settling of a bidisperse suspension with particles having different sizes and densities | |
| dc.type | Artículo de Revista | |