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COBEM 2019
25th International Congress of Mechanical Engineering
A MIXTURE THEORY APPROACH FOR MASS AND MOMENTUM TRANSPORT OF FLUID AND POLLUTANTS THROUGH POROUS MEDIA
Submission Author:
Maria Laura Martins-Costa , RJ , Brazil
Co-Authors:
Maria Laura Martins-Costa, Monique Ramos, ROGERIO GAMA
Presenter: Maria Laura Martins-Costa
doi://10.26678/ABCM.COBEM2019.COB2019-0080
Abstract
The motion of a fluid polluted by three pollutants though a rigid porous medium is modeled using a Mixture Theory approach. A very small quantity of the pollutants (when compared with the main fluid) is assumed and they react solely among themselves. This hypothesis allows the motion equation to consist of mass balance for the three pollutants constituents and the fluid constituent and momentum balance solely for the fluid constituent. Combining with a constitutive assumption to represent pollutants mass generation, the model gives rise to a nonlinear nonhomogeneous hyperbolic problem. The simulation combines Glimm scheme (that marches in time with the solution of a chosen number of Riemann problems) combined with an operator splitting technique. Some results show the success of this numerical strategy.
Keywords
Mixture Theory, Mass transfer, flow through porous medium, Glimm scheme, operator splitting
