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Computational mechanics of multiphase materials-modeling strategies at different scales

Meschke G., Leonhart D., Timothy J. J., Zhou M. M.

Computer Assisted Mechanics and Engineering Sciences

2011

Vol. 18, no. 1-2

73-89

The paper addresses various scale-bridging modeling and discretization strategies for multiphase porousmaterials, starting with a micromechanics model for ion transport within the pore space to generate homogenized diffusion coefficients. Using homogenized macroscopic properties, the theory of poromechanicsprovides the modeling framework for the macroscopic representation of transport and phase change processes as it is demonstrated for freezing of porous materials using a three-field formulation. The theory of poromechanics is again employed as an appropriate representation of more or less intact porous materials, in conjunction with a two-field Extended Finite Element model as a scale bridging tool to describe coupledhydro-mechanical processes in cracked porous materials at a macroscopic level.

Multigroup interfacial area transport equations for bubbly and cap/slug flows

Munoz-Cobo J. L., Chiva S., Escriva A., Mendez S.

Transactions of the Institute of Fluid-Flow Machinery

2006

nr 118

51-69

In this paper we obtained two groups of coupled transport equations for the interfacial area concentration (IAC), the void fraction and the density of bubbles starting from the Liouville equation. Also we study the source and sink terms of these transport equations. These terms are produced by interactions between bubbles, by the impact of turbulent eddies, or by generation of new bubbles by nucleation. Special attention has been paid to the term that considers the rate of volume change of existing bubbles along their trajectories; this term takes into account the change in IAC produced by pressure changes.