Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Derivation of Complete Jump Boundary Conditions Between Homogeneous Media
The modeling of transport phenomena between homogeneous regions requires the derivation of jump boundary conditions. These conditions account for the rapid spatial variations of the transport properties taking place near the dividing surface of the media. There has been a long debate in the literature about whether the discontinuity should apply to the fields (e.g., velocity, temperature, concentration) or to their fluxes. In this work, a general methodology giving rise to jump conditions for both the fields and the fluxes is proposed. This method, besides using a microscopic closure, introduces macroscopic deviation fields that lead to closure schemes for both jump conditions. The methodology is applied first to the diffusive mass transport of a passive solute between a porous medium and a plain fluid and second to the classical problem of momentum transport in a channel partially filled with a porous medium. In both cases, it is required to account for the spatial variations of effective transport coefficients as well as the width and position where the jump conditions must be satisfied. One attractive feature of this methodology is related to its ability to provide the necessary length‐scale constraints under which the jump conditions can be applied.
Derivation of Complete Jump Boundary Conditions Between Homogeneous Media
The modeling of transport phenomena between homogeneous regions requires the derivation of jump boundary conditions. These conditions account for the rapid spatial variations of the transport properties taking place near the dividing surface of the media. There has been a long debate in the literature about whether the discontinuity should apply to the fields (e.g., velocity, temperature, concentration) or to their fluxes. In this work, a general methodology giving rise to jump conditions for both the fields and the fluxes is proposed. This method, besides using a microscopic closure, introduces macroscopic deviation fields that lead to closure schemes for both jump conditions. The methodology is applied first to the diffusive mass transport of a passive solute between a porous medium and a plain fluid and second to the classical problem of momentum transport in a channel partially filled with a porous medium. In both cases, it is required to account for the spatial variations of effective transport coefficients as well as the width and position where the jump conditions must be satisfied. One attractive feature of this methodology is related to its ability to provide the necessary length‐scale constraints under which the jump conditions can be applied.
Derivation of Complete Jump Boundary Conditions Between Homogeneous Media
Valdés‐Parada, Francisco J. (Autor:in) / Goyeau, Benoît (Autor:in) / Alberto Ochoa‐Tapia, J. (Autor:in) / Vafai, Kambiz (Herausgeber:in)
POROUS MEDIA AND ITS APPLICATIONS IN SCIENCE, ENGINEERING, AND INDUSTRY: 3rd International Conference ; 2010 ; Montecatini (Italy)
AIP Conference Proceedings ; 1254 ; 9-14
30.05.2010
6 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
Derivation of Complete Jump Boundary Conditions between Homogeneous Media
| British Library Conference Proceedings | 2010
Stress-Velocity Complete Radiation Boundary Conditions
| British Library Online Contents | 2013
Heat Sources in Non-Homogeneous Rock Media by Boundary Elements
| British Library Conference Proceedings | 2000
| British Library Conference Proceedings | 2012
Derivation of Boundary Conditions for Micromechanics Analyses of Plain and Satin Weave Composites
| British Library Online Contents | 2000