Journal article
Estimation of thermal and mass diffusivity in a porous medium of complex structure using a lattice Boltzmann method
International journal of heat and mass transfer, Vol.51(15-16), pp.3913-3923
07/15/2008
DOI: 10.1016/j.ijheatmasstransfer.2007.11.045
Abstract
The thermal and mass diffusivity in a porous medium of complex structure is studied by using the lattice Boltzmann method. The media under consideration include two-dimensional medium with an array of periodically distributed circular and square cylinders, three-dimensional granular medium of overlapping or non-overlapping spherical and cubical inclusions of different size, and randomly generated fibrous medium. The calculated effective diffusivities are in good agreement with existing analytical and numerical results when the inclusions, regardless of their shapes, are not overlapped. For the medium of overlapping inclusions, the effective diffusivity deviates from existing correlations as the inclusion fraction increases. In particular, the deviation increases dramatically if the thermal diffusivity of the inclusion is greater than that of the fluid in the medium for enhanced thermal conduction. A new empirical correlation between the effective diffusivity and the volume fraction for the medium of overlapping inclusions is proposed.
Details
- Title: Subtitle
- Estimation of thermal and mass diffusivity in a porous medium of complex structure using a lattice Boltzmann method
- Creators
- Namgyun Jeong - Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of KoreaDo Hyung Choi - Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of KoreaChing-Long Lin - IIHR – Hydroscience and Engineering and Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242-1585, USA
- Resource Type
- Journal article
- Publication Details
- International journal of heat and mass transfer, Vol.51(15-16), pp.3913-3923
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.ijheatmasstransfer.2007.11.045
- ISSN
- 0017-9310
- eISSN
- 1879-2189
- Language
- English
- Date published
- 07/15/2008
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering; Radiology
- Record Identifier
- 9984064234002771
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