The lattice Monte Carlo method for solving phenomenological mass and heat transport problem
In this review paper, we introduce the recently developed Lattice Monte Carlo method for addressing and solving phenomenologically-based mass and heat transport problems especially for composite and porous materials. We describe in detail the application of this method to calculate effective mass di...
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| Format: | Article |
| Language: | English |
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2007
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| Online Access: | http://eprints.utm.my/9609/ http://eprints.utm.my/9609/1/Andreas%C3%96chsner2007_TheLatticeMonteCarloMethod.pdf |
| _version_ | 1848891892947746816 |
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| author | Belova, Irini V. Murch, Graeme E. Fiedler, Thomas Ochsner, Andreas |
| author_facet | Belova, Irini V. Murch, Graeme E. Fiedler, Thomas Ochsner, Andreas |
| author_sort | Belova, Irini V. |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | In this review paper, we introduce the recently developed Lattice Monte Carlo method for addressing and solving phenomenologically-based mass and heat transport problems especially for composite and porous materials. We describe in detail the application of this method to calculate effective mass diffusivities and to determine concentration profiles. Next, we describe in detail the application of this method to the calculation of effective thermal conductivities/thermal diffusivities and the determination of temperature profiles. Where possible, results of the method are compared with exact results or those from application of the Finite Element method. Excellent agreement is demonstrated |
| first_indexed | 2025-11-15T21:05:12Z |
| format | Article |
| id | utm-9609 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T21:05:12Z |
| publishDate | 2007 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-96092014-01-15T04:34:47Z http://eprints.utm.my/9609/ The lattice Monte Carlo method for solving phenomenological mass and heat transport problem Belova, Irini V. Murch, Graeme E. Fiedler, Thomas Ochsner, Andreas TJ Mechanical engineering and machinery In this review paper, we introduce the recently developed Lattice Monte Carlo method for addressing and solving phenomenologically-based mass and heat transport problems especially for composite and porous materials. We describe in detail the application of this method to calculate effective mass diffusivities and to determine concentration profiles. Next, we describe in detail the application of this method to the calculation of effective thermal conductivities/thermal diffusivities and the determination of temperature profiles. Where possible, results of the method are compared with exact results or those from application of the Finite Element method. Excellent agreement is demonstrated 2007 Article PeerReviewed application/pdf en http://eprints.utm.my/9609/1/Andreas%C3%96chsner2007_TheLatticeMonteCarloMethod.pdf Belova, Irini V. and Murch, Graeme E. and Fiedler, Thomas and Ochsner, Andreas (2007) The lattice Monte Carlo method for solving phenomenological mass and heat transport problem. Diffusion Fundamentals, 4 . pp. 1-23. ISSN 1862-4138 |
| spellingShingle | TJ Mechanical engineering and machinery Belova, Irini V. Murch, Graeme E. Fiedler, Thomas Ochsner, Andreas The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title | The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title_full | The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title_fullStr | The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title_full_unstemmed | The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title_short | The lattice Monte Carlo method for solving phenomenological mass and heat transport problem |
| title_sort | lattice monte carlo method for solving phenomenological mass and heat transport problem |
| topic | TJ Mechanical engineering and machinery |
| url | http://eprints.utm.my/9609/ http://eprints.utm.my/9609/1/Andreas%C3%96chsner2007_TheLatticeMonteCarloMethod.pdf |