Academic Journal
Non-isothermal thin-film flow of a viscoplastic material over topography: critical Bingham number for a partial slump
| العنوان: | Non-isothermal thin-film flow of a viscoplastic material over topography: critical Bingham number for a partial slump |
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| المؤلفون: | Moyers-Gonzalez, Miguel, Hewett, James N., Cusack, Dale R., Kennedy, Ben M., Sellier, Mathieu |
| المساهمون: | University of Canterbury |
| المصدر: | Theoretical and Computational Fluid Dynamics ; volume 37, issue 2, page 151-172 ; ISSN 0935-4964 1432-2250 |
| بيانات النشر: | Springer Science and Business Media LLC |
| سنة النشر: | 2023 |
| الوصف: | This paper considers the non-isothermal flow of a viscoplastic fluid on a horizontal or an inclined surface with a flat, a step-up and a step-down topography. A particular application of interest is the spread of a fixed mass—a block—of material under its own weight. The rheology of the fluid is described by the Bingham model which includes the effect of yield stress, i.e. a threshold stress which must be exceeded before flow can occur. Both the plastic viscosity and the yield stress are modelled with temperature-dependent parameters. The flow is described by a reduced model with a thin-film equation for the height of the block and a depth-averaged energy conservation equation for the heat transfer. Results show that for large values of the yield stress, only the outer fraction of the fluid spreads outward, the inner fraction remaining unyielded, hence the block only partially slumps. Conversely, for small values of the yield stress, the entire block of fluid becomes yielded and therefore slumps. We present an analysis which predicts the critical value of the yield stress for which partial slump occurs and how it depends on temperature. Graphical abstract |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1007/s00162-023-00642-5 |
| DOI: | 10.1007/s00162-023-00642-5.pdf |
| DOI: | 10.1007/s00162-023-00642-5/fulltext.html |
| الاتاحة: | http://dx.doi.org/10.1007/s00162-023-00642-5 https://link.springer.com/content/pdf/10.1007/s00162-023-00642-5.pdf https://link.springer.com/article/10.1007/s00162-023-00642-5/fulltext.html |
| Rights: | https://creativecommons.org/licenses/by/4.0 ; https://creativecommons.org/licenses/by/4.0 |
| رقم الانضمام: | edsbas.90969C3 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s00162-023-00642-5 |
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