A vertically non-uniform temperature approach for the friction term computation in depth-averaged viscoplastic lava flows
Ortega-Moya, J. ; Martínez-Aranda, S. (Universidad de Zaragoza) ; Fernández-Pato, J. ; García-Navarro, P. (Universidad de Zaragoza)
Resumen: Recently, depth-averaged shallow flow models have been adapted to modelling liquefied lava flows, generally characterized by a marked temperature-dependent non-Newtonian rheology. Modelling these complex flows requires to include the effects of the depth-averaged temperature gradients in the governing equations. The most significant term to correctly predict the lava mobility is the flow resistance term, which is widely estimated using the linear viscoplastic Bingham model. This non-Newtonian model allows to relate the bed shear stress to the depth-averaged lava flow features by means of a cubic equation with analytical solution when assuming a uniform temperature distribution along the vertical profile. Nevertheless, the lava temperature is non-uniform along the vertical due to the heat transfer at the bottom and the free surface, and hence the classical cubic Bingham model is not valid anymore. In this work, a depth-averaged shallow flow model is adapted for realistic lava flows considering influence of the non-uniform vertical temperature profile in the non-Newtonian resistance. This requires to modify the rheological viscoplastic models for ensuring the coupling between flow dynamics and temperature evolution. Three non-uniform temperature vertical distributions are considered: linear, piece-wise and diffusion profiles. Synthetic tests are used to show the influence of the temperature vertical profile on the numerical results. Furthermore, laboratory experimental data are used to validate this novel viscoplastic resistance formulation and to show that the calibration of its parameters is possible.
Idioma: Inglés
DOI: 10.1016/j.jcp.2024.113378
Año: 2024
Publicado en: Journal of Computational Physics 519 (2024), 113378 [20 pp.]
ISSN: 0021-9991
Financiación: info:eu-repo/grantAgreement/ES/DGA/T32-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Exportado de SIDERAL (2024-09-20-13:01:58)
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Idioma: Inglés
DOI: 10.1016/j.jcp.2024.113378
Año: 2024
Publicado en: Journal of Computational Physics 519 (2024), 113378 [20 pp.]
ISSN: 0021-9991
Financiación: info:eu-repo/grantAgreement/ES/DGA/T32-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2024-09-20-13:01:58)
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Record created 2024-09-20, last modified 2024-09-20