Arnone, Giuseppe (2023) Hydrodynamic Stability of Boussinesq’s Flows in Porous Media. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Hydrodynamic Stability of Boussinesq’s Flows in Porous Media |
| Autori: | Autore Email Arnone, Giuseppe giuseppe.arnone@unina.it |
| Data: | 11 Dicembre 2023 |
| Numero di pagine: | 246 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Matematica e Applicazioni |
| Ciclo di dottorato: | 36 |
| Coordinatore del Corso di dottorato: | nome email Moscariello, Gioconda gioconda.moscariello@unina.it |
| Tutor: | nome email Capone, Florinda [non definito] |
| Data: | 11 Dicembre 2023 |
| Numero di pagine: | 246 |
| Parole chiave: | Porous media, compressibility effect, penetrative convection, Rayleigh-Bénard convection, Stability analysis |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/07 - Fisica matematica |
| Depositato il: | 19 Dic 2023 18:08 |
| Ultima modifica: | 12 Mar 2026 10:23 |
| URI: | http://www.fedoa.unina.it/id/eprint/15661 |
Abstract
In this thesis, two typical situations bringing thermal instability in a horizontal layer will be considered. The first is the uniformly heating from below mechanism, which is the phenomenon responsible for the activation of the so-called Rayleigh-Bénard convection. The second typical situation occurs when the fluid density attains a maximum in the interior of the layer. In this case, the process of thermal convection refers to the instability of a part of the layer, which will then penetrate into an upper stability-stratified region. This density inversion phenomenon is indeed responsible for the activation of the so-called penetrative convection. This thesis deals with both the situations stated right before and, as a consequence, the topics and the related results are twofold. In particular, after a discussion concerning the physical and mathematical background, the second part of the thesis is focused on the phenomenon of penetrative convection in porous media while the third part is on the Rayleigh-Bénard convection for a class of fluids called Extended-Quasi-Thermal-Incompressible. The thesis ends with a chapter in which the numerical techniques employed in the thesis are described in detail.
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