Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects
A growing number of experimental and theoretical works have been addressing various aspects of the viscous fingering formation in rotating Hele-Shaw cells. However, only a few of them consider the influence of Coriolis forces. The studies including Coriolis effects are mostly restricted to the high-...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2007
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| _version_ | 1797105974071263232 |
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| author | Gadêlha, H Brito, N Miranda, J |
| author_facet | Gadêlha, H Brito, N Miranda, J |
| author_sort | Gadêlha, H |
| collection | OXFORD |
| description | A growing number of experimental and theoretical works have been addressing various aspects of the viscous fingering formation in rotating Hele-Shaw cells. However, only a few of them consider the influence of Coriolis forces. The studies including Coriolis effects are mostly restricted to the high-viscosity-contrast limit and rely on either purely linear stability analyses or intensive numerical simulations. We approach the problem analytically and use a modified Darcy's law including the exact form of the Coriolis effects to execute a mode-coupling analysis of the system. By imposing no restrictions on the viscosity contrast A (dimensionless viscosity difference) we go beyond linear stages and examine the onset of nonlinearities. Our results indicate that when Coriolis effects are taken into account, an interesting interplay between the Reynolds number Re and A arises. This leads to important changes in the stability and morphological features of the emerging interfacial patterns. We contrast our mode-coupling approach with previous theoretical models proposed in the literature. Copyright 2007 The American Physical Society. |
| first_indexed | 2024-03-07T06:55:03Z |
| format | Journal article |
| id | oxford-uuid:fddbaf34-b556-4e9e-aaa2-728126e14a73 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:55:03Z |
| publishDate | 2007 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:fddbaf34-b556-4e9e-aaa2-728126e14a732022-03-27T13:31:54ZDynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effectsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fddbaf34-b556-4e9e-aaa2-728126e14a73EnglishSymplectic Elements at OxfordAmerican Physical Society2007Gadêlha, HBrito, NMiranda, JA growing number of experimental and theoretical works have been addressing various aspects of the viscous fingering formation in rotating Hele-Shaw cells. However, only a few of them consider the influence of Coriolis forces. The studies including Coriolis effects are mostly restricted to the high-viscosity-contrast limit and rely on either purely linear stability analyses or intensive numerical simulations. We approach the problem analytically and use a modified Darcy's law including the exact form of the Coriolis effects to execute a mode-coupling analysis of the system. By imposing no restrictions on the viscosity contrast A (dimensionless viscosity difference) we go beyond linear stages and examine the onset of nonlinearities. Our results indicate that when Coriolis effects are taken into account, an interesting interplay between the Reynolds number Re and A arises. This leads to important changes in the stability and morphological features of the emerging interfacial patterns. We contrast our mode-coupling approach with previous theoretical models proposed in the literature. Copyright 2007 The American Physical Society. |
| spellingShingle | Gadêlha, H Brito, N Miranda, J Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title | Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title_full | Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title_fullStr | Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title_full_unstemmed | Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title_short | Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects |
| title_sort | dynamics of viscous fingers in rotating hele shaw cells with coriolis effects |
| work_keys_str_mv | AT gadelhah dynamicsofviscousfingersinrotatingheleshawcellswithcorioliseffects AT briton dynamicsofviscousfingersinrotatingheleshawcellswithcorioliseffects AT mirandaj dynamicsofviscousfingersinrotatingheleshawcellswithcorioliseffects |