Linear stability analysis on the onset of viscous fingering due to a non monotonic viscosity profile for immiscible fluids
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2017
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| _version_ | 1866910367339249664 |
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| author | Pérez-Muñuzuri, Vicente |
| author_facet | Pérez-Muñuzuri, Vicente |
| contents | The onset of viscous fingering in the presence of a non monotonic viscosity profile is investigated theoretically for two immiscible fluids. Classical fluid dynamics predicts that no unstable behavior may be observed when a viscous fluid pushes a less viscous one in a Hele-Shaw cell. Here, we show that the presence of a viscosity gradient at the interface between both fluids destabilize the interface facilitating the spread of the perturbation. The influence of the viscosity gradient on the dispersion relation is analyzed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_03986 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Linear stability analysis on the onset of viscous fingering due to a non monotonic viscosity profile for immiscible fluids Pérez-Muñuzuri, Vicente Fluid Dynamics Pattern Formation and Solitons The onset of viscous fingering in the presence of a non monotonic viscosity profile is investigated theoretically for two immiscible fluids. Classical fluid dynamics predicts that no unstable behavior may be observed when a viscous fluid pushes a less viscous one in a Hele-Shaw cell. Here, we show that the presence of a viscosity gradient at the interface between both fluids destabilize the interface facilitating the spread of the perturbation. The influence of the viscosity gradient on the dispersion relation is analyzed. |
| title | Linear stability analysis on the onset of viscous fingering due to a non monotonic viscosity profile for immiscible fluids |
| topic | Fluid Dynamics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/1710.03986 |