| 项目编号: | EP/J007927/1
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| 项目名称: | Viscous fingering under elastic membranes |
| 作者: | Anne Juel
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| 承担单位: | University of Manchester
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| 批准年: | 2011
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| 开始日期: | 2012-01-08
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| 结束日期: | 2016-31-01
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| 资助金额: | GBP363683
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| 资助来源: | UK-EPSRC
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| 项目类别: | Research Grant
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| 国家: | UK
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| 语种: | 英语
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| 特色学科分类: | Mathematical sciences 
; (75%)
; Process engineering 
; (25%)
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| 英文摘要: | The research proposed here is motivated by recent striking and unexpected observations of the suppression of a viscous fingering instability in elastic-walled Hele-Shaw cells. The dendritic patterns that readily develop when a thin fluid layer contained in a narrow gap between two rigid plates is displaced by a less viscous fluid, is an archetype for front-propagating, pattern-forming phenomena. We have observed that elastic deformations of the plates that bound the fluid can have a dramatic effect on the onset and nonlinear development of this instability. Specifically, in an elastic-walled Hele-Shaw cell where one of the bounding plates is replaced by a latex membrane, the interface remains axisymmetric for values of the injection rate at which the rigid system already exhibits strongly nonlinear interfacial growth. The critical injection rate beyond which the axisymmetrically expanding interface becomes unstable in the elastic-walled system is approximately 1000 times larger than the corresponding value in the rigid system. Wall elasticity not only affects the onset of the instability but also has a strong effect on the structure of the fingers that develop subsequently. Moreover, if the variations in fluid pressure along the bounding plate are sufficiently large (relative to the plate's stiffness), the fluid loading can cause the plate to buckle (or wrinkle), leading to a strong interaction between two fluid- and solid-based instabilities. We propose to employ a combination of experimental, theoretical and computational approaches to provide a comprehensive understanding of the mechanisms responsible for these novel elasto-hydrodynamic phenomena. |
| 资源类型: | 项目
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| 标识符: | http://119.78.100.158/handle/2HF3EXSE/103114
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| Appears in Collections: | 科学计划与规划
气候变化与战略
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作者单位: | University of Manchester
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| Recommended Citation: | |
Anne Juel. Viscous fingering under elastic membranes. 2011-01-01.
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