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Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6161
Abstract: We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and…
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Keywords:
problem modeling;
variational problem;
sheet;
elastic sheet ... See more keywords
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Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.61
Abstract: The two-dimensional dynamics of a thin film of viscous fluid spreading between a permeable horizontal plate and an overlying thin elastic sheet is explored. We use a lubrication model to describe the balance between the…
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Keywords:
permeable horizontal;
spreading permeable;
sheet;
dynamics thin ... See more keywords
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Published in 2019 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2019.59
Abstract: We study the mechanisms affecting the viscous-fingering instability in an elastic-walled Hele-Shaw cell by considering the stability of steady states of unidirectional peeling-by-pulling and peeling-by-bending. We demonstrate that the elasticity of the wall influences the…
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Keywords:
mechanisms peeling;
viscous fingering;
elastic sheet;
fingering mechanisms ... See more keywords
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1
Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.065002
Abstract: An isolated positive wedge disclination deforms an initially flat elastic sheet into a perfect cone when the sheet is of infinite extent and is elastically inextensible. The latter requires the elastic stretching strains to be…
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Keywords:
field;
sheet;
gaussian curvature;
dirac singularity ... See more keywords
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Published in 2021 at "Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering"
DOI: 10.1177/09544089211051596
Abstract: Heat transfer phenomena occur in most of the natural as well as engineering or manufacturing production plants. Such significant industrial processes utilize various modes for the transportation of heat and energy. In this veneration, the…
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Keywords:
porous elastic;
transport;
elastic sheet;
ion ... See more keywords