Singular viscoelastic perturbation to soft lubrication
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911945676816384 |
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| author | Bharti, Bharti Ferreira, Quentin Jha, Aditya Carlson, Andreas Dean, David S. Amarouchene, Yacine Chan, Tak Shing Salez, Thomas |
| author_facet | Bharti, Bharti Ferreira, Quentin Jha, Aditya Carlson, Andreas Dean, David S. Amarouchene, Yacine Chan, Tak Shing Salez, Thomas |
| contents | Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical study, we develop a minimal model incorporating viscoelasticity, carrying out a perturbation analysis in both the elastic deformation of the wall and its viscous damping. Our approach reveals the singular-perturbation nature of viscoelasticity to soft lubrication. Numerical resolution of the resulting non-linear, singular and coupled equations of motion reveals peculiar effects of viscoelasticity on confined colloidal mobility, opening the way towards the description of complex migration scenarios near realistic polymeric substrates and biological membranes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04319 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular viscoelastic perturbation to soft lubrication Bharti, Bharti Ferreira, Quentin Jha, Aditya Carlson, Andreas Dean, David S. Amarouchene, Yacine Chan, Tak Shing Salez, Thomas Soft Condensed Matter Chemical Physics Classical Physics Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical study, we develop a minimal model incorporating viscoelasticity, carrying out a perturbation analysis in both the elastic deformation of the wall and its viscous damping. Our approach reveals the singular-perturbation nature of viscoelasticity to soft lubrication. Numerical resolution of the resulting non-linear, singular and coupled equations of motion reveals peculiar effects of viscoelasticity on confined colloidal mobility, opening the way towards the description of complex migration scenarios near realistic polymeric substrates and biological membranes. |
| title | Singular viscoelastic perturbation to soft lubrication |
| topic | Soft Condensed Matter Chemical Physics Classical Physics |
| url | https://arxiv.org/abs/2407.04319 |