Lubrication of soft viscoelastic solids

Anupam Pandey, Stefan Karpitschka, Cornelis H. Venner, Jacobus Hendrikus Snoeijer

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Abstract

Lubrication flows appear in many applications in engineering, biophysics and nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubricating fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin–Voigt, standard linear and power law rheology. It is shown how the solid viscoelasticity affects the lubrication process when the time scale of loading becomes comparable to the rheological time scale. We derive asymptotic relations between the lift force and the sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.
Original languageEnglish
Pages (from-to)433-447
Number of pages15
JournalJournal of fluid mechanics
Volume799
Issue number433- 447
DOIs
Publication statusPublished - 2016

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lubrication
Lubrication
Rheology
rheology
elastic systems
Biophysics
biophysics
Scaling laws
viscoelasticity
Viscoelasticity
scaling laws
sliding
friction
signatures
Wear of materials
engineering
Friction
optimization
Fluids
fluids

Keywords

  • METIS-317317
  • IR-100767

Cite this

Pandey, Anupam ; Karpitschka, Stefan ; Venner, Cornelis H. ; Snoeijer, Jacobus Hendrikus. / Lubrication of soft viscoelastic solids. In: Journal of fluid mechanics. 2016 ; Vol. 799, No. 433- 447. pp. 433-447.
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Lubrication of soft viscoelastic solids. / Pandey, Anupam; Karpitschka, Stefan; Venner, Cornelis H.; Snoeijer, Jacobus Hendrikus.

In: Journal of fluid mechanics, Vol. 799, No. 433- 447, 2016, p. 433-447.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Pandey, Anupam

AU - Karpitschka, Stefan

AU - Venner, Cornelis H.

AU - Snoeijer, Jacobus Hendrikus

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AB - Lubrication flows appear in many applications in engineering, biophysics and nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubricating fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loading conditions. We present a method for viscoelastic lubrication and focus on three canonical examples, namely Kelvin–Voigt, standard linear and power law rheology. It is shown how the solid viscoelasticity affects the lubrication process when the time scale of loading becomes comparable to the rheological time scale. We derive asymptotic relations between the lift force and the sliding velocity, which give scaling laws that inherit a signature of the rheology. In all cases the lift is found to decrease with respect to purely elastic systems.

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