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On lower-dimensiona...
On lower-dimensional models of thin film flow, Part C: Derivation of a Reynolds type of equation for fluids with temperature and pressure dependent viscosity
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- Almqvist, Andreas (författare)
- Luleå tekniska universitet,Maskinelement
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- Burtseva, Evgeniya, 1988- (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Rajagopal, Kumbakonam (författare)
- Department of Mechanical Engineering, Texas A&M University, College Station, TX, USA
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- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- 2022-12-04
- 2023
- Engelska.
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Ingår i: Proceedings of the Institution of mechanical engineers. Part J, journal of engineering tribology. - : Sage. - 1350-6501 .- 2041-305X. ; 237:3, s. 514-526
- Relaterad länk:
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https://ltu.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This paper constitutes the third part of a series of works on lower-dimensional models in lubrication. In Part A, it was shown that implicit constitutive theory must be used in the modelling of incompressible fluids with pressure-dependent viscosity and that it is not possible to obtain a lower-dimensional model for the pressure just by letting the film thickness go to zero, as in the proof of the classical Reynolds equation. In Part B, a new method for deriving lower-dimensional models of thin-film flow of fluids with pressure-dependent viscosity was presented. Here, in Part C, we also incorporate the energy equation so as to include fluids with both temperature and pressure dependent viscosity. By asymptotic analysis of this system, as the film thickness goes to zero, we derive a simplified model of the flow. We also carry out an asymptotic analysis of the boundary condition, in the case where the normal stress is specified on one part of the boundary and the velocity on the remaining part.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Tribologi (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Tribology (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Reynolds equation
- elastohydrodynamic lubrication (or EHL)
- implicit constitutive relations
- lower-dimensional models
- piezo-viscous fluids
- thermal effects
- Machine Elements
- Maskinelement
- Applied Mathematics
- Tillämpad matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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