Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

6 Citations (Scopus)

Abstract

An analytical thermal field theory is derived by a perturbation series expansion solution to the energy conservation equation. The theory is valid for small values of the Brinkman number and the modified Peclet number. This condition is sufficiently satisfied for hydraulic oils, whereby the analytical approach provides an alternative to existing computationally expensive numerical methods. The paper presents the dimensional analysis, which provides the foundation for the derivation of the analytical approximation. Subsequently, the perturbation method is applied in order to find an asymptotic expansion of the thermal field. The series solution is truncated at first order in order to obtain a closed form approximation. Finally a numerical thermohydrodynamic simulation of a piston-cylinder interface is presented, and the results are used for a comparison with the analytical theory in order to validate the modelling approach.
Original languageEnglish
Title of host publicationProceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC)
Number of pages8
PublisherAmerican Society of Mechanical Engineers
Publication dateSep 2014
Pages1-8
DOIs
Publication statusPublished - Sep 2014
EventASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC) - Bath, United Kingdom
Duration: 10 Sep 201412 Sep 2014

Conference

ConferenceASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC)
CountryUnited Kingdom
CityBath
Period10/09/201412/09/2014

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hydraulics
fluid
oil
perturbation
energy conservation
numerical method
modeling
simulation
comparison
method
analysis

Cite this

Johansen, P., Roemer, D. B., Pedersen, H. C., & Andersen, T. O. (2014). Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication. In Proceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC) (pp. 1-8). American Society of Mechanical Engineers. https://doi.org/10.1115/FPMC2014-7844
Johansen, Per ; Roemer, Daniel Beck ; Pedersen, Henrik C. ; Andersen, Torben Ole. / Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication. Proceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC). American Society of Mechanical Engineers, 2014. pp. 1-8
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abstract = "An analytical thermal field theory is derived by a perturbation series expansion solution to the energy conservation equation. The theory is valid for small values of the Brinkman number and the modified Peclet number. This condition is sufficiently satisfied for hydraulic oils, whereby the analytical approach provides an alternative to existing computationally expensive numerical methods. The paper presents the dimensional analysis, which provides the foundation for the derivation of the analytical approximation. Subsequently, the perturbation method is applied in order to find an asymptotic expansion of the thermal field. The series solution is truncated at first order in order to obtain a closed form approximation. Finally a numerical thermohydrodynamic simulation of a piston-cylinder interface is presented, and the results are used for a comparison with the analytical theory in order to validate the modelling approach.",
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Johansen, P, Roemer, DB, Pedersen, HC & Andersen, TO 2014, Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication. in Proceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC). American Society of Mechanical Engineers, pp. 1-8, ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC), Bath, United Kingdom, 10/09/2014. https://doi.org/10.1115/FPMC2014-7844

Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication. / Johansen, Per; Roemer, Daniel Beck; Pedersen, Henrik C.; Andersen, Torben Ole.

Proceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC). American Society of Mechanical Engineers, 2014. p. 1-8.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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N2 - An analytical thermal field theory is derived by a perturbation series expansion solution to the energy conservation equation. The theory is valid for small values of the Brinkman number and the modified Peclet number. This condition is sufficiently satisfied for hydraulic oils, whereby the analytical approach provides an alternative to existing computationally expensive numerical methods. The paper presents the dimensional analysis, which provides the foundation for the derivation of the analytical approximation. Subsequently, the perturbation method is applied in order to find an asymptotic expansion of the thermal field. The series solution is truncated at first order in order to obtain a closed form approximation. Finally a numerical thermohydrodynamic simulation of a piston-cylinder interface is presented, and the results are used for a comparison with the analytical theory in order to validate the modelling approach.

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Johansen P, Roemer DB, Pedersen HC, Andersen TO. Analytical Thermal Field Theory Applicable to Oil Hydraulic Fluid Film Lubrication. In Proceedings of the ASME/BATH 2014 Symposium on Fluid Power & Motion Control (FPMC). American Society of Mechanical Engineers. 2014. p. 1-8 https://doi.org/10.1115/FPMC2014-7844