Two-way coupled Reynolds, Rayleigh-Plesset-Scriven and energy equations for fully transient cavitation and heat transfer modeling

Braun, M. J.; Pierson, Kristopher; Snyder, Troy

doi:10.1088/1757-899x/174/1/012030

Cited by 6 publications

(7 citation statements)

References 12 publications

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“…A later paper from the same group (Braun et al, 2017) reports on a simulation model for journal bearings that is extended by an energy equation to model temperature effects and heat transfer.…”

Section: Calculations For Bearings Withmentioning

confidence: 99%

Contact Mechanics Perspective of Tribology

2021

Frontiers Research Topics

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Frontiers is more than just an open-access publisher of scholarly articles: it is a pioneering approach to the world of academia, radically improving the way scholarly research is managed. The grand vision of Frontiers is a world where all people have an equal opportunity to seek, share and generate knowledge. Frontiers provides immediate and permanent online open access to all its publications, but this alone is not enough to realize our grand goals. Frontiers Journal SeriesThe Frontiers Journal Series is a multi-tier and interdisciplinary set of open-access, online journals, promising a paradigm shift from the current review, selection and dissemination processes in academic publishing. All Frontiers journals are driven by researchers for researchers; therefore, they constitute a service to the scholarly community. At the same time, the Frontiers Journal Series operates on a revolutionary invention, the tiered publishing system, initially addressing specific communities of scholars, and gradually climbing up to broader public understanding, thus serving the interests of the lay society, too. Dedication to QualityEach Frontiers article is a landmark of the highest quality, thanks to genuinely collaborative interactions between authors and review editors, who include some of the world's best academicians. Research must be certified by peers before entering a stream of knowledge that may eventually reach the public -and shape society; therefore, Frontiers only applies the most rigorous and unbiased reviews. Frontiers revolutionizes research publishing by freely delivering the most outstanding research, evaluated with no bias from both the academic and social point of view. By applying the most advanced information technologies, Frontiers is catapulting scholarly publishing into a new generation. What are Frontiers Research Topics?Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

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Section: Calculations For Bearings Withmentioning

confidence: 99%

Contact Mechanics Perspective of Tribology

2021

Frontiers Research Topics

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“…Disregarding the inertial terms in Eq. (2.2) (as done in [14,21,38]) we obtain the following simplified version of the Rayleigh-Plesset equation where r 1 ∈ C Ω known and p ∈ W 1,q 0 (Ω) is the solution of (2.3).…”

Section: Well-posedness Without Inertial Termsmentioning

confidence: 99%

“…However, in this work the polytropic exponent is set to k = 1 or 1.4 (air specific heat), the former value corresponds to an isothermal process while the latter one corresponds to an adiabatic process, both cases where the energy equation is not needed. Nevertheless, it is worth noticing that there exist related works where the energy equation is also considered (e.g., [38,46]).…”

Section: Future Workmentioning

confidence: 99%

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About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis

Jaramillo

Bayada²,

Ciuperca

et al. 2019

Eur. J. Appl. Math

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In the lubrication area, which is concerned with thin film flow, cavitation has been considered as a fundamental element to correctly describe the characteristics of lubricated mechanisms. Here, the well-posedness of a cavitation model that can explain the interaction between viscous effects and micro-bubbles of gas is studied. This cavitation model consists of a coupled problem between the compressible Reynolds PDE (that describes the flow) and the Rayleigh-Plesset ODE (that describes micro-bubbles evolution). This coupled model seems never to be studied before from its mathematical aspects. Local times existence results are proved and stability theorems are obtained based on the continuity of the spectrum for bounded linear operators. Numerical results are presented to illustrate these theoretical results.

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“…To our knowledge, this kind of models was first used by Tønder [9] for Michell Bearings. After that article, and progressively augmenting the complexity of the gas-nuclei dynamics, several works have been published concerning tilting-pad thrust bearings [10], journal bearings [11,12,13,14], squeeze film dampers [15,16] and parallel plates [17,18].…”

Section: Introductionmentioning

confidence: 99%

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

Jaramillo

Buscaglia

2019

Tribology International

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The coupling of Reynolds and Rayleigh-Plesset equations has been used in several works to simulate lubricated devices considering cavitation. The numerical strategies proposed so far are variants of a staggered strategy where Reynolds equation is solved considering the bubble dynamics frozen, and then the Rayleigh-Plesset equation is solved to update the bubble radius with the pressure frozen. We show that this strategy has severe stability issues and a stable methodology is proposed. The proposed methodology performance is assessed on two physical settings. The first one concerns the propagation of a decompression wave along a fracture considering the presence of cavitation nuclei. The second one is a typical journal bearing, in which the coupled model is compared with the Elrod-Adams model.

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Two-way coupled Reynolds, Rayleigh-Plesset-Scriven and energy equations for fully transient cavitation and heat transfer modeling

Cited by 6 publications

References 12 publications

Contact Mechanics Perspective of Tribology

Contact Mechanics Perspective of Tribology

About a cavitation model including bubbles in thin film lubrication: A first mathematical analysis

A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling

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