Lubrication flow in grinding

Crowson, Zak; Billingham, John; Houston, Paul

doi:10.1007/s10665-024-10383-x

Lubrication flow in grinding

Crowson, Zak; Billingham, John; Houston, Paul

Authors

Mr ZAK CROWSON ZAK.CROWSON2@NOTTINGHAM.AC.UK
Research Fellow

John Billingham

Professor PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Head of School (Professor of Computational and Applied Maths)

Abstract

In the machining process known as grinding, fluid is applied to regulate the temperature of the workpiece and reduce the risk of expensive thermal damage. The factors that influence the transport of this grinding fluid are not well understood; however, it is important to gain understanding in order to try to avoid the unnecessary cost incurred from its inefficient application. In this work, we use the method of matched asymptotic expansions to derive the multiscale system of equations that governs the flow. Under the lubrication approximation, we show that it is possible to calculate the flow rate through the grinding zone without having to solve for the flow far from the grinding zone. Additional empirically determined boundary conditions do not need to be imposed. With this lubrication model, we quantify the effect of experimental parameters on the flow field in the grinding zone and study how the flow regime responds to changes in these parameters.

Citation

Crowson, Z., Billingham, J., & Houston, P. (2024). Lubrication flow in grinding. Journal of Engineering Mathematics, 147(1), Article 12. https://doi.org/10.1007/s10665-024-10383-x

Journal Article Type	Article
Acceptance Date	Jul 3, 2024
Online Publication Date	Jul 25, 2024
Publication Date	Aug 1, 2024
Deposit Date	Jul 5, 2024
Publicly Available Date	Jul 25, 2025
Journal	Journal of Engineering Mathematics
Print ISSN	0022-0833
Electronic ISSN	1573-2703
Publisher	Springer Verlag
Peer Reviewed	Peer Reviewed
Volume	147
Issue	1
Article Number	12
DOI	https://doi.org/10.1007/s10665-024-10383-x
Keywords	Reynolds equation, Matched asymptotic expansions, Grinding, Lubrication
Public URL	https://nottingham-repository.worktribe.com/output/36875671
Publisher URL	https://link.springer.com/article/10.1007/s10665-024-10383-x
Additional Information	Received: 1 March 2024; Accepted: 3 July 2024; First Online: 25 July 2024; : ; : The authors declare no competing interests.

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