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Viscoelastic Thin Film Lubrication in Finite Width Channels by Ahmed, Humayun; Biancofiore, Luca is a scholarly article available to read on EtoBox.

What is Viscoelastic Thin Film Lubrication in Finite Width Channels about?

Lubricant viscoelasticity arises due to a finite polymer relaxation time ($\lambda$) and can provide beneficial effects. In applications, such as bearings, gears, biological joints, etc., where the height-to-length ratio is small ($H_0 / \ell_x$) and the shear due to the wall velocity ($U_0$) is high, a simplified two-dimensional computational analysis across the channel length and height reveals a finite increase in the load carrying capacity of the film purely due to polymer elasticity. In channels with a finite length-to-width ratio, $a$, the spanwise effects can be significant, but the resulting mathematical model is computationally intensive. In this work, we propose simpler reduced-order models, namely via a (i) first-order perturbation in the Deborah number ($\lambda U_0 / H_0$), and the (ii) viscoelastic Reynolds approach extended from \textit{Ahmed, H., \& Biancofiore, L. (2021). A new approach for modeling viscoelastic thin film lubrication. Journal of Non-Newtonian Fluid Mechanics, 292, 104524}. We predict the variation in the net vertical force exerted on the channel walls (for a fixed film height) versus increasing viscoelasticity, and the channel aspect ratio. The mod

Author

Ahmed, Humayun; Biancofiore, Luca

Published

2024

Language

EN