Existence and uniqueness for a coupled Rayleigh-Plesset/Reynolds problem with application to the noise of the articular knuckle cracking

G Bayada, IS Ciuperca - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this paper we consider some mathematical models for the evolution of cavitation bubbles
in the synovial fluid of some articular knuckle which allows to explain the sounds produced …

About a cavitation model including bubbles in thin film lubrication taking convection into account

G Bayada, I Ciuperca - Quarterly of Applied Mathematics, 2022 - ams.org
In lubrication problems, which concern thin film flow, cavitation has been considered as a
fundamental element to correctly describe the characteristics of lubricated mechanisms. This …

Optimum design for slip/no-slip configuration of hydrodynamic fluid film using Gradient method

G Bayada, MEA Talibi, M HILAL - 2024 - researchsquare.com
We study a non-convex, non-differentiable optimization problem in thin film lubrication,
where the state equation is a variational inequality. The goal is to find the optimal partition of …

Multiphysics Cavitation Model with Application to Self-Circulating Journal Bearings

EJ Clifford - 2024 - rave.ohiolink.edu
A physics-based gaseous cavitation model for a self-circulating bearing is proposed.
Bearing applications often require external pumping systems to provide the necessary …