Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Thin film theory applied to mathematical modeling of fluidynamic bearings
Submission Author:
Thiago Assis da Silva , MG
Co-Authors:
Thiago Assis da Silva, Aldemir Ap Cavalini Jr, Aristeu Silveira Neto
Presenter: Thiago Assis da Silva
doi://10.26678/ABCM.COBEM2023.COB2023-0603
Abstract
The modeling of fluidynamic bearings has been developed and used based on the classic Reynolds model, with which one can calculate the load that can be sustained and the position of the axle relative to a given load. This theory lends it’self to simulation in a permanent regime or even a pseudo transient, in the sense that the load is supplied and the position that is determined to obtain equilibrium. In the present work, a new proposal for modeling this dynamic system is presented, based on the thin film theory. The proposed model is one-dimensional for velocity, for pressure and for temperature. What is obtained is the average information in the radial direction, but a function of the tangential coordinate and of the time. The axle movement is transmitted to the fluid via modeling the stress between the fluid and the shaft and between the fluid and the bearing. This transient modeling was developed in the present work. The axis starts from rest and accelerates according to a generic function of time. In the proposed model the injected mass flow is incorporated, which results from the extension of the model of two-dimensional flows by having movement according to tangential and axial coordinates. In the present work, the details of the modeling will be presented, but the results are still related to tangential flows. Comparisons with the results of other methods are presented. The promise of this proposal is the modeling and simulation of dynamics of axle-bearing systems in transient regime. Low computational cost is also expected, since the model is one- or two-dimensional. The results to be presented are promising.
Keywords
thin film, Numerical simulation, Lubrication Theory, Hydrodynamic bearings

