Soluções híbridas com uso de transformadas integrais na análise do escoamento em mancais de escora circulares

Abstract

This paper explores the modeling and solution of the Reynolds equation and simulate the problem of hydrodynamic lubrication in bearings of circular anchor shoes with Rayleigh and milled pad. Mathematical modeling of the problem of hydrodynamic flow in bearings with consideration of centrifugal inertial terms produces a modified generic equation Reynolds called Reynolds equation with inertial terms version. This equation is solved by the generalized integral transform technique (TTIG) method, where it transforms the Reynolds equation system for generating a common, endless and non- linear equations for obtaining the analytical and numerical solutions of the field of fluid film pressure, the charge and power consumed by the bearing, where these performance parameters depend on the geometry adopted for the bearing. Thus, four algorithms were originated by the transformed system, and the difference between them are the geometries chosen for the bearings, but all computer codes made use of the traditional way of TTIG. In all codes were implemented in Fortran 90/95 language and solved by routine BVPFD of IMSL (1987) library. The solution to said Reynolds equation expressed using the work dimensionless transfer potential P(r,) that was found for various combinations of dimensionless coefficients that constitute the terms of this equation. The applicability of the technique was verified by comparing the results from the use of GITT the values found by the finite volume method (FVM) in a paper published by Blanco e Prata, 1998 e 2014. Behavior of pressure fields was verified by varying the sizes of the series obtained by computer codes. The results show reasonable convergence.