Issues related to the numerical simulation of herringbone grooved journal bearing including cavitation condition

Abstract

This study aims to address the complexities involved in determining the numerical solution of herringbone grooved journal bearing considering cavitation. A modification is made to the Reynolds’ equation to include the effect of cavitation as given by Elrod's cavitation algorithm. Grid transformation is performed to consider the effect of the inclined grooves. The partial differential equation is discretised using finite-difference method. Then, the solution of the resulting set of equations is determined by the alternating-direction implicit method and the pressure, load capacity and attitude angle are obtained. Time step (Δ t) and Bulk modulus have a significant impact on the convergence of the numerical solution incorporating Elrod's cavitation algorithm. Use of alternating-direction implicit method over point by point method like Gauss–Seidel is essential to obtain convergence. Load capacity of the herringbone grooved journal bearing rises with the rise in eccentricity ratio. As compared to the Reynolds boundary conditions, Elrod's model results into lower attitude angle for herringbone grooved journal bearing. Cavitation distribution for herringbone grooved journal bearing is much lower than that of plain journal bearing. The effect of variation of groove angle on the herringbone grooved journal bearing's load capacity, side leakage and friction parameter is also determined. A detailed discussion on the various complexities such as treatment at groove ridge boundaries; numerical oscillations; choice of time step and bulk modulus; and influence of compressibility in the Couette term in full film region in the numerical analysis of herringbone grooved journal bearing specifically considering cavitation is given in this work. Multiple methods to deal with the aforementioned complexities are examined and appropriate solutions are obtained.

Structural selection of liquid hydrogen lubricated herringbone spiral-grooved thrust bearing considering viscous dissipative heat

“…12 The cavitation conditions of herringbone groove journal bearings are also studied numerically. 13 In addition to water-lubricated SGTB, the relationship between vibration frequency and cavitation of oil-lubricated journal bearings has also been investigated experimentally. 14 Numerical studies on liquid lubricated bearings have also been greatly developed.…”

A decoupled approach to enhance the Elrod algorithm

“…The Elrod algorithm is a famous cavitation algorithm that can efficiently solve the bearing cavitation problem. [1][2][3][4][5][6][7][8] The algorithm was proposed by Elrod and Adams 9 in 1974 and later improved by Elrod 10 in 1981. Since its inception, the algorithm has attracted wide attention for its mass-conserving approach to the study of bearing cavitation.…”

An explicit cavitation multigrid algorithm for accelerating simulation of surface-textured bearings

“…The influence of cavitation has attracted much attention in the hydrodynamic bearings due to the deepening research on the surface-textured bearings. [1][2][3][4][5][6][7][8][9][10] In order to accurately simulate the cavitation phenomenon, the massconserving algorithm is often required. The Elrod algorithm 11 was the first efficient way to implement the wellknown Jakobsson and Floberg 12 and Olsson 13 (JFO) theory.…”