In the analysis of hydrodynamic journal bearings the effect of fluid inertia is generally neglected in view of its negligible contribution compared with viscous forces. However, there is a necessity to evaluate its effect at moderate values of the modified Reynolds number. An attempt is made to study the effect of fluid inertia on the stability of journal bearing for a flow in the laminar regime, i.e. for a value of the modified Reynolds number of the order of one. A linear perturbation technique is used to find the dynamic characteristics and stability of a finite journal bearing.
PinkusO.SternlichtB.Theory of Hydrodynamic Lubrication, 1961 (McGraw-Hill, New York).
2.
BanerjeeM. B.ShandilR. G.KatyalS. P.DubeG. S.PalT. S.BanerjeeK.A nonlinear theory of hydro-dynamic lubricationJ. Math. Analysis Applic., 1986, 117, 48–56.
3.
ReinhardtE.LundJ. W.The influence of fluid inertia on the dynamic properties of journal bearingsTrans. ASME, J. Lubric. Technol., 1975, 97, 159–167.
4.
ChenC.-H.ChenC.-K.The influence of fluid inertia on the operating characteristics of finite journal bearingsWear, 1989, 131, 229–240.
5.
KakotyS. K.MajumdarB. C.The influence of fluid inertia on the steady-state characteristics and stability of journal bearings. In Proceedings of the Ninth National Conference onMachines and Mechanisms, Kanpur, India, 1997, pp. B-15–B-26 (Indian Institute of Technology, Kanpur).
6.
ConstantinescuV. N.GaletuseS.On the possibilities of improving the accuracy of the evaluation of inertia forces in laminar and turbulent filmsTrans. ASME, J. Lubric. Technol., 1974, 96 (1), 69–79.
7.
MajumdarB. C.BreweD. E.KhonsariM. M.Stability of a rigid rotor supported on flexible oil journal bearingsTrans. ASME, J. Tribology, 1988, 110, 181–187.
