Journal-Bearing Velocity Profiles for Small-Eccentricity and Moderate Modified Reynolds Numbers

Abstract

The velocity profiles for an infinite, cylindrical bearing are obtained by means of a small-eccentricity perturbation calculation. The modified Reynolds number appears as a parameter, and velocity profiles are presented for modified Reynolds numbers of 10−3, 10−2, 10−1, 1, 10, and 102. The most significant difference in the velocity profiles for the various Reynolds numbers is the appearance of components which are 90 deg out of phase with the film thickness at the larger values of the modified Reynolds number. The consequences of these components are discussed.

A singular perturbation solution of viscous incompressible fluid flow between two eccentric rotating cylinders

“…Kamal considered inertia effects, and expanded flow quantities in terms of inverse powers of kinematic viscosity. Kulinski and Ostrach [11] obtained velocity components for small eccentricity and moderate Reynolds numbers using perturbation method. Diprima and Stuart [4] worked on this and also got pressure distribution and torque.…”

Single Droplet Break-up in Controlled Mixed Flows

“…Alternatively, controlled mixed flow conditions can also be applied using an eccentric cylinder system (see Figure a). This flow geometry has been well-studied in the area of lubrication phenomena occurring in journal bearings − . Ottino and co-workers − were the first to employ the flow generated between eccentric cylinders to disperse one fluid into another.…”

“…This flow geometry has been well-studied in the area of lubrication phenomena occurring in journal bearings (32)(33)(34). Ottino and co-workers (35)(36)(37) were the first to employ the flow generated between eccentric cylinders to disperse one fluid into another.…”

Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls

“…As no restriction was laid on the clearance ratio, the analysis is somewhat complicated when applied to the lubrication problem. Kulinski and Ostrach [7] also have considered the effect of inertia on the flow in a journal bearing by using a perturbation procedure for small eccentricity. Sood and Elrod [12] have used numerical techniques to solve the full Navier-Stokes equations for the flow between eccentric rotating cylinders but for a clearance ratio of 1.0 only.…”