Using the Reiner-Philippoff shear stress-shear strain rate relation a modified form of Reynolds equation is derived for a non-Newtonian (shear thinning as well as shear thickening) lubricant under conventional hydrodynamic lubrication approximations. A finite difference iteration scheme with successive over-relaxation incorporating Reynolds boundary conditions is used to obtain the pressure distribution of a cylindrical journal bearing. Steady state performance characteristics such as load capacity, friction and flow rate are obtained for various values of non-linear parameters. The results presented in dimensionless form and applicable to shear-thinning as well as shear-thickening lubricants are compared with established results for New-tonian lubricants. © 1979.

B. V.A. Rao

DILATANT

THIXOTROPIC

V.I. IMPROVER

FLOW OF FLUIDS - Non Newtonian

MATHEMATICAL TECHNIQUES - Finite Difference Methods

Bearings

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

The steady state performance of a hydrodynamic journal bearing with a non-newtonian lubricant

Wear

The necessary conditions for backward whirling motion of a Jeffcott rotor supported in identical hydrodynamic journal bearings are investigated in this paper. Backward whirling motion of the rotor centre is shown to occur if and only if the load parameter is greater than a limiting value corresponding to the flexibility parameter. In spite of the backward whirling motion of the rotor centre, the journal centre is shown to orbit only in the forward sense. © 1986, Academic Press Inc. (London) Limited. All rights reserved.

Journal of Sound and Vibration

Conditions for backward whirling motion of a flexible rotor supported on hydrodynamic journal bearings

This paper presents a brief summary of the influence of journal bearings in machinery with special reference to rotor dynamic problems. The journal bearings considered are Newtonian, non-Newtonina and magnetohydrodynamic and their influence on the critical speeds and stability of rotors is investigated. © 1981.

Tribology International

Bearing influenced rotor dynamics

Starting from the most general type of fluid flow equation connecting cubic shear stress to rate of shear for non-Newtonian lubricants, a modified form of Reynolds' equation was derived for steady finite width journal bearings. The finite difference technique with successive over relaxation was used incorporating Reynolds' boundary conditions for pressure to obtain the pressure distribution and hence the load capacity and the attitude angle. It is shown that the flatter pressure profile and higher load capacity at low eccentricity ratios have practical advantages. The apparent viscosity loss at higher rates of shear decreases the load capacity at higher eccentricity ratios but it is expected that the flatter viscosity temperature slope of the polymer thickened non-Newtonian lubricants will compensate for their apparent viscosity decrease. © 1975.

Calculated load capacity of non-newtonian lubricants in finite width journal bearings

SAE Technical Paper Series

Simulation of Severe Shear Conditions in Lubrication

A Method for Determining the Influence of Multigraded Oils on Journal Bearing Performance

Bulletin of JSME

Hydrodynamic Lubrication of Journal Bearings by Pseudo-Plastic Lubricants : Part 1, Theoretical Studies

Journal	Wear
ISSN	00431648
Open Access	No