On the modified Reynolds equation for journal bearings in a case of non-Newtonian Rabinowitsch fluid model

Abstract

Abstract. In this paper, a theoretical analysis of hydrodynamic plain journal bearings with finite length at taking into account the effect of nonNewtonian lubricants is presented. Based upon the Rabinowitsch fluid model (cubic stress constitutive equation) and by integrating the continuity equation across the film, the nonlinear modified 2D Reynolds type equation is derived in details so that to study the dilatant and pseudoplastic nature of the lubricant in comparison with Newtonian fluid. A dimensionless equation of hydrodynamic pressure distribution in a form appropriate for numerical modeling is also presented. Some particular cases of 1D applications can be recovered from the present derivation.

MHD Effect on Peristaltic Transport for Rabinowitsch Fluid through A Porous Medium in Cilia Channel

“…Kumare [9] analyzed the effect of slip condition on the peristaltic flow of Rabinowitsch fluid in the non-uniform channel. Many other studies about using the Rabinowitsch fluid have been also reported [10][11][12][13][14][15]. The study of the effective magnetic field through a fluid in the channel has become an increasingly attractive research area [16,17].…”

Performance of hydrodynamic textured journal bearing with the combined influence of elastic deformation and pseudo-plastic lubricant

“…It should be noted that in the literature review, many studies have been reported on elastohydrodynamic lubrication of journal bearings considering the rheological behavior of lubricants. Among these research studies, we can cite that of Javorova et al, 31 where the performances of finite bearings lubricated with dilatant and pseudo-plastic Rabinowitsch flow models are investigated under the elastic deformation of the bearing liner. They have reported that the joint influence of elastic deformation and lubricants rheology significantly affects the main bearing characteristics.…”

“…However, journal bearings with rigid linear and different geometrical configurations and operating conditions are the most studied sliding bearings. We may cite the following study examples: infinitely long, 35 short 36 and finite-length width 37,38 plain and partial bearings, porous bearings, 39 hydrostatic, 40 hybrid, 41 and non-circular elliptical, 42 two-lobe 43 and conical 44 journal bearings, etc. It should be noted that in the literature review, many studies have been reported on elastohydrodynamic lubrication of journal bearings considering the rheological behavior of lubricants.…”

“…If the viscosity doesn't change according to the applied shear rate, that means that the lubricant is Newtonian fluid, if it does, the lubricant is called a non-Newtonian fluid, which is the case for most lubricants. 20 To investigate the rheological behaviors of the fluid additives on the performance characteristics of hydrodynamic and elastohydrodynamic lubricating mechanisms, several non-Newtonian fluid models such as Micropolar, [21][22][23] couple stress, [24][25][26] power law, 27,28 and Rabinowitsch [29][30][31] have been proposed in both experimental and theoretical studies. Recently, the emphasis has been placed on the Rabinowitsch fluid model, as it is more suitable in describing the rheological behavior of the lubricant when a nonlinear connection between shear stress and strain rate occurs.…”

Lubrication of journal bearings by shear thinning lubricants using different constitutive models

“…1 Nowadays journal bearings are still used in many advanced applications such as turbomachinery, aircraft engines, machine tools and automotive applications. 2 The shaft supporting system is very important for the performance of industrial rotary machines. Hydrodynamic bearings are able to carry the load under severe conditions, providing stabilizing support for the rotating shaft when subjected to unexpected dynamic forces.…”