Derivation of two-dimensional non-Newtonian Reynolds equation and application to power-law film slider bearings: Rabinowitsch fluid model

Lin, Jaw‐Ren; Chu, Li‐Ming; Hung, Tzu-Chen; Wang, Pin-Yu

doi:10.1016/j.apm.2016.04.030

Cited by 19 publications

(11 citation statements)

References 10 publications

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“…Using the assumptions of the viscous thin film theory for the hydrodynamic lubrication case and Rabinowitsch fluid model explored by Lin et al [27] and Wada et al [28], the both basic equations (motion and continuity) in Cartesian coordinates system can be written as:…”

Section: Governing Equationsmentioning

confidence: 99%

Elastic Deformation Effects on Self-Lubricating Journal Bearings Using Pseudo-Plastic Lubricants

Malki¹,

Larbi

Boubendir

et al. 2021

Tribology Online

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In this study, we have analyzed the effect of elastic deformations on the static characteristics of finite self-lubricating journal bearings. This analysis takes into account the rheological lubricant behavior which obeys to Rabinowitsch law. The governing equations considering both the fluid flow in the porous bush and the fluid film lubricant are based on Rabinowitsch fluid model and solved numerically using the finite difference method. The static performances of the porous journal bearings have been investigated for various parameters such as the elastic deformation parameter, the nonlinear factor which characterizes the pseudo-plastic fluid, the eccentricity ratio and the bush permeability. Obtained results demonstrated that the pseudo-plastic lubricant decreases the characteristics of the porous journal bearings compared to the Newtonian fluid lubricant. This reduction is more pronounced where the effect of both elasticity and permeability of the bush have been considered.

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Section: Governing Equationsmentioning

confidence: 99%

Elastic Deformation Effects on Self-Lubricating Journal Bearings Using Pseudo-Plastic Lubricants

Malki¹,

Larbi

Boubendir

et al. 2021

Tribology Online

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“…In this latter, the widely used expression is a cubic nonlinear relationship between the shear stress and the shear strain rate. This expression was employed by Lin et al 33 and Naduvinamani and Mareppa 34 and given by: where τ x y and τ z y are the lubricant film shear stresses; α is the coefficient of pseudo-plasticity; μ is the initial lubricant viscosity; u and w are the velocity components in the directions of the Cartesian coordinates x and z, respectively.…”

Section: Introductionmentioning

confidence: 99%

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

Manser

Khelladi

Deligant

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part J:

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This study outlines the performances of finite-length journal bearing with textured liner, shear-thinning Rabinowitsch lubricants, and considers the elastic deformation of the bearing liner. The yielded nonlinear Rabinowitsch-Reynolds PDE system has been solved using the finite difference method combined with Elrod’s algorithm for the case of cylindrical textures. The static performance of hydrodynamic lubrication, in this case, involves different parameters such as depth of texture, eccentricity ratio, elastic deformation factor, rheological index, etc. Results showed that, at a fixed eccentricity ratio, texturing of the bearing’s converging area enhances significantly the load-carrying capacity and reduces the friction coefficient compared to the smooth bearing surface (up to [Formula: see text] in load capacity and [Formula: see text] in friction coefficient). On the other hand, using a lubricant with more pronounced shear-thinning behavior and/or elastic liner reduces the journal bearing performances (up to [Formula: see text] in load capacity and [Formula: see text] in pressure). By applying the optimization technique (particle swarm optimization), an optimal arrangement of textures that can compensate for these losses in performance even at high eccentricity has been found. This optimal texture with dimensionless dimple’s depth set to 1 [Formula: see text] improves the load capacity with [Formula: see text] for a lubricant with a rheological index [Formula: see text] and elastic bearing liner with deformation parameter [Formula: see text].

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“…Several theoretical and experimental studies have been carried out to describe the behavior of fluid additives on the performance characteristics of lubricating mechanisms, such as the micropolar model [5], couple stress model [6], power law [7] and Rabinowitsch model [8,9]. Recently, the emphasis has been placed in Rabinowitsch fluid model [10,11]. Many studies were conducted to analyze the effects of this fluid model on the characteristics of various lubricating contacts [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Behaviour of hydrodynamic journal bearing under the combined influence of textured surface and Non-Newtonian Rabinowitsch fluid model

et al. 2021

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In the present study, the static characteristics of hydrodynamic circular journal bearings of finite length are highlighted, using the combined influences of textured surface and non-Newtonian lubricants behavior, obeying to the Rabinowitsch fluid model. The associated nonlinear Rabinowitsch-Reynolds equation has been discretized using finite differences scheme and solved by the mean of Elrod’s algorithm taking into account the presence of cylindrical textures on full/optimum bearing surface. Following to the absence of textures on the bearing surface or the non-Newtonian fluid behavior, the obtained results are in good agreement with the reference ones. The hydrodynamic lubrication static performances are computed for various parameters such as textures location; eccentricity ratio and the rheological coeffcient. The results suggest that texturing the bearing’s convergent zone enhances significantly the load carrying capacity and reduces the friction coeffcient, whereas texturing the full bearing surface may leads to bad performances. It is also noticed that the pseudoplastic lubricant coeffcient decreases the bearing performances (load capacity and pressure) compared to Newtonian fluid cases. Considering the optimal arrangement of textures on the contact surface, a significant improvement in terms of load capacity and friction can be achieved, especially at low pseudoplasticity effect.

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Derivation of two-dimensional non-Newtonian Reynolds equation and application to power-law film slider bearings: Rabinowitsch fluid model

Cited by 19 publications

References 10 publications

Elastic Deformation Effects on Self-Lubricating Journal Bearings Using Pseudo-Plastic Lubricants

Elastic Deformation Effects on Self-Lubricating Journal Bearings Using Pseudo-Plastic Lubricants

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

Behaviour of hydrodynamic journal bearing under the combined influence of textured surface and Non-Newtonian Rabinowitsch fluid model

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