A nonlinear theory of hydrodynamic lubrication

Banerjee, Mihir B.; Shandil, R. G.; Katyal, Sachin; Dube, G.S; Pal, Tanmoy; Banerjee, Kalyan

doi:10.1016/0022-247x(86)90247-7

Cited by 22 publications

(12 citation statements)

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“…Some original hard work to describe laminar to turbulent areas of lubricant flow was stated in the Pinkus and Sternlicht's research [21]. Such method was lengthy by Banerjee et al [22] to procedure a further widespread type of Reynolds reckoning together with inertial relations. In a research by Chen and Chen [23] the belongings of inertial layer of fluid on limited length journal bearings examined and that research displays just minor contribution are understood for the journal bearings with modest number of Reynolds.…”

Section: Introductionmentioning

confidence: 99%

Effects of Nanoparticle Enhanced Lubricant Films in Dynamic Properties of Plain Journal Bearings at High Reynolds Numbers

Jamalabadi

2017

IJET

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Abstract. The aim of this paper is numerical analysis of plain journal bearing with Nano particle added lubricating oil. The fluid film bearing is studied with the modified Reynolds equation which considered time dependent inertia effects at rotating speeds with the linearized turbulence. The research is performed for numerous nano-fluids include nanoparticles of CuO, TiO 2 , Ag and Cu and SAE 20W50 as a base fluid. The time transient governing equations include the incompressible mass conservation equation, Navier-Stokes momentum equations for thin film lubrication, and full kinematic including shaft accelerations are solved numerically. Two cases of long and short bearings are studied with Sommerfeld and Gumbel boundary conditions. Linearized force coefficients such as mass, stiffness and damping factors are obtained for an ordinary journal bearing. The ordinary plain journal bearing velocity response and the rotor displacements when sudden forces applied by rigid rotor symmetrically is achieved. The results prove that using the nanoparticle enhanced lubricant causes higher mass coefficients, damping ratios and fluid effective stiffness.

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Section: Introductionmentioning

confidence: 99%

Effects of Nanoparticle Enhanced Lubricant Films in Dynamic Properties of Plain Journal Bearings at High Reynolds Numbers

Jamalabadi

2017

IJET

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“…Among the few studies related to effect fluid inertia effect, Constatinescu and Galetuse [2] evaluated the momentum equations for laminar and turbulent flows by assuming the velocity profiles is not strongly affected by the inertia forces. Banerjee et.al [3] introduced an extended form of Reynolds equation to include the effect of fluid inertia, adopting an iteration scheme. Chen and Chen [5] obtained the steady-state characteristics of finite bearings including inertia effect using the formulation of Banerjee et al [3].…”

Section: Introductionmentioning

confidence: 99%

“…Banerjee et.al [3] introduced an extended form of Reynolds equation to include the effect of fluid inertia, adopting an iteration scheme. Chen and Chen [5] obtained the steady-state characteristics of finite bearings including inertia effect using the formulation of Banerjee et al [3]. Kakoty and Majumdar [4,13] used the method of averaged inertia in which inertia terms are integrated over the film thickness to account for the inertia effect in their studies.…”

Section: Introductionmentioning

confidence: 99%

Steady State Performance Characteristics of Isoviscous Finite Flexible Oil Journal Bearings Including Fluid Inertia Effect

Ghosh¹,

Mazumder²,

Majumdar³

2017

IJERT

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Abstract:The aim of this work is to analyse the steady state on performance characteristics of hydrodynamic journal bearing including combined effect of bearing liner surface deformation and fluid-inertia. The average Reynolds equation that modified to include the fluid inertia effect and surface deformation is used to obtain pressure field in the fluid-film. The solutions of modified average Reynolds equations are obtained using finite difference method and appropriate iterative schemes. The effects of surface deformation factor and modified Reynold's number on circumferential fluid-film pressure distribution, load carrying capacity, attitude angle, and end flow of the bearing are studied for various eccentricity ratio, slenderness ratio, Poisson ratios, and liner thickness to radius ratio. The steady state bearing performance analysis is done through parametric study of the various variables like modified Reynolds number, eccentricity ratio, slenderness ratio, attitude angle, surface deformation factor. The variation of bearing load carrying capacity, attitude angle, end flow, friction parameters has been studied and plotted against various parameters.Keyword-Modified Reynolds number, slenderness ratio, attitude angle, sommerfeld number, eccentricity ratio, journal bearings, inertia, and deformation factor.

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“…The effect of fluid inertia has been studied by many researchers for turbulent flow using long and short bearing approximations.However,there are few publications which deal only with the intermediate regime for finite oil journal bearings.Reinhardt and Lund [19] studied the dynamic characteristics based on first-order perturbation solution starting from the Navier-stokes equation.Banerjee et al [5] introduced an extended form of Reynolds equation to include the effect of fluid inertia adopting an iteration scheme.…”

Section: Introductionmentioning

confidence: 99%

Stability of Flexibly supported Finite Oil Journal Bearings including Fluid Inertia and surface Roughness Effect: A Non-linear Transient Analysis

Bandyopadhyay¹,

Mazumder²,

Majumdar³

2017

IJERT

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The aim of this study is to analyse the Non-linear transient stability of finite oil journal bearing including the effect of fluid inertia and bearing surface roughness. The inertia effect is usually ignored in view of its negligible contribution compared to viscous force.However,fluid inertia effect is to be taken in the analysis when modified Reynolds number is around one.This investigation deals with the stability of flexibly supported finite rough oil journal bearing with fluid film inertia effect using finite difference method.An attempt has been made to evaluate the critical mass parameter. A non-linear time transient method is used to simulate the journal centre trajectory to estimate the stability parameter,which is a function of speed. In the present work,a modified form of Reynolds equation is developed to include the combined influence of fluid inertia and surface roughness for the analysis of finite oil journal bearing.The modified average Reynolds equation considering inertia effect with flow simulation model of rough surfaces (Patir and Cheng [1, 2] is solved by a finite difference method with a successive over-relaxation scheme (Gauss-Siedel),while the equation of motion of both the journal and bearing are solved by the fourth-order Runge-Kutta method. The stability increases with the increase of eccentricity ratio and modified Reynold's numbers.

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A nonlinear theory of hydrodynamic lubrication

Cited by 22 publications

References 0 publications

Effects of Nanoparticle Enhanced Lubricant Films in Dynamic Properties of Plain Journal Bearings at High Reynolds Numbers

Effects of Nanoparticle Enhanced Lubricant Films in Dynamic Properties of Plain Journal Bearings at High Reynolds Numbers

Steady State Performance Characteristics of Isoviscous Finite Flexible Oil Journal Bearings Including Fluid Inertia Effect

Stability of Flexibly supported Finite Oil Journal Bearings including Fluid Inertia and surface Roughness Effect: A Non-linear Transient Analysis

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