On the Steady Performance of Hydrostatic Thrust Bearing: Rabinowitsch Fluid Model

Singh, Udaya P.; Gupta, Ram S.; Kapur, V. K.

doi:10.1080/10402004.2011.597541

Cited by 41 publications

(62 citation statements)

References 14 publications

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“…In the sixties of the past century Rotem and Shinnar [4] returned to the polynomial representation proposing their own model similar to the one of Rabinowitsch. Theoretical considerations and some ranges of experiments carried out by Wada and Hayashi [5,6] indicated on good usefulness the Rabinowitsch fluid to modelling various lubrication problems. These problems have been analyzed by many investigators, for instance as journal bearings were studied by Wada and Hayashi [5,6], Swamy et al [7], Rajalingham et al [8], Sharma et al [9], hydrostatic thrust bearing by Singh et al [10], squeeze film bearings by Hashimoto and Wada [11], Lin [12], Lin et al [13]. More general lubrication problems include hybrid bearings modelled by two generally non-coaxial surfaces of revolution which can work simultaneously as journal and/or thrust bearings.…”

Section: Introductionmentioning

confidence: 99%

Curvilinear Squeeze Film Bearing with Porous Wall Lubricated by a Rabinowitsch Fluid

Walicka

Walicki

Jurczak

et al. 2017

International Journal of Applied Mechanics and Engineering

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The present theoretical analysis is to investigate the effect of non-Newtonian lubricant modelled by a Rabinowitsch fluid on the performance of a curvilinear squeeze film bearing with one porous wall. The equations of motion of a Rabinowitsch fluid are used to derive the Reynolds equation. After general considerations on the flow in a bearing clearance and in a porous layer using the Morgan-Cameron approximation the modified Reynolds equation is obtained. The analytical solution of this equation for the case of a squeeze film bearing is presented. As a result one obtains the formulae expressing pressure distribution and load-carrying capacity. Thrust radial bearing and spherical bearing with a squeeze film are considered as numerical examples.

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Section: Introductionmentioning

confidence: 99%

Curvilinear Squeeze Film Bearing with Porous Wall Lubricated by a Rabinowitsch Fluid

Walicka

Walicki

Jurczak

et al. 2017

International Journal of Applied Mechanics and Engineering

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“…At pseudoplastic non-Newtonian fluids 0   , while at the dilatant ones 0   [13,26,18]. As it can be seen from (26), the nonlinear factor values depend on the coefficient of pseudoplasticity, the lubricant initial viscosity, the velocity of journal, and the radial clearance.…”

mentioning

confidence: 92%

“…According to the thin film theory of hydrodynamic lubrication [25,1,18], the momentum and continuity equations in Cartesian coordinates are represented by the following differential equations:…”

Section: Boundary Value Problemmentioning

confidence: 99%

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

Javorova

Angelova

2018

MATEC Web Conf.

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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.

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“…Muzakkir et al [6] concluded, based on experimental results, that high viscosity lubricants for heavily loaded slow-speed journal bearings, in laminar regime flow, would improve bearing stability; however, no stability boundary region were provided. Lahmar et al and Singh et al [7,8] provided pressure distribution and bearing coefficients for thrust and compliant journal bearings under laminar flow assumption and no discussion were provided at high velocities were fluid film behaves turbulent. All of the abovementioned papers were based on the declaration that fluid-film flow remains laminar.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of short and long journal bearings in laminar and turbulent regimes, application in critical shaft stiffness determination

Hemmati

Miraskari

Gadala

2017

Applied Mathematical Modelling

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Linear and nonlinear stability analysis Hopf bifurcation theory Short and long journal bearings Constantinescu's and Ng −Pan −Elrod turbulent models Critical shaft stiffness a b s t r a c t Linear and non-linear stability of a flexible rotor-bearing system supported on short and long journal bearings is studied for both laminar and turbulent operating conditions. The turbulent pressure distribution and forces are calculated analytically from the modified Reynolds equation based on two turbulent models; Constantinescu's and Ng-Pan-Elrod. Hopf bifurcation theory was utilized to estimate the local stability of periodic solutions near bifurcating operating points. The shaft stiffness was found to play an important role in bifurcating regions on the stable boundaries. It was found that for shafts supported on short journal bearings with shaft stiffness above a critical value, the dangerous subcritical region can be eliminated from a range of operating conditions with high static load. The results presented have been verified by published results in the open literature.

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On the Steady Performance of Hydrostatic Thrust Bearing: Rabinowitsch Fluid Model

Cited by 41 publications

References 14 publications

Curvilinear Squeeze Film Bearing with Porous Wall Lubricated by a Rabinowitsch Fluid

Curvilinear Squeeze Film Bearing with Porous Wall Lubricated by a Rabinowitsch Fluid

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

Dynamic analysis of short and long journal bearings in laminar and turbulent regimes, application in critical shaft stiffness determination

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