MHD Journal Bearing in a Magnetic Field Perpendicular to Its Axis : 1st Report, Analysis of an Infinitely Long Bearing

Sasada, Tadashi; Kurosaki, Yasuo; Honda, Kuniya; Kamijo, Ken

doi:10.1299/jsme1958.17.1645

Cited by 9 publications

(16 citation statements)

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“…The velocity components in circumferential and axial direction is given as. 1,4,5 The details of the computation of velocity components is incorporated in Appendix 1. …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Therefore, an electric field can be achieved by using that the flow of net current will be zero. Therefore 1,5 …”

mentioning

confidence: 94%

“…Therefore, an electric field can be achieved by using that the flow of net current will be zero. Therefore 1,5 Solving the equations (1h) and (1i) using the electric field equations (1j) and (1k) to obtain the fluid velocity component in circumferential as well as axial directions as where Hm=Bocσ/μ is the Hartmann number. Integrating this equations (1l) and (1m) along the film thickness direction from z=0 to z=h gives By Leibnitz’s integration rule, to tackle partial and exact derivatives Integrating the component of circumferential flow rate in the film thickness direction Similarly, integrating the component of axial flow rate in the film thickness direction Normally, w is velocity with which the surfaces are approaching each other i.e. squeeze term Substituting the value of ∫0 h∂u∂xdz, ∫0 h…”

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confidence: 99%

“…Using the above-mentioned assumptions, the Navier–Stokes, equation of motion and continuity equation, equations (1) and (1a) are expressed as 1,25,26 where the term, J→×B→=F→l , is the Lorentz force, N…”

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Influence of bearing surface irregularities on hybrid slot-entry journal bearing with electrically conducting lubricant

Sahu

Sharma

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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This study concerns with the numerical simulation of a hybrid slot entry journal bearing lubricated with electrically conducting lubricant under the influence of magnetic field for both thermal and isothermal conditions. The Navier–Stokes equation has been used to formulate the flow of electrically conducting lubricant through slot restrictor and combining the Lorentz force in the equations of motion, together with the Ohm’s law and Maxwell equations. Further, the effect of surface irregularities on bearing surface is considered to analyse the performance of the slot-entry bearing. The surface irregularities asperity profile has been modelled in both axial as well as circumferential directions. Finite element method is used to solve the Modified MHD Reynolds equation. To compute the bearing performance characteristic parameters, a MATLAB source code based on Gauss–Seidel iteration method has been developed. A comparative numerical analysis has been carried out for an electrically conducting lubricant, Newtonian lubricant, bearing surface having irregularities and bearing with smooth surface. The numerically simulated results indicate that considering the bearing surface irregularities and MHD effects enhances the value of fluid film damping coefficients [Formula: see text] and the value of minimum fluid film thickness [Formula: see text].

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“…The velocity components in circumferential and axial direction is given as. 1,4,5 The details of the computation of velocity components is incorporated in Appendix 1. …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Therefore, an electric field can be achieved by using that the flow of net current will be zero. Therefore 1,5 …”

mentioning

confidence: 94%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Influence of bearing surface irregularities on hybrid slot-entry journal bearing with electrically conducting lubricant

Sahu

Sharma

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…For this reason, liquid metals have been used in nuclear and space engineering applications due to their ability to maintain viscosity at high temperatures. 6 Additionally since these fluids are good electrical conductors, they are amenable to manipulation with electromagnetic forces. Consequently, there has been recent interest in leveraging magnetohydrodynamic (MHD) effects to preserve the performance of squeeze-film bearings in such extreme environments.…”

Section: Introductionmentioning

confidence: 99%

A finite element model for magnetohydrodynamic squeeze-film flows

Wagner

Higgs

2018

Physics of Fluids

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A computational model is developed to analyze magnetohydrodynamic (MHD) squeeze-film flows featuring an electrically conducting fluid subjected to imposed magnetic and electric fields. The model is based on the so-called MHD Reynolds equation for squeeze-films-an extension of the classical hydrodynamic Reynolds equation. A complete derivation of the MHD Reynolds equation is performed by applying thin-film and quasi-steady assumptions to the Maxwell/Navier-Stokes system coupled by the Lorentz force. The resulting equation is a two-dimensional and variable-coefficient Poisson equation for pressure, which reduces to the purely hydrodynamic form in the limit of vanishing Hartmann number. A geometric calculus formulation facilitates the reduction of the mathematical system into two dimensions, which is a challenge in standard vector calculus due to the cross product. The model permits realistic geometrical representations of the constraining squeeze-surfaces, and we demonstrate the use of a multi-variate Weierstrass-Mandelbrot fractal to numerically generate scale-invariant surface roughness profiles. Ultimately, the governing equation is solved with the Galerkin finite element method. Several numerical examples are conducted to highlight some of the model's capabilities. MHD forces-as well as the roughness, geometry, and topology of the squeeze surfaces-are shown to significantly influence flow characteristics. Published by AIP Publishing.

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Dynamic Analysis of a Magnetohydrodynamic Journal Bearing of Circular Cross Section in a Rotating Coordinate Frame

Tripathy

Bhattacharyya

2021

Lecture Notes in Mechanical Engineering

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An infinite journal bearing of circular cross section lubricated with an electrically conducting fluid has been considered for this study. Unlike previous studies involving such bearings encountered by the authors, a rotating coordinate system has been used for deriving the dynamic parameters of the bearing. In addition to the above, the electric field and flow rate relations have been perturbed by use of electromagnetic boundary conditions to eliminate the same from the Reynolds equation. The basic Reynolds equation and its perturbed forms have been solved analytically to derive the stiffness and damping coefficients in the rotating coordinate frame.

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MHD Journal Bearing in a Magnetic Field Perpendicular to Its Axis : 1st Report, Analysis of an Infinitely Long Bearing

Cited by 9 publications

References 0 publications

Influence of bearing surface irregularities on hybrid slot-entry journal bearing with electrically conducting lubricant

Influence of bearing surface irregularities on hybrid slot-entry journal bearing with electrically conducting lubricant

A finite element model for magnetohydrodynamic squeeze-film flows

Dynamic Analysis of a Magnetohydrodynamic Journal Bearing of Circular Cross Section in a Rotating Coordinate Frame

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