The magnetohydrodynamic squeeze film

Kuzma, Dennis C.; Maki, E. R.; Donnelly, Russell J.

doi:10.1017/s0022112064000805

Cited by 70 publications

(27 citation statements)

References 2 publications

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“…(15) into Eq. (14). As a vindication of the above simple approach, variations of p t1max were found to be proportional to h −1.…”

mentioning

confidence: 73%

“…Experimental investigations have been relatively few: Brindley et al 12 and PhanThien et al 13 have verified Stefan's 2 equation for fixed applied loads and disk velocities, respectively, while the experiments of Kuzma et al 14 were corroborated by his analysis, covering Reynolds numbers (Re ≡ḣh/ν, where h andḣ are disk separation and disk rate of separation, respectively) up to about 60.…”

Section: Introductionmentioning

confidence: 95%

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An experimental study of highly transient squeeze-film flows

2013

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The aim of this work was to extend a previous investigation of the flow between two parallel disks (one of which was stationary) that have been subjected to a constant energy impact arising from a falling mass onto the upper disk assembly. Whereas the previous work considered the measurement of centreline pressures and distance between the plates only, for a single case, the current work in addition entailed monitoring of pressures at 45% and 90% of disk radius, under 28 combinations of drop height (100 to 1000 mm), drop mass (10 to 55 kg), and initial disk separation (3 to 10 mm), each with 5 repeat tests. Over the duration of the phenomenon (about 3.5 to 10 ms), four basic features were identified: (1) during initial impact under the dominance of temporal inertia, a preliminary pressure spike with peak pressures occurring at a displacement change of less than 0.25 mm from the initial disk separation; (2) an intermediate region with lower pressures; (3) pressure changes arising from a succession of elastic momentum exchanges (bounces) between the colliding masses; and (4) the final largest pressure spike towards the end of the phenomenon, where viscous effects dominate. Regions (1) and (4) became merged for smaller values of initial disk separation, with region (2) being obscured. A previously developed quasi-steady linear (QSL) model conformed satisfactorily with pressures measured at the centre of the lower disk; however, substantial deviations from radially parabolic pressure distributions were encountered over a range of operating parameters during the preliminary pressure phenomenon, unexpected because they implicitly conflict with the generally accepted concept of parallel flows and radially self-similar velocity profiles in such systems. Measurements of maximum pressures encountered during the preliminary and final pressure events agreed satisfactorily, both with the QSL model and with a simple but effective scaling analysis.

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“…(15) into Eq. (14). As a vindication of the above simple approach, variations of p t1max were found to be proportional to h −1.…”

mentioning

confidence: 73%

Section: Introductionmentioning

confidence: 95%

An experimental study of highly transient squeeze-film flows

2013

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“…The MHD lubrication in an externally pressurized thrust bearing has been investigated both theoretically and experimentally by Maki et al [32]. Hughes and Elco [33] and Kuzma et al [34] have investigated the effects of a magnetic field in lubrication. These authors had neglected the inertial terms in the Navier-Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Rotating Flow of a Fourth Grade Fluid Between Two Parallel Infinite Plates

Rana¹,

Ahmed²,

Qamar³

2012

Topics in Magnetohydrodynamics

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“…The MHD lubrication in an externally pressurized thrust bearing has been investigated both theoretically and experimentally by Maki et al [16]. Other authors that have investigated the effects of a magnetic field in lubrication include [12] and [15] for instance. These authors had neglected the inertial terms in the Navier-Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Squeezing Flow of a Viscous MHD Fluid Between Parallel Plates, a Solution Using the Homotopy Perturbation Method

Siddiqui

Irum

Ansari

2008

Mathematical Modelling and Analysis

136

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Abstract. The present paper analyses the unsteady 2-dimensional flow of a viscous MHD fluid between two parallel infinite plates. The two infinite plates are considered to be approaching each other symmetrically, causing the squeezing flow. A similarity transformation is used to reduce the partial differential equations modeling the flow, to a single fourth-order non-linear differential equation containing the Reynolds number and the magnetic field strength as parameters. The velocity functions are obtained for a range of values of both parameters by using the homotopy perturbation method. The total resistance to the upper plate is presented.

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The magnetohydrodynamic squeeze film

Abstract: Magnetohydrodynamic squeeze films are investigated theoretically and experimentally. The theory of magnetohydrodynamic lubrication as applied to squeeze films is extended to include fluid-inertia effects and buoyant forces. Excellent agreement is obtained between theory and experiment.

Cited by 70 publications

References 2 publications

An experimental study of highly transient squeeze-film flows

An experimental study of highly transient squeeze-film flows

Magnetohydrodynamic Rotating Flow of a Fourth Grade Fluid Between Two Parallel Infinite Plates

Unsteady Squeezing Flow of a Viscous MHD Fluid Between Parallel Plates, a Solution Using the Homotopy Perturbation Method

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