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RESEARCH PAPERS

The Effect of Inertia on Radial Flows—Application to Hydrostatic Seals

[+] Author and Article Information
Noël Brunetière

Laboratoire de Mécanique des Solides, UMR CNRS 6610, Université de Poitiers, S.P.2M.I., BP 30179, 86962 Futuroscope Chasseneuil Cedex, Francenoel.brunetiere@lms.univ-poitiers.fr

Bernard Tournerie

Laboratoire de Mécanique des Solides, UMR CNRS 6610, Université de Poitiers, S.P.2M.I., BP 30179, 86962 Futuroscope Chasseneuil Cedex, France

J. Tribol 128(3), 566-574 (Mar 21, 2006) (9 pages) doi:10.1115/1.2195461 History: Received December 19, 2005; Revised March 21, 2006

A theoretical study of thin fluid film flows between rotating and stationary disks is presented. Inertia terms are included using an averaged method. It is assumed that inertia effects do not influence the shape of velocity profiles. It is shown that this assumption applies in many cases encountered in fluid film lubrication. The model is validated by comparison with experimental data and previous theoretical studies. A thermoelastohydrodynamic analysis of a hydrostatic seal is performed. The substantial influence of inertia terms on leakage rate prediction is demonstrated.

Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometric configuration

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Figure 2

Circumferential velocity profile

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Figure 3

Comparison of the assumed and calculated radial velocity profiles in a laminar flow between parallel flat disks

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Figure 4

Comparison of the assumed and measured radial velocity profiles in a turbulent flow between parallel flat disks

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Figure 5

Comparison of the assumed and calculated radial velocity profiles in a laminar flow between rotating and stationary flat disks

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Figure 6

Comparison of the assumed and calculated second order circumferential velocity profiles in a laminar flow between rotating and stationary flat disks

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Figure 7

Influence of the preswirl ratio on the inlet circumferential velocity profile

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Figure 8

Comparison of analytical and numerical radial pressure distributions between stationary and rotating flat disks

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Figure 9

Comparison of experimental and numerical radial pressure distributions in the laminar flow between two stationary flat disks

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Figure 10

Comparison of experimental and numerical radial pressure distributions in the turbulent flow between two stationary flat disks

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Figure 11

Comparison of numerical radial pressure distributions in the laminar flow between a stationary and a rotating flat disk

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Figure 12

Configuration of the studied hydrostatic seal

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Figure 13

Leakage rate of the seal versus the angular velocity of the shaft for a balance ratio of 0.788

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Figure 14

Leakage rate of the seal versus the angular velocity of the shaft for a balance ratio of 0.701

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Figure 15

Temperature field in the fluid film for a balance ratio of 0.701 and a rotation speed of 2000rpm

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Figure 16

Influence of the preswirl velocity of the fluid on the leakage rate for a balance ratio of 0.701

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