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Research Papers: Hydrodynamic Lubrication

Thermohydrodynamic Study of Multiwound Foil Bearing Using Lobatto Point Quadrature

[+] Author and Article Information
Kai Feng

Department of Mechanical Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japankfeng@fiv.t.u-tokyo.ac.jp

Shigehiko Kaneko

Department of Mechanical Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japankaneko@mech.t.u-tokyo.ac.jp

J. Tribol 131(2), 021702 (Mar 05, 2009) (9 pages) doi:10.1115/1.3070579 History: Received May 16, 2008; Revised September 08, 2008; Published March 05, 2009

The applications of foil air bearings have been extended for use in a wide range of turbomachineries with high speed and high temperature. Lubricant temperature becomes an important factor in the performance of foil air bearings, especially at high rotational speeds and high loads or at high ambient temperature. This study presents a thermohydrodynamic (THD) analysis of multiwound foil bearing, in which the Reynolds’ equation is solved with gas viscosity as a function of temperature that is obtained from the energy equation. Lobatto point quadrature is utilized to accelerate the iteration process with a sparse mesh across film thickness. A finite element model of the foil is used to describe the foil elasticity. An iterative procedure is performed between the Reynolds equation, the foil elastic deflection equation, and the energy equation until convergence is achieved. A three-dimensional temperature prediction of air film is presented, and a comparison of THD to isothermal results is made to emphasize the importance of thermal effects. Finally, published experimental data are used to validate this numerical solution.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Sketch of multiwound foil bearing

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Figure 2

Fluid flow inside foil air bearing

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Figure 3

Geometry model and force analysis of foils

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Figure 4

Flowchart of computational scheme

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Figure 5

Dimensionless air pressure of MWFB from THD calculation (Hmin=1.0 μm, ω=40 krpm)

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Figure 6

Dimensionless film thickness of MWFB from THD calculation (Hmin=1.0 μm, ω=40 krpm)

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Figure 7

Temperature profile (°C) at the midlayer air (z=h/2)(Hmin=1.0 μm, ω=40 krpm)

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Figure 8

Temperature profile (°C) at the middle cross section of the air film (y=L/2)(Hmin=1.0 μm, ω=40 krpm)

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Figure 9

Dimensionless load capacity from THD and isothermal calculations (W¯=W/paR2)

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Figure 10

Dimensionless minimum film thickness from THD and isothermal calculations (Tq¯=Tq/paCR2)

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Figure 11

Maximum rise in the temperature of MWFB as a function of dimensionless load

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Figure 12

Comparison of analysis results and experimental results

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