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A rotating field mhd hydrostatic thrust bearing

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Abstract

It is found that the load capacity of a magnetohydrodynamic thrust bearing with a rotating disk can be increased by rotating the axial magnetic field at a suitable speed in a direction opposite to that of the disk rotation. This method of improving the bearing performance is considered to be efficient if the Hartmann number is not too large. Thus for a given load, the size and weight of the magnet to be used in a thrust bearing with rotating field can be reduced considerably.

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Abbreviations

a :

radius of plenum recess

b :

outside disk radius

B 0 :

magnetic induction of applied axial magnetic field

Ē :

hE 0 σ 1/2/aωμ 1/2, nondimensionalized electric field

E 0 :

radial electric field at r=a

E r :

radial electric field

h :

half of lubricant film thickness

M :

(σB 20 h 2/μ)1/2, Hartmann number

P :

pressure

P e :

pressure at r=b

P 0 :

pressure at r=a

Q :

volume flow rate of lubricant

Q 0 :

volume flow rate of a nonrotating bearing in the absence of applied magnetic field

r :

radial coordinate

u, v :

fluid velocity components in radial and circumferential directions, respectively

W :

load capacity of bearing

W 0 :

load capacity of a nonrotating bearing in the absence of a magnetic field having a flow rate which the same bearing would have at Hartmann number M

z :

axial coordinate

θ :

azimuthal coordinate

μ :

coefficient of viscosity of lubricant

μ e :

magnetic permeability

ρ :

fluid density

σ :

electrical conductivity

ω :

angular velocity of rotating disk

ω C :

critical disk velocity at which W=0

ω M :

angular velocity of axial magnetic field

\((\omega _{\text{M}} )_{{\text{opt}}}\) :

optimum angular velocity of magnetic field

References

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  2. Maki, E. R., D. C. Kuzma, and R. J. Donnelly, J. Fluid Mech. 26 (1966) 537.

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  3. Krieger, R. J., H. J. Day, and W. F. Hughes, J. Lubr. Tech. Ser. F. Trans. ASME 89 (1967) 307.

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  4. Ramanaiah, G., Appl. Sci. Res. A17 (1967) 305.

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  5. Chow, C. Y., Appl. Sci. Res. 20 (1969) 40.

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  6. Osterle, J. F. and W. F. Hughes, Wear 1 (1958) 465.

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Author information

Authors and Affiliations

  1. Coop. Inst. for Research in the Environm. Sci. and Dept. of Aerospace Eng. Sci., University of Colorado, Boulder, Colo., USA

    Chuen-Yen Chow

  2. Dept. of Aero-Space Engineering, University of Notre Dame, Notre Dame, Ind., USA

    R. D. Brunell

Authors
  1. Chuen-Yen Chow
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  2. R. D. Brunell
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Additional information

On leave of absence from Department of Aero-Space Engineering, University of Notre Dame, Notre Dame (Ind.), U.S.A.

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Chow, CY., Brunell, R.D. A rotating field mhd hydrostatic thrust bearing. Appl. sci. Res. 21, 206–217 (1969). https://doi.org/10.1007/BF00411608

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  • DOI: https://doi.org/10.1007/BF00411608

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