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Applied Scientific Research, Section B

, Volume 11, Issue 6, pp 453–460 | Cite as

Magneto-hydrodynamically lubricated externally pressurised bearing with variable film thickness

  • J. B. Shukla
Article

Summary

This paper studies theoretically the use of a conducting lubricant in an externally pressurised bearing with variable film-thickness in the presence of an axial magnetic field. The flow and other characteristics are determined and it is shown that the pressure and load capacity can be increased by increasing the strength of the applied magnetic field at a given flow rate. But at a given feeding pressure the load capacity and pressure do not depend upon the magnetic field. The load capacity of this bearing is greater than that of a bearing having a constant film-thickness. It is also pointed out that the frictional drag on the rotor can be minimised by supplying electrical energy to the system.

Keywords

Applied Magnetic Field Load Capacity Hartmann Number Axial Magnetic Field Flow Flux 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

α

angle which the rotor surface makes with the stator (see fig. 1)

ω

angular velocity of the rotor

φt

terminal voltage between the electrodes

φt.o.c.

open circuit voltage

μ

viscosity of the lubricant

σ

conductivity of the lubricant

B0

strength of the applied magnetic field

Er

radial component of the electric field

h

variable film-thickness

h0

minimum film-thickness

I

total current

Is.c.

short circuit current

L

depth of the recess

M

Hartmann number

p

pressure

pe

exit pressure

pi

inlet pressure

Q

rate of volume flow

r

radial coordinate

R0

radius of the recess

R

outer radius of the stator

Ri

internal resistance

T

frictional drag

u

radial velocity

υ

tangential velocity

W

load capacity

\(\bar W\)

normalised load capacity

z

axial coordinate

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References

  1. 1).
    Hughes, W. F. and R. A. Elco, J. Fluid Mech.13 (1962) 21.CrossRefADSMathSciNetGoogle Scholar
  2. 2).
    Elco, R. A. and W. F. Hughes, WEAR5 (1962) 196.CrossRefGoogle Scholar

Copyright information

© Martinus Nijhoff 1965

Authors and Affiliations

  • J. B. Shukla
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyKanpurIndia

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