Rheodynamic lubrication of a journal bearing |
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Authors: | R L Batra |
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Institution: | (1) Department of Applied Mathematics, Indian Institute of Technology, Bombay, Powai, Bombay-76, India |
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Abstract: | Summary The problem of a journal bearing lubricated by a Bingham material has been solved. It has been found that the load capacity, and the moment of friction of the bearing are larger than in a journal bearing, lubricated with a Newtonian material.Nomenclature
r
radius of the journal
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c
radial clearance
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r + c
radius of the bearing
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e
eccentricity
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w
angular velocity of the journal
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h
thickness of the lubricant film at any point
-
thickness of the core
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ø
angular distance of a point, from the point, where film thickness is maximum
-
eccentricity ratio (e/c)
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x
distance along the bearing surface
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y
distance normal to the bearing surface
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T
shear stress in the lubricant
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T
0
yield value of a Bingham solid
-
viscosity of a Newtonian fluid
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plastic viscosity of a Bingham solid
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p
fluid pressure in the lubricant film
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Q
volume flow of the lubricant
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W
0
load capacity of the bearing for ordinary lubricants
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W
load capacity of the bearing
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M
moment of friction
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F
coefficient of friction
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1
maximum thickness of the inlet core
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2
maximum thickness of the outlet core
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1
circumferential extent of the inlet core in the journal bearing
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2
circumferential extent of the outlet core in the journal bearing
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h
0
minimum hieght of core formation in the slider bearing
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h
p
maximum height of core formation in the slider bearing
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u
velocity of the fluid in the direction of x in the slider bearing
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V
velocity in the y direction
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h
1
height of the inlet core at the circumferential extent
1
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h
2
height of the outlet core at the circumferential extent
2
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h
3
height of the outlet core in the region
2![les](/content/w7505598552522p7/xxlarge10877.gif) ![phgr](/content/w7505598552522p7/xxlarge966.gif) ![les](/content/w7505598552522p7/xxlarge10877.gif)
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q
Q/(cwr)
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q
0
value of q for Newtonian lubricants
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p
0
pressure at =0
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H
h/c
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H
1
h
1/c
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H
2
h
2/c
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B
T
0
C/ wr = Bingham number |
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Keywords: | |
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