When you start modelling bearings at Universisty, the standard mathematical tricks are employed...first one is that the bearing is first modeled as infinitely long.
If you imagine an oil molecule leaving the bearing feed hole, it has two directions of motion, one is around the bearing, and the other is towards the side, the ends of the bearing where it drains out...it's a spiral motion.
With an infinitely long bearing, the sideways movement is nil, so you are only concerned about the one plane hydrodynamics. The pressure gradient across the face is inconsequential.
But with a short bearing, like we see in engines, there's a lot of "end" for the oil to leak out...the bearing can't support as much load, and needs more oil supply.
That's where design tables come into play. These are correction curves for
First one is MOFT
Sommerfeld number is again the bottom axis.
This demonstrates the effect of short bearings on MOFT.
Draw a vertical line at say 0.2 on the lower axis, and you can see the difference in MOFT for the various bearing geometries. MOFT for an infinitely long bearing is about 6 times that for a bearing that's 1/4 as long as it's diameter.
Again, consider the parameters that give you increased MOFT.
Also, as per previous comment that the X axis for the Stribeck curve is the second part of the Sommerfeld number, you can see from these curves that the actual slope on the hydrodynamic side of lubrication on the Stribeck curve is geometry sensitive when applied to specific examples.
If you imagine an oil molecule leaving the bearing feed hole, it has two directions of motion, one is around the bearing, and the other is towards the side, the ends of the bearing where it drains out...it's a spiral motion.
With an infinitely long bearing, the sideways movement is nil, so you are only concerned about the one plane hydrodynamics. The pressure gradient across the face is inconsequential.
But with a short bearing, like we see in engines, there's a lot of "end" for the oil to leak out...the bearing can't support as much load, and needs more oil supply.
That's where design tables come into play. These are correction curves for
First one is MOFT
Sommerfeld number is again the bottom axis.
This demonstrates the effect of short bearings on MOFT.
Draw a vertical line at say 0.2 on the lower axis, and you can see the difference in MOFT for the various bearing geometries. MOFT for an infinitely long bearing is about 6 times that for a bearing that's 1/4 as long as it's diameter.
Again, consider the parameters that give you increased MOFT.
Also, as per previous comment that the X axis for the Stribeck curve is the second part of the Sommerfeld number, you can see from these curves that the actual slope on the hydrodynamic side of lubrication on the Stribeck curve is geometry sensitive when applied to specific examples.