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Rolling Element, Hydrodynamic and Hydrostatic Bearings
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therefore built up When the motion is reversed, the lubricant is sucked in, and the film recovers This phenomenon controls the build-up of a water film under the tyres of automobiles and airplanes on wet roads and landing strips (commonly known as hydroplaning) so that they virtually have no relative sliding motion Also, elasto-hydrodynamic lubrication occurs in heavily loaded contact bearings such as in rolling element bearings The loaded zone is subjected to a high pressure which increases the area of the load zone due to elastic deformation and increases the load-carrying capacity The combination of elastic deformation and hydrodynamic effects govern the load-carrying characteristic of this type of lubrication [5] The Stribeck curve, shown in Figure 620 [13], illustrates the influence of three basic parameters viscosity, rotating speed and bearing unit load on the type of lubrication and the resulting friction coefficient For a rotating journal bearing, the combination effect of these three factors, in relation to the friction in the bearing, can be evaluated by computing the bearing parameter, n/P The higher the viscosity, , the lower is the rotating speed needed to float the journal at a given load An Fig 620: Coefficient of friction versus the dimensionless variable, n/P increase in viscosity beyond the Stribeck curve [13] that necessary to establish full-film or hydrodynamic lubrication produces more bearing friction by increasing the forces needed to shear the oil film On the other hand, the higher the rotating speed, the lower is the viscosity needed to float the journal at a given load Once hydrodynamic lubrication is achieved, further increases in rotating speed produce a greater bearing friction by increasing the time rate at which work is done in shearing the oil film Meanwhile, the unit bearing load, P, is defined as the load, W, divided by the bearing projected area, which is the journal diameter, D, times bearing length, L The smaller the bearing unit load, the lower is the rotating speed and the viscosity needed to float the journal Further reductions in the bearing load do not produce corresponding reductions in the bearing friction drag force Thus, the bearing friction coefficient increases
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At low values of n/P, boundary lubrication occurs, and the coefficient of friction is high and the value of coefficient of friction is in the range of 008 014 At the high values of n/P, the full hydrodynamic film is created, and the value of coefficient of friction is normally in the range of 0001-0005 [14] For design purposes, the mixed film zone is usually avoided because it is difficult to accurately predict its performance as a small change in any of the three values of , P and n produces a large change in the coefficient of friction
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633 Principle of Hydrodynamic Bearings
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Hydrodynamic lubrication is only possible if the operation fulfils three main criteria that are relative motion of the surfaces to be separated, wedging action due to the shaft eccentricity and the presence of a suitable viscous fluid Figure 621 (a) shows a loaded journal bearing at rest The bearing clearance space is filled with a lubricant, but the load has squeezed out the lubricant film at the bottom of the shaft A slow rotation of the shaft will cause it to roll to the right, as shown in Figure 621 (b) If the rotating speed of the shaft is progressively increased, more and more oil adhering to the journal surface tries to come into the contact zone until finally enough pressure is built up just ahead of the contact zone to float the shaft as shown in Figure 621 (c) In this steady-state, the journal gets offset from the direction of the load and produces a certain eccentricity, e, between the geometric centre of the bearing and the centre of the journal, and there is a point of minimum film thickness, ho, at the nose of the wedge-shaped pressurized zone This constitutes hydrodynamic lubrication also known as full-film or thick-film lubrication
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Fig 621: Journal bearing lubrication [13]
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