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Abstract
A procedure for the numerical solution of the complete isothermal elastohydrodynamic lubrication problem for line contacts is outlined. This procedure calls for the simultaneous solution of the elasticity and Reynolds equations. In the elasticity analysis, the conjunction is divided into equal rectangular areas. It is assumed that a uniform pressure is applied over each area. In the numerical analysis of the Reynolds equation, the parameter π = QH3/2 is introduced in order to help the relaxation process. The analysis couples the elasticity and Reynolds equations, going from the inlet to the outlet without making any assumptions other than neglecting side leakage.
By using the procedures outlined in the analysis, the influence of the dimensionless speed U, load W, and materials G parameters on minimum film thickness is investigated. Ten cases are used to generate the minimum-film-thickness relationship, ℏmin = 3.07 U0.71G0.57W−0.11.
As was first discovered by Dowson and Higginson, the most dominant exponent occurs in association with the speed parameter; the exponent on the load parameter is very small and negative. The materials parameter also carries a significant exponent, although the range of the parameter in engineering situations is limited. The five dimensionless speed parameter values used in obtaining the preceding equation are varied over a range six times the lowest speed value. The four dimensionless load values are varied over a range 1.8 times the lowest load value. Conditions corresponding to the use of solid materials of bronze and steel and lubricants of paraffinic and naphthenic mineral oils are considered in obtaining the exponent in the dimensionless materials parameter.
Plots are presented that indicate in detail the pressure distribution, film shape, and flow within the contact. The characteristic pressure spike is clearly in evidence as is the parallel film shape through the central portion of the contact. Minimum film thickness occurs near the outlet of the contact.
Presented as an American Society of Lubrication Engineers paper at the ASLE/ASME Lubrication Conference in Hartford, Connecticut, October 18–20, 1983
Notes
Presented as an American Society of Lubrication Engineers paper at the ASLE/ASME Lubrication Conference in Hartford, Connecticut, October 18–20, 1983
