Abstract
An asymptotic analysis of the three-dimensional motion of a piston ring in its groove is presented, with appropriate nondimensional scaling. It is shown that the calculations in the literature use both a regular expansion and a multiple time scale expansion. The analysis is used to develop three ideas. First, the nondimensional parameters on which friction, F, and oil flow under the ring, Q, are identified. The variations of F and Q with the nondimensional parameters are calculated. Second, it is shown that for normal wear on the second ring of a 2.6-L engine, there is a fivefold azimuthal variation in Q, suggesting that the azimuthal symmetry assumption must be relaxed, and that wear patterns must be taken into account in oil consumption calculations. Finally, a novel, gas-lubricated ring is described, and the variations in F and Q with nondimensional parameters calculated. Overall, it is found that the approach substantially simplifies the friction and oil consumption problem in reciprocating engines: for oil-lubricated rings, F and Q vary with only four nondimensional parameters. For gas-lubricated rings, F and Q vary with only three nondimensional parameters.
Presented at the 39th Annual Meeting in Chicago, Illinois, May 7–10, 1984
Notes
Presented at the 39th Annual Meeting in Chicago, Illinois, May 7–10, 1984