The absence of Elastohydrodynamic Lubrication (EHL) between the first piston compression ring (top ring) and the liner surface in the initial engine startup causes adhesive wear whereas the presence of such a film enhances engine life by wear prevention. In the current work, a two dimensional model is presented for barrel-faced ring profile by considering elastic deformation and EHL. A non-axisymmetric elliptical cylinder bore and an elastic ring are considered to determine circumferential flow. The EHL film profile is generated by solving the two dimensional Reynolds equation using inverse solution technique and finite difference method in fully flooded lubrication condition. The results show that piston ring lubrication depends on the bore shape or bore out-of-roundness and lubricating film thickness due to which circumferential flow gets significantly reduced during the initial engine start up
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