Anharmonic variations in elastohydrodynamic film thickness resulting from harmonically varying entrainment velocity

Abstract

A comprehensive thermal line contact solution has been obtained by using measured rheological properties, both shear and bulk properties, of the two liquids employed in the Glovnea and Spikes experimental observations of anharmonic variation of film thickness. The appearance of the anharmonic response to harmonic variation of velocity was material and frequency dependent. One of the experimental liquids crosses the liquid to glass boundary within the contact and the volume anomaly arising from differences in glass pressure because of temperature variation has been modelled. This is the first thermal elastohydrodynamic analysis to include the history-dependent equation of state (the glass transition). It can be established that anharmonic variation of film thickness from harmonic variation of entrainment velocity cannot be realistically explained from solutions of the Reynolds equation.