AN EFFICIENT ALGORITHM FOR THERMAL ELASTOHYDRODYNAMIC LUBRICATION UNDER ROLLING SLIDING LINE CONTACTS/

One of the most time-consuming routines in thermal EHL problem is the calculation of the surface temperature integral. Combining the multigr id technique and the Newton-Raphson method, a modified multilevel, mul ti-integration algorithm for this integral is developed that can reduc e the computational complexity from O (n(2)) to O (n ln n) for the the rmal EHL problem of rolling/sliding line contacts. The employed standa rd central difference approximation to the coupled Reynolds and energy equations can yield the maximum difference of mass flow flux within o ne percent. Effects of dimensionless load, dimensionless materials par ameter, slip ratio, and thermal loading parameter on the minimum film thickness are investigated. Correlation formula of thermal reduction f actor for the minimum film thickness is derived for a wide range of sl ip ratios, loads, thermal loading parameters, and materials parameters .