Lubrication and Heat Transfer in a Crown-Compensated Press Roll

Abstract

This study analyzes the lubrication problem in the channel formed by the inside surface of a rotating crown-compensated impulse drying press roll and the bottom surface of an internal hydrostatic shoe. By matching the mass flow of the lubricant through the capillaries in the shoe to the mass flow in the channel and using a wedge approximation to the curvilinear channel, expressions are developed for the velocity fields in each subregion of the channel and all the tangential and normal forces acting on the bottom of the shoe and the inside surface of the roll. These forces are then employed to set up a system of three equilibrium equations governing the balance of all horizontal and vertical forces acting on the bottom surface of the shoe as well as balance of the moments of these forces. The equilibrium equations form a system of nonlinear coupled transcendal algebraic equations and are solved, numerically, for given loads on the shoe and tangential speeds of the roll by an iterative procedure. The analytical model is developed so as to predict the temperature and heal flow characteristics of the lubricating oil between the hydrostatic shoe and the roll shell. Mathematical expressions for the temperature profiles, and the corresponding heat fluxes, are developed and coded in a computer program.

Presented at the 51st Annual Meeting in Cincinnati, Ohio May 19–23, 1996

Notes

Presented at the 51st Annual Meeting in Cincinnati, Ohio May 19–23, 1996