Capillary and Viscoelastic Effects on Elastohydrodynamic Lubrication in Roller Nips

Author:

Carvalho M. S.1,Scriven L. E.1

Affiliation:

1. Coating Process Fundamentals Program, Center for Interfacial Engineering and Department of Chemical Engineering & Materials Science, University of Minnesota, Minneapolis, MN 55455

Abstract

A viscocapillary model of liquid movement and film-splitting in deformable nips between an elatomer-covered roll and a hard roll is presented here. This “soft” elastohydrodynamic regime is described by Reynolds’ equation of lubrication flow and a simple set of spring-and-dashpot elements for the viscoelastic behavior of elastomeric roll covers. Capillary effects around the film-split are accounted for with an augmented Young-Laplace equation from film-flow theory. Effects of the liquid’s surface tension (via capillary number) and the elastomeric cover’s relaxation time (via Deborah number) are predicted and compared with available experiments. Application to the flows through the multiple roller nips of printing press systems is discussed.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Reference18 articles.

1. Benner R. E. , DavisH. T., and ScrivenL. E., 1987, “An Adaptive Finite Element Method for Steady and Transient Problems,” SIAM J. Sci. Stat. Comput., Vol. 8, pp. 529529.

2. Benjamin, D. F., Anderson, T. D., and Scriven, L. E., 1995, “Multiple Roll Systems: Steady State Operation,” AIChE Journal, in press.

3. Carvalho M. S. , and ScrivenL. E., 1994, “Effect of Deformable Roll Cover on Roll Coating,” TAPPI Journal, Vol. 77, pp. 55.

4. Carvalho, M. S., and Scriven, L. E., 1994, “Elastohydrodynamics of Deformable Roll Coating,” 7994 Spring National Meeting, AIChE, paper 7.c.

5. Carvalho, M. S., and Scriven, L. E., 1995, “Flows Between Rigid and Deformable Rotating Cylinders with Free Surfaces, Inflow and Outflow,” Proceedings of the 9th International Conference on Numerical Methods in Laminar and Turbulent Flow, Atlanta, pp. 972.

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