Mechanics of a Porous Web Moving Over a Cylindrical Guide

[+] Author and Article Information
Sinan Müftü

Haystack Observatory, Massachusetts Institute of Technology, Westford, MA 01886

M. Cengiz Altan

School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, OK 73019

J. Tribol 122(2), 418-426 (Jul 06, 1999) (9 pages) doi:10.1115/1.555378 History: Received March 17, 1999; Revised July 06, 1999
Copyright © 2000 by ASME
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Daly,  D. A., 1965, “Factors Controlling Traction Between Webs and Their Carrying Rolls,” Tappi J. , 48, No. 9, pp. 88A–90A, Sept.
Ducotey,  K. S., and Good,  J. K., 1998, “The Effect of Web Permeability and Side Leakage on the Air Film Height Between a Roller and Web,” ASME J. Tribol. , 120, pp. 559–565.
Gross, W. A., 1980, Fluid Film Lubrication, Wiley, New York.
Hashimoto,  H., 1995, “Theoretical Analysis of Externally Pressurized Porous Foil Bearings-Part 1: In Case of Smooth Surface Porous Shaft,” ASME J. Tribol. , 117, No. 1, pp. 93–102.
Hashimoto,  H., 1997, “Effects of Foil Bending Rigidity on Spacing Height Characteristics of Hydrostatic Porous Foil Bearing for Web Handling Processes,” ASME J. Tribol. , 119, No. 1, pp. 422–427.
Müftü, S., and Benson, R. C, 1995, “Modelling the Transport of Paper Webs Including the Paper Permeability Effects,” Advances in Information Storage and Processing Systems–1995, ASME International Mech. Eng. Congress and Exposition, San Francisco, CA, ISPS-Vol. 1, pp. 247–258.
Wang,  X., 1997, “Finite Element Analysis of Air-Sheet Interactions and Flutter Supression Devices,” J. Comput. Structures 64, No. 5/6, pp. 983–994.
Ducotey,  K. S., and Good,  J. K., 1995, “The Importance of Traction in Web Handling,” ASME J. Tribol. , 117, pp. 679–684.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, England.
Patir,  N., and Chang,  H. S., 1979, “Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces,” ASME J. Lubr. Technol. , 101, pp. 220–230.
Gutowski,  T. G., Morigaki,  T., and Cai,  Z., 1987, “The Consolidation of Laminate Composites,” J. Compos. Mater. , 21, pp. 172–188.
Dave,  R., Kardos,  J. L., and Dudukovic,  M. P., 1987, “A Model for Resin Flow During Composite Processing. Part 2: Numerical Analysis for Unidirectional Graphite/Epoxy Laminates,” Polym. Compos. , 8, No. 2, pp. 123–132.
Lam, R. C., and Kardos, J. L., 1989, “The Permeability and Compressibility and Aligned and Cross-Plied Carbon Fiber Beds During Processing of Composites,” ANTEC ’98, SPE, pp. 1408–1412.
Bruschke,  M. V., and Advani,  S. G., 1993, “Flow of Generalized Newtonian Fluids Across a Periodic Array of Cylinders,” J. Rheol. 37, No. 3, pp. 479–498.
Bear, J., 1972, Dynamics of Fluids in Porous Media, Dover, New York.
Tichy, J. A., 1994, “A Porous Media Model for Thin Film Lubrication,” ASME J. Tribol., 94-Trib-3.
Bujurke,  N. M., Patil,  H. P., and Bhavi,  S. G., 1990, “Porous Slider Bearing with Couple Stress Fluid,” Acta Mech., 85, pp. 99–113.
Müftü,  S., and Cole,  K. A., 1999, “The Fluid/Structure Interaction in Supporting a Thin Flexible Cylindrical Web with an Air Cushion,” J. Fluids Structures, 13, No. 6, pp. 681–708.
Müftü,  S., and Benson,  R. C., 1996, “A Study of the Cross-Width Variations in the Two Dimensional Foil Bearing Problem,” ASME J. Tribol. , 118, pp. 407–414.
Rabinowicz, E., 1995, Friction and Wear of Materials, Wiley, New York.
Wu,  Y., and Talke,  F., 1996, “The Effect of Surface Roughness on the Head-tape Interface,” ASME J. Tribol. , 118, No. 2, pp. 376–381.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A , 295, 300–319.
Rice, B. S., Cole, K. A., and Müftü, S., 1999, “An Experimental and Theoretical Study of Web Traction Over a Nonvented Roller,” Proceedings of the Fifth Int. Web Handling Conference, Oklahoma State University, Stillwater, OK, June.


Grahic Jump Location
Schematic view of a web transported over a guide with speed Vx and under tension T
Grahic Jump Location
Schematic view of a porous web moving over a stationary guide
Grahic Jump Location
Schematic view of the reference state of the web showing the contact and no-contact regions. (a) Web-guide spacing in no-contact region. (b) Quiescent web in contact region.
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The porosity parameter A and the normalized permeability κ1/2/c as a function of fiber volume fraction ϕ in a web. The different curves for different σo/L are calculated while all the problem parameters are kept constant as given in Table 1.
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The steady-state equilibrium conditions in the web-guide interface. Note that the web is in contact near the exit side of the interface (ϕ=0.88,σo/L=5×10−6,p̄o=1).
Grahic Jump Location
The web-guide clearance h̄, air pressure p̄, and contact pressure p̄c variation for different values of fiber volume fraction ϕ values are given in plots (a–c) for σo/L=5×10−6,p̄o=1. Plot (d) gives the detail of the entry region for ϕ=0.73.
Grahic Jump Location
The effect of nondimensional asperity height on the tension drop ΔN/T as a function of fiber volume fraction ϕ, for p̄o=1
Grahic Jump Location
The effect of asperity engagement height and compliance on the tension drop ΔN/T as a function of the porosity parameter A



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