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TECHNICAL PAPERS

A Model for Determining the Asperity Engagement Height in Relation to Web Traction Over Non-Vented Rollers

[+] Author and Article Information
Brian S. Rice, Kevin A. Cole

Eastman Kodak Company, Rochester, NY 14652

Sinan Müftü

Northeastern University, Department of Mechanical Engineering, Boston, MA 02115

J. Tribol 124(3), 584-594 (May 31, 2002) (11 pages) doi:10.1115/1.1456087 History: Received February 09, 2001; Revised August 15, 2001; Online May 31, 2002
Copyright © 2002 by ASME
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References

Daly,  D. A., 1965, “Factors Controlling Traction Between Webs and Their Carrying Rolls,” Tappi J., 48, No. 9, pp. 88–90.
Forrest, A. W., Jr., and Anderson, V. L., 1997, “Film Surface Considerations for Enhancing Winding of Thin Films,” Proceedings of the Fourth International Conference on Web Handling, Oklahoma State University.
Knox,  K. L., and Sweeney,  T. L., 1971, “Fluid Effects Associated with Web Handling,” Ind. Eng. Chem. Process Des. Dev., 10, No. 2, pp. 201–205.
Eshel, A., and Elrod, H. G., Jr., 1965, “The Theory of the Infinitely Wide, Perfectly Flexible, Self-Acting Foil Bearing,” Journal of Basic Engineering, Trans. of the ASME, March 1959, pp. 94–100.
Ducotey,  K. S., and Good,  J. K., 1995, “The Importance of Traction in Web Handling,” ASME J. Tribol., 117, pp. 679–684.
Müftü,  S., and Altan,  M. C., 2000, “Mechanics of a Porous Web Moving Over a Cylindrical Guide,” ASME J. Tribol., 122, pp. 418–426.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Rough Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Kikuchi, N., and Oden, J. T., 1988, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia.
Lacey,  C., and Talke,  F. E., 1992, “Measurement and Simulation of Partial Contact at the Head/Tape Interface,” ASME J. Tribol., 114, pp. 646–652.
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.
Burgdorfer, A., 1959, “The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings,” Journal of Basic Engineering, Trans. of the ASME, December 1965, pp. 831–836.
Müftü,  S., and Cole,  K. A., 1999, “The Fluid/Structure Interaction in Supporting a Thin Flexible Cylindrical Web with an Air Cushion,” J. Fluids Struct. 13, pp. 681–708.
Müftü, S., and Benson, R. C., 1995, “Modeling the Transport of Paper Webs Including the Paper Permeability Effects,” Advances in Information Storage and Processing Systems, ASME International Mech. Eng. Congress and Exposition, San Francisco, CA, ISPS-Vol. 1, pp. 247–258.
Gross, W. A., 1980, Fluid Film Lubrication, John Wiley & Sons, New York.
ASTM Standard G143-96, 1996, “Standard Test Method for Measurement of Web/Roller Friction Characteristics,” Annual Book of ASTM Standards.
Bhushan, B., 1996, Tribology and Mechanics of Magnetic Storage Devices, Springer-Verlag Inc., New York.

Figures

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Schematic view of a web conveyed over a cylindrical, rotating roller
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Surface topography using non-contact interferometry at 250× magnification: (a) roller, Rz/Rpm=5.33; (b) web number 1, Rz/Rpm=1.8; (c) web number 7, Rz/Rpm=1.2; and (d) web number 8, Rz/Rpm=1.8.
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Asperity peak height distribution for webs-1 and -5 and -8. Note that webs -5 and -7 have very similar surface topography characteristics. The Gaussian probability density distributions were calculated by using mean values of 0.35, 0, 0.08 μm and standard deviations of 1.7, 0.19, 0.09 μm, for webs-1, -5 and -8, respectively. The average skew values in these webs are 0.63, 13, 0.46, and the average Kurtosis values are 0.64, 220, 3.09, for webs-1, -5, and -8, respectively.
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The web-roller spacing at three different web speeds
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Schematic of the dynamic traction tester
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Optimization contours for web-5 for various μo. Optimum locations are indicated by ×.
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Predicted traction curves for β=22.5 kPa and β=225 kPa and the measured traction values
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Pictorial representation of contact between a smooth web and various idealized roller surface textures: (a) case 1: up features; (b) case 2: down features; and (c) case 3: up and down features.
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Pictorial representation of how two rough surfaces might combine for various surface textures: (a) case 1: sum; (b) case 2: rms; and (c) case 3: maximum.
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Equivalent coefficient of friction: model prediction mμd versus actual measured μd as a function of web speed
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Web speed at which the value of equivalent coefficient of friction μd is reduced by 50 percent of its initial value μo

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