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TECHNICAL PAPERS

Modeling Air Entrainment and Temperature Effects in Winding

[+] Author and Article Information
H. Lei, K. A. Cole, S. J. Weinstein

Eastman Kodak Company, Rochester, NY 14652

J. Appl. Mech 70(6), 902-914 (Jan 05, 2004) (13 pages) doi:10.1115/1.1629758 History: Received October 15, 2002; Revised June 04, 2003; Online January 05, 2004
Copyright © 2003 by ASME
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References

Figures

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Contact clearances under the pressure roller, under the outer lap away from the nip, and after winding
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Continuum differential force element in the wound roll
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In-roll pressure stresses right after winding from both air entrainment model and nonair entrainment model. The gage pressure is the air pressure above the ambient pressure.
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In-roll tension stresses right after winding from both air entrainment model and nonair entrainment model
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Center winding with an idling pressure roll. Center of the winding roll is driven by a motor.
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Geometry for lubrication analysis of squeezing flow
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Calculated absolute air pressures under the first lap (circles) from full winding model. These air pressures are used to model the air loss under the first lap.
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The effect of roll radial CTE on total interlayer pressure right after winding at 70°F and after heated to 100°F. Results are from the air entrainment model. The radial CTE of the roll is indicated in the figure. Other CTEs are αθ=10−5/°F and αc=10−4/°F.
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The effect of roll radial CTE on contact pressure right after winding at 70°F and after heated to 100°F. Results are from the air entrainment model. The radial CTE of the roll is indicated in the figure. Other CTEs are αθ=10−5/°F and αc=10−4/°F.
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The effect of roll radial CTE on interlayer pressure right after winding at 70°F and after heated to 100°F. Results are from the nonair entrainment model. The radial CTE of the roll is indicated in the figure. Other CTEs are αθ=10−5/°F and αc=10−4/°F.
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The effect of roll core CTE on total interlayer pressure right after winding at 70°F and after heated to 100°F. Results are from the air entrainment model. The core CTE of the roll is indicated in the figure. Other CTEs are αr=10−4/°F and αθ=10−5/°F.
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The effect of roll core CTE on contact pressure right after winding at 70°F and after heated to 100°F. Results are from the air entrainment model. The core CTE of the roll is indicated in the figure. Other CTEs are αr=10−4/°F and αθ=10−5/°F.
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The effect of roll core CTE on interlayer pressure right after winding at 70°F and after heated to 100°F. Results are from the nonair entrainment model. The core CTE of the roll is indicated in the figure. Other CTEs are αr=10−4/°F and αθ=10−5/°F.
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Total mass of air lost from the first lap of a roll after winding 3089 laps at 2.54 m/s (500 ft/min), expressed as a percentage of the original mass in the lap. The half-width of the roller in centimeters, L, is indicated on the figure. Data are presented here for a core having outer diameter of 0.127 m (5 inches), and for a web thickness of 224 μm.
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Total mass of air lost from the first lap of a roll after winding 3089 laps at 7.62 m/s (1500 ft/min), expressed as a percentage of the original mass in the lap. The half-width of the roller in centimeters, L, is indicated on the figure. Data are presented here for a core having outer diameter of 0.127 m (5 inches), and for a web thickness of 224 μm.

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