Research Papers

Temperature Distribution in Moving Webs Heated by Radiation Panels: Model Development and Experimental Validation

[+] Author and Article Information
Edison O. Cobos Torres

Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77843
e-mail: orlando.cobos@tamu.edu

Prabhakar R. Pagilla

Fellow ASME
Department of Mechanical Engineering,
Texas A&M University,
College Station, TX 77843
e-mail: ppagilla@tamu.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 22, 2016; final manuscript received November 16, 2016; published online March 10, 2017. Assoc. Editor: Beshah Ayalew.

J. Dyn. Sys., Meas., Control 139(5), 051003 (Mar 10, 2017) (8 pages) Paper No: DS-16-1052; doi: 10.1115/1.4035297 History: Received January 22, 2016; Revised November 16, 2016

In this paper, we develop a model to determine the temperature distribution in moving webs due to heating by radiation panels and convection from the web surface. Heating of the transported material is common in many web processes, such as printing, coating, and lamination. Radiation panels provide a simple and noncontact means for web heating. To develop a governing equation for moving web temperature, we treat the web as a moving medium under a heating source which is the radiation panel. We consider both radiation and convection and changes in the convection coefficient in the air film between the web surface and the heating source. Using the temperature governing equation, one can predict the web temperature in the moving web that is transported with different speeds under the heating panels. The model development and analysis are dimensionless; therefore, it can be applied to a variety of web materials and heating panel locations. The model development is motivated by the roll-to-roll (R2R) atomic/molecular layer deposition (ALD/MLD) application, and an experimental platform designed to conduct ALD/MLD is employed to validate the model for different scenarios. Comparative results from experiments and model simulations for varying speeds and different operating conditions are provided to validate the model.

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Fig. 1

Picture of modular R2R ALD/MLD machine

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Fig. 2

Continuous strip heat source on the surface of a moving semi-infinite medium [20]

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Fig. 4

Sketch of the modular R2R spatial ALD/MLD

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Fig. 3

Position of variable ξ

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Fig. 5

Control systems for the ALD/MLD machine: (a) tension and speed control for rewind motor, (b) speed control for rewind and gas reactor, and (c) temperature control

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Fig. 6

Heating panel temperature measured at three different locations

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Fig. 7

Heating panel surface temperature to input voltages levels

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Fig. 8

Input voltage versus steady-state heating panel surface temperature

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Fig. 9

Web temperature within the heating panel at different web speeds

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Fig. 10

Experimental and model simulation data for web speeds of 0.0508 (10 ft/min), 0.254 (50 ft/min), and 0.508 m/s (100 ft/min)

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Fig. 11

Location of the temperature sensors in the web path

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Fig. 12

Web temperature at different web speeds: (a) sensor 1 at exit of the heating panels, (b) sensor 2, and (c) sensor 3




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