A methodology for the modeling of unsteady heat conduction in polymethylmethacrylate (PMMA) during its exothermic polymerization is presented. The emphasis is on the formulation of a model for the volumetric rate of heat generation, including its temperature-dependent characteristics. Three parameters appear in the proposed model. The empirical determination of these parameters using Differential Scanning Calorimetry is demonstrated. The incorporation of the proposed model into finite volume methods is also demonstrated, in the context of unsteady, onedimensional, radial heat conduction in cylindrical coordinates. In addition, the application of the proposed model to two test problems is presented and discussed. The results are encouraging, and the proposed methodology appears to be applicable to the thermal modeling of exothermic polymerization processes in general.
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Thermal Modeling of Polymerizing Polymethylmethacrylate, Considering Temperature-Dependent Heat Generation
B. R. Baliga,
B. R. Baliga
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
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P. L. Rose,
P. L. Rose
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
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A. M. Ahmed
A. M. Ahmed
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
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B. R. Baliga
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
P. L. Rose
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
A. M. Ahmed
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada, H3A 2K6
J Biomech Eng. May 1992, 114(2): 251-259 (9 pages)
Published Online: May 1, 1992
Article history
Received:
May 24, 1987
Revised:
August 10, 1991
Online:
March 17, 2008
Citation
Baliga, B. R., Rose, P. L., and Ahmed, A. M. (May 1, 1992). "Thermal Modeling of Polymerizing Polymethylmethacrylate, Considering Temperature-Dependent Heat Generation." ASME. J Biomech Eng. May 1992; 114(2): 251–259. https://doi.org/10.1115/1.2891379
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