Abstract
Stretch blow molding or thermoforming processes includes an infrared heating stage of the thermoplastic preform by infrared heaters. The knowledge of the temperature distribution on the surface and through the thickness of the preform is important to make good prediction of thickness and properties of the manufactured parts. Currently in industry, the fitting of the process parameters is given by experience and is expensive. Our objective is to provide tools that are able to simulate the heat transfers between infrared heaters and preforms in order to reduce the fitting cost and to control the qualities of the end products. The optical method called “ray tracing” is used to simulate the radiative transfer. First, we compare the ray tracing method with the view factor method on a simple example: the heating of a square sheet by one infrared lamp. Then, we perform 3D heating stage simulations and compare with experiments. The ray tracing method allows to compute a source term in the transient heat balance equation. Then commercial finite element method softwares can be used to solve the heat balance equation.
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References
Champin C (2007) Modélisation 3d du chauffage par rayonnement infrarouge et de l’étirage soufflage de corps creux en p.e.t. Ph.D. thesis, École des Mines de Paris
Cosson B, Chevalier L, Yvonnet J (2009) Optimization of the thickness of PET bottles during stretch blow molding by using a mesh-free (numerical) method. Int Polym Process 03:223–233
Desvignes F (1997) Rayonements optiques. Masson, France
Erchiqui F, Hamani I, Charette A (2009) Modélisation par éléments finis du chauffage infrarouge des membranes thermoplastiques semi-transparentes. Int J Therm Sci 48(1):73–84
Leuenberger H, Person RA (1956) Compilation of radiation shape factors for cylindrical assemblies. Presented at ASME Annual Meeting, New York, NY, Nov. 25–30, 1956
Mayhan K, James J, Bosch W (1965) Poly(ethylene terephtalate). I. Study of crystallization kinetics. J Appl Polym Sci 9:3617–3624
Modest M (1993) Radiative heat transfer balbla. Elsevier Science
Monteix S (2001) Modélisation du chauffage convecto-radiatif de préformes en pet pour la réalisation de corps creux. Ph.D. thesis, École des Mines de Paris
Monteix S, Maoult YL, Schmidt F, Arcens JP (2004) Quantitative infrared thermography applied to blow moulding process: measurement of a heat transfer coefficient. QIRT J 1(2):133
Monteix S, Schmidt F, Maoult YL, Yedder RB, Diraddo RW, Laroche D (2001) Experimental study and numerical simulation of preform or sheet exposed to infrared radiative heating. J Mater Process Technol 119(1–3):90–97
Pharr M, Humphreys G (2004) Physically based rendering: From theory to implementation. Elsevier Science, USA
Sacadura J (1973) Initiation aux transferts thermiques. Lavoisier, France
Schmidt F, Agassant J, Bellet M (1998) Experimental study and numerical simulation of the injection stretch/blow molding process. Polym Eng Sci 38(9):1399–1412
Siegel R, Howel J (1992) Thermal radiation heat transfer. Hemisphere Publishing Corporation, USA
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This work could not be possible without our industrial partner: O. Demangeon from Toshiba Lighting.
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Cosson, B., Schmidt, F., Le Maoult, Y. et al. Infrared heating stage simulation of semi-transparent media (PET) using ray tracing method. Int J Mater Form 4, 1–10 (2011). https://doi.org/10.1007/s12289-010-0985-8
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DOI: https://doi.org/10.1007/s12289-010-0985-8