Solution of the Diffusion Equation for Multilayer Packaging

Plastic Packaging: Interactions with Food and Pharmaceuticals, Second Edition

Volumn , Issue , 2008, Pages 247-262

  Tosa, Valer ^a   Mercea, Peter ^b  

^a NATIONAL INSTITUTE FOR RESEARCH AND DEVELOPMENT OF ISOTOPIC AND MOLECULAR TECHNOLOGIES   (Romania)

^b NONE   (Germany)

Author keywords

Contact with foodstuff; Methods solving diffusion problem; Migration from multilayer packaging; Multilayer packaging; Plastic packaging; Solution of diffusion equation; User friendly software

Indexed keywords

EID: 84890780761     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527621422.ch8     Document Type: Chapter

References (24)

1. Brandsch, R., Mercea, P., Piringer, O. and Tosa, V. (2005) Studia Physica, 50, 157.
2. Carslaw, H.S. and Jager, J.C. (1959) Conduction ofHeat in Solids, 2nd edn, Oxford University Press, London.
3. Chen, C.J. and Chen, H.C. (1984) Finite analytic numerical method for unsteady two-dimensional Navier-Stokes equations. J. Comput. Phys., 53, 209.
4. Clever, R.M. and Wassel, A.T. (1985) Threedimensional transient heat conduction in a multilayer medium. J. Spacecraft Rockets, 22, 211.
5. de Monte, F. (2000) Transient heat conduction in one-dimensional composite slab. a 'natural' analytic approach. Int. J.HeatMass Transfer, 43, 3607.
6. Haji-Sheikh, A. and Mashena, M. (1987) Integral solution of diffusion equation. Part I. General solution. J. Heat Tranfer (Trans ASME), 109, 551.
7. Han, J.-K., Selke, S.E., Downes, T.W. and Harte, B.R. (2003) Packag. Technol. Sci., 16, 107.
8. Huebner, K.H. (1975) The Finite Element Method for Engineers, Wiley, New York.
9. Tamma, K.K. and Yurko, A.A. (1989) Finite element thermal modeling/analysis formulation for layered composite materials. Numer. Heat Transfer, Part B, 15, 73.
10. Ozisik, M.N. (1980) Heat Conduction, Wiley, New York.
11. Ozisik, M.N., Michailov, M.D. and Vulkanov, N.L. (1983) Diffusion in composite layers with automatic solution of the eigenvalue problem. Int. J.HeatMass Transfer, 26, 1131.
12. Mercea, P., Piringer, O. and Petrescu, L. (2005) Migratest Lite-Instruction Manual and Software, Fabes GmbH, Munchen.
13. Mercea, P., Tosa, V., Petrescu, L. and Piringer, O. (2007) Migratest EXP Software, Fabes GmbH, Munich, 2007.
14. Muzizo, A. and Solaini, G. (1987) Boundary integral equation analysis of threedimensional conduction in composite media. Numer. Heat Transfer, 15, 239.
15. Pettersen, M.K.,Gallstedt, M. and Eie, T. (2004) Packag. Technol. Sci., 17, 43.
16. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (1986) Numerical Recipes, Cambridge University Press, Cambridge.
17. Ramos, F.M. and Giovannini, A. (1992) Finite analytic numerical method for transient heat diffusion in layered composite materials. Numer. Heat Transfer, Part B, 22, 305.
18. Roduit, B., Borgeat, Ch., Cavin, S., Fragnière, C. and Dudler, V. (2004) ILSI 3rd International Symposium on Food Packaging, Barcelona/Spain, October 2004, www.akts.com.
19. Safa, L. and Abbes, B. (2002) Packag. Technol. Sci., 15, 53.
20. Siegel, R. (1999) Transient thermal analysis of parallel translucent layers by using Green's functions. J. Thermophys. Heat Transfer (AIAA), 13, 10.
21. Smith, G.D. (1985) Numerical Solutions of Partial Differential Equations. Finite Difference Methods, 3rd edn, Oxford University Press, Oxford.
22. Tittle, C.W. (1965) Boundary value problem in composite media: quasi-orthogonal functions. J. Appl. Phys., 36, 1486.
23. Tosa, V. (2003) Proceedings of Isotopic and Molecular Processes, Cluj-Napoca, Romania.
24. Tosa, V. (2004) Solution of the Diffusion Equation for Multilayer Packaging, FABES GmbH-Report, Munich.