Summary
A numerical method for solving a system of partial differential equations modelling steady-state coupled radiative-conductive heat transfer in semi-transparent media is proposed. The radiative transfer equation (RTE) is coupled with a nonlinear heat conduction equation. A simulation on a real insulator composed of silica fibers is illustrated.
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References
Agoshkov, V. (1998): Boundary value problems for transport equations. (Modeling and Simulation in Science, Engineering and Technology). Birkhäuser Boston, Boston, MA
Asllanaj, E., Jeandel, G., Roche, J.R., Schmitt, D. (2001): Existence and uniqueness of a steady state solution of a coupled radiative-conductive heat transfer problem for a non-grey and anisotropically participating medium. Prépublication no. 2001/41. Institut Élie Cartan, Université Henri Poincaré, Nancy
Asllanaj, F. (200 1): Etude et analyse numérique des transferts de chaleur couplés par rayonnement et conduction dans les milieux semi-transparents: application aux milieux fibreux. Ph.D. Thesis, Université Henri Poincaré, Nancy
Brézis, H., Strauss, W.A. (1973): Semi-linear second-order elliptic equations in L 1. J. Math. Soc. Japan. 25, 565–590
Da Prato, G. (1971): Somme d'applications non-linéaires. In: Symposia Mathematica. Vol. VII. Academic Press, London, pp. 233–268
Kelley, C.T. (1996): Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations. Transport Theory Statist. Phys. 25, 249–260
Lee, S.C. (1988): Radiation heat-transfer model for fibers oriented parallel to diffuse boundaries. J. Thermophys. Heat Transfer 2, 303–308
Martin, R.H., Jr. (1976): Nonlinear operators and differential equations in Banach spaces. Wiley, New York
Özisik, M.N. (1973): Radiative transfer and interactions with conduction and convection. Wiley, New York
Ziamal, M. (1980): A finite element solution of the nonlinear heat equation. RAIRO Anal. Numér, 14, 203–216
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© 2003 Springer-Verlag Italia
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Asllanaj, F., Jeandel, G., Roche, J.R., Schmitt, D. (2003). Numerical analysis of a coupled radiative-conductive heat transfer problem. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_50
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DOI: https://doi.org/10.1007/978-88-470-2089-4_50
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2167-9
Online ISBN: 978-88-470-2089-4
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