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Numerical analysis of a coupled radiative-conductive heat transfer problem

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Numerical Mathematics and Advanced Applications

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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

  1. Agoshkov, V. (1998): Boundary value problems for transport equations. (Modeling and Simulation in Science, Engineering and Technology). Birkhäuser Boston, Boston, MA

    Book  Google Scholar 

  2. 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

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  3. 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

    Google Scholar 

  4. Brézis, H., Strauss, W.A. (1973): Semi-linear second-order elliptic equations in L 1. J. Math. Soc. Japan. 25, 565–590

    Article  MathSciNet  MATH  Google Scholar 

  5. Da Prato, G. (1971): Somme d'applications non-linéaires. In: Symposia Mathematica. Vol. VII. Academic Press, London, pp. 233–268

    Google Scholar 

  6. 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

    Article  MathSciNet  MATH  Google Scholar 

  7. Lee, S.C. (1988): Radiation heat-transfer model for fibers oriented parallel to diffuse boundaries. J. Thermophys. Heat Transfer 2, 303–308

    Article  Google Scholar 

  8. Martin, R.H., Jr. (1976): Nonlinear operators and differential equations in Banach spaces. Wiley, New York

    MATH  Google Scholar 

  9. Özisik, M.N. (1973): Radiative transfer and interactions with conduction and convection. Wiley, New York

    Google Scholar 

  10. Ziamal, M. (1980): A finite element solution of the nonlinear heat equation. RAIRO Anal. Numér, 14, 203–216

    Google Scholar 

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Author information

Authors and Affiliations

  1. IECN and LEMTA, Faculté des Sciences, Vandoeuvre lès Nancy, France

    F. Asllanaj

  2. LEMTA, Faculté des Sciences, Vandoeuvre lès Nancy, France

    G. Jeandel

  3. IECN, Faculté des Sciences, Vandoeuvre lès Nancy, France

    J. R. Roche & D. Schmitt

Authors
  1. F. Asllanaj
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  2. G. Jeandel
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  3. J. R. Roche
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  4. D. Schmitt
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Editor information

Editors and Affiliations

  1. e Tecnologie Informatiche IMATI-CNR, Università di Pavia and Istituto di Matematica Applicata, Pavia, Italy

    Franco Brezzi

  2. e Tecnologie Informatiche IMATI-CNR, Istituto di Matematica Applicata, Pavia, Italy

    Annalisa Buffa

  3. e Reti ad Alte Prestazioni ICAR-CNR, Istituto per il Calcolo, Napoli, Italy

    Stefania Corsaro

  4. e Reti ad Alte Prestazioni ICAR-CNR, Università di Napoli and Istituto per il Calcolo, Napoli, Italy

    Almerico Murli

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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

  • eBook Packages: Springer Book Archive

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