Homogenization of a Conductive and Radiative Heat Transfer Problem

  title={Homogenization of a Conductive and Radiative Heat Transfer Problem},
  author={Gr{\'e}goire Allaire and Karima El Ganaoui},
  journal={Multiscale Modeling & Simulation},
We are interested in conductive and radiative transfer of energy in the core of gas cooled reactors. Two scales characterize the problem: macroscopic and microscopic. We want to consider the domain like an equivalent homogenous medium. So we use homogenization theory to compute the effective macroscopic properties which take into account the microscopic structure. We first present a full mathematical study of a simpler conduction problem with non linear boundary condition and its simulation… CONTINUE READING

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Publications referenced by this paper.
Showing 1-4 of 4 references

Stefan -Boltzmann Radiation on Nonconvex Surfaces

T. Tiihonen
Mathematical Methods in the Applied Sciences, • 1997

Radiative Heat Transfer

M. Modest
Mc Graw-Hill, New York, • 1993

Homogenization and Two-Scale Convergence

G. Allaire
SIAM J. Math. Anal., • 1992

Asymptotic Analysis for Periodic Structures, NorthHolland

A. Bensoussan, J. L. Lions, G. Papanicolaou

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