Finite-element solution for a combined radiative-conductive analysis with mixed diffuse-specular surface characteristics

Details Finite-element solution for a combined radiative-conductive analysis with mixed diffuse-specular surface characteristics Finite-element solution for a combined radiative-conductive analysis with mixed diffuse-specular surface characteristics

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975thph.confs....l&link_type=abstract

American Institute of Aeronautics and Astronautics, Thermophysics Conference, 10th, Denver, Colo., May 27-29, 1975, 10 p.

Physics

Optics

Conductive Heat Transfer, Diffuse Radiation, Finite Element Method, Radiative Heat Transfer, Spaceborne Telescopes, Specular Reflection, Algorithms, Cassegrain Optics, Hubble Space Telescope, Matrix Theory, Surface Properties

Scientific paper

The finite-element method has been applied to solve a combined radiative-conductive heat transfer problem for a large space telescope similar to those used in orbiting satellites. The derivation of the underlying matrices and associated solution algorithm for a 2-D triangular element is presented in detail. The resulting expressions for this triangular element typify such an analysis, which yields constitutive matrices when the heat equation is cast in the matrix form. The relevant matrices include those pertaining to thermal conductance, internal heat generation, radiative exchanges, and all possible external thermal loadings. Emphasis is placed on the treatment of non-linear radiative interchange between surfaces in an enclosure having mixed diffuse-specular surface characteristics. Essential differences in governing equations describing these distinctive surface characteristics are identified. Concluding remarks are drawn from an example simulating a Cassegrainian space telescope.

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