Quarterly of Applied Mathematics

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Transient temperature and elastic response of a space-based mirror in the radiation-conduction environment

Author(s): Bejoy K. Choudhury
Journal: Quart. Appl. Math. 64 (2006), 201-228.
MSC (2000): Primary 74B05, 74F05, 42B05
Posted: May 3, 2006
MathSciNet review: 2243860
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: The problem of the one-dimensional heat equation with radiation boundary conditions is studied. Steady state and transient solutions for a space-based mirror are obtained under a broad class of boundary specification. Associated elastic stress and displacement are investigated. Time-varying heat flux at the boundary is also considered. The method requires solving equations of the type $\tan\lambda=\left(Bi_1+Bi_2\right)\lambda/\left(\lambda^2-Bi_1Bi_2\right)$ for the eigenvalues $\lambda$ , for which complete asymptotic solutions are given. Selected transient response results for temperature and stresses are presented.

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