 The Nonstationary Radiative–Conductive Heat Transfer Problem in a Periodic System of Grey Heat Shields. Semidiscrete and Asymptotic ApproximationsA. Amosov ()
Chapter Chapter 2 in Integral Methods in Science and Engineering, 2015, pp 15-27 from Springer Abstract: Abstract We consider semidisctete and asymptotic approximations to a solution to the nonstationary nonlinear initial-boundary value problem describing the radiative-conductive heat transfer in a periodic system consisiting on n grey parallel plate heat shields of widh 𝜀 = 1 ∕ n $$\varepsilon = 1/n$$ , separated by vacuum inerlayers. We study properties of special semidiscrete and homogenized problems whose approximate the solution to the problem under consideration. We establish the unique solvability of the problems and deduce an a’priori estimates for the solutions. We obtain error estimates of the order O ( 𝜀 ) $$O(\sqrt{\varepsilon })$$ and O ( 𝜀 ) $$O(\varepsilon )$$ for semidiscrete approximations and error estimates of order O ( 𝜀 ) $$O(\sqrt{\varepsilon })$$ and O ( 𝜀 3 ∕ 4 ) $$O(\varepsilon ^{3/4})$$ for asymptotic approximations. Keywords: Semidisctete and asymptotic approximations; Nonstationary nonlinear initial-boundary value problem; Radiative-conductive heat transfer; Error estimates (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_2 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-16727-5_2 Access Statistics for this chapter More chapters in Springer Books from Springer |
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