The Radiative–Conductive Transfer Equation in Cylindrical Geometry. Issue 5 (28th July 2016)

• Record Type: Journal Article
• Authors: Ladeia, C. A.; Bodmann, B. E. J.; Vilhena, M. T. M. B.
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 5(2016)
• Page Start: 386
• Page End: 395
• Publication Date: 2016-07-28
• Subjects: Adomian decomposition method -- Laplace transform -- non-linear SN problem -- radiative-conductive transfer equation in cylinder geometry; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2016.1187173
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: In this work, we present a solution for the radiative–conductive transfer equation in cylinder geometry for a hollow cylinder. We discuss a semi-analytical approach to the non-linear SN problem, where the solution is constructed by Laplace transform and a decomposition method. We present the recursive scheme for the doubly discrete ordinate equation system together with physical parameter dependencies and apply the solution to test cases.