Open AccessDiffusion Approximation to Radiation Heat Transfer in Semitransparent Medium
Author(s) -
Harihar Khanal,
Kedar Nath Uprety
Publication year - 2016
Publication title -
the nepali mathematical sciences report
Language(s) - English
Resource type - Journals
ISSN - 2392-411X
DOI - 10.3126/nmsr.v34i1-2.30012
Subject(s) - thermal conduction , heat transfer , diffusion , dimension (graph theory) , nonlinear system , radiation , thermal radiation , heat flux , heavy traffic approximation , diffusion equation , heat equation , heat transfer coefficient , mechanics , mathematical analysis , physics , mathematics , thermodynamics , optics , statistics , economy , quantum mechanics , pure mathematics , economics , service (business)
Conduction-radiation heat transfer problem is usually formulated with a highly nonlinear integrodifferential equation. In this paper we describe a simple technique for modeling radiation heat transfer in a semi-transparent medium with arbitrary varying spectral absorption coefficient and purpose a computational model (described by a coupled system of elliptic-parabolic PDEs) based on flux limited diffusion theory. Numerical simulations of a glass cooling problem in one dimension show that the proposed method is comparable to a higher order discrete ordinate (S8) method.