BEM model for radiative transport phenomena in optically thick compressible viscous fluids. (November 2018)

• Record Type: Journal Article
• Authors: Crnjac, P.; Škerget, L.; Hriberšek, M.; Ravnik, J.
• Is Part Of: Engineering analysis with boundary elements. Volume 96(2018)
• Page Start: 1
• Page End: 13
• Publication Date: 2018-11
• Subjects: Radiation -- Boundary element method -- Fluid flow -- Heat transfer -- Velocity–vorticity; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2018.07.011
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The objective of this article is to develop a boundary element numerical model to solve coupled problems involving heat energy diffusion, convection and radiation in a participating medium. Radiation is modelled using two approaches for optically thick fluids: the Rosseland diffusion approximation and the P 1 approximation. The governing Navier–Stokes equations are written in the velocity–vorticity formulation for the kinematics and kinetics of the fluid motion. The approximate numerical solution algorithm is based on boundary element numerical model in its macro-element formulation. The developed algorithm is validated by comparing results of radiative heat transfer for different optical thicknesses with benchmark data. Furthermore, the developed algorithm is tested by simulating natural convection and radiation heat transfer under large temperature differences where compressible flow solution is required.