Radiation in spherical symmetry with anisotropic scattering and variable properties

Prediction of radiative heat transfer between two concentric spherical enclosures with the finite volume method

“…During the past few decades, numerous methods have been proposed to solve the RTE between two concentric spheres separated by radiatively active medium. Among others, while Viskanta and Crosbie [1] considered a nonscattering, gray, and heat-generating medium between two concentric spheres with the differential approximations, Tsai et al [2] investigated the thermal radiation in spherical symmetry with anisotropic scattering and variable properties by using the DOM. Jia et al [3] extended the Galerkin method to investigate the radiative heat transfer between two concentric spheres separated by an absorbing, emitting and isotropically scattering gray medium.…”

“…Therefore, a substantial effect has been exerted to analyze the spherically symmetric problems in the field of radiation as well as flow and heat transfer including combustion [1][2][3][4][5][6][7]. During the past few decades, numerous methods have been proposed to solve the RTE between two concentric spheres separated by radiatively active medium.…”

“…To overcome this phenomenon in spherical symmetric systems two different approaches are suggested. The first one is the conventional artifice of Carlson and Lathrop [8], followed by Lewis and Miller [9], and Tsai et al [2] using the DOM, and Kim et al [7] using the modified DOM, where a recursive relation for the coefficients a mAE1=2 is modeled by examining the divergenceless flow conditions. Another procedure that approximates angular redistribution is a FLT-DOM by Sghaier et al [4] and Trabelsi et al [5], where angular streaming derivative term is derived from a series expansion of the radiative intensity on the basis of Legendre polynomials.…”

Non-Linear Radiative-Conductive Heat Transfer in a Heterogeneous Gray Plane-Parallel Participating Medium

“…These phenomena occur in a variety of realms (Ahmad & Deering, 1992;Tsai & Ozişik, 1989;Wilson & Sen, 1986;Yi et al, 1996) including optics (Liu et al, 2006), astrophysics (Pinte et al, 2009), atmospheric science (Thomas & Stamnes, 2002), remote sensing (Shabanov et al, 2007) and engineering applications like heat transport by radiation (Brewster, 1992) for instance or radiative transfer laser applications (Kim & Guo, 2004). Furthermore, applications to other media such as biological tissue, powders, paints among others may be found in the literature (see ref.…”

Étude du rayonnement transitoire unidimensionnel en utilisant la méthode des ordonnées discrétes [i.e. discrètes] /

“…De nombreux auteurs l'ont suivi, comme Truelove [51], [52] et bien d'autres ( [53], [54], [55], [56], [57]). Depuis 1990, la méthode a connu un grand essor, notamment en transfert couplé ( [58], [59], [60], [61]).…”