Modelization of combined radiative and conductive heat transfer in three‐dimensional complex enclosures

Abstract

Purpose -To provide a finite volume code, based on Cartesian coordinates, for studying combined conductive and radiative heat transfer in three-dimensional irregular geometries. Design/methodology/approach -In the present study, a three-dimensional blocked-off-region procedure was presented and implemented in a numerical code based on the finite volume method to model combined conductive and radiative heat transfer in complex geometries. This formulation was developed and tested in three-dimensional complex enclosures with diffuse reflective surfaces and containing gray absorbing-emitting and isotropically scattering medium. This approach was applied to analyze the effect of the main of thermoradiative parameters on the temperature and flux values for three-dimensional L-shaped enclosure. Findings -The proposed isotropic model leads to satisfactory solutions with comparison to reference data, which entitles us to extend it to anisotropic diffusion cases or to non-gray media. The blocked-off-region procedure traits both straight and curvilinear boundaries. For curved or inclined boundaries, a fine or a non-uniform grid is needed. Originality/value -This paper offers a simple Cartesian practical technique to study the combined conductive and radiative heat transfer in three-dimensional complex enclosures with both straight and curvilinear boundaries.

Modeling of the conjugate radiation and conduction problem in a 3D complex multi-burner furnace

“…4. The present results show comparable accuracy with those presented by Guedri et al [21] and the finite element method solutions in the work of Razzaque et al [27].…”

“…The medium is further assumed to absorb and emit radiation with k = 1 m -1 , but not scatter radiant energy, w = 0. This test problem has been solved in the work of Guedri et al [21]. They used finite volume method to model combined conductive and radiative heat transfer.…”

“…Rousse [19] and Rousse et al [20] used the control-volume finite element method (CVFEM) for the solution of combined mode of heat transfer in 2-D cavities. 3-D complex enclosures with coupled radiative and conductive heat transfer was studied in the work of Guedri et al [21] using the finite volume method in gray absorbing-emitting and isotropically scattering medium. They found satisfactory solutions with comparison to reference data.…”

Application of high‐resolution NVD differencing schemes to the FTn finite volume method for radiative heat transfer

“…In the STEP scheme, [20][21][22][23][24]34 the radiation intensity I f depends on one grid node where I f = I C for positive direction (Fig. 2a).…”

“…In fact, the CPU time of NVD schemes is about 2.92 to 5.26 times higher than that of the STEP scheme for the coarse spatial grid, and decreases to about 2.49 to 4.72 times higher for the finer spatial grid. However, it has been demonstrated, by several researchers, 17,[19][20][21][22][23][24]34 that in the case when grey walls are considered, the STEP scheme requires an iterative solution, and its computational requirement becomes comparable to that of high-order schemes. It is also noted that the CPU time consumed increases with an increase of the optical thickness of the medium.…”