Natural Convection Suppression by Azimuthal Partitions in a Horizontal Porous Annulus

Nishimura, Tatsuo; Kunitsugu, Koji; Itoh, Tetsuya

doi:10.1080/10407789608913779

Cited by 5 publications

(1 citation statement)

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“…There are a large number of publications on natural convection in annular geometries, with or without porous medium; for example, Caltagirone (1976), Burns and Tien (1979); Vasseur et al (1984), Himasekhar and Bau (1988); Barbosa Mota and Saatdjian (1995), Scurtu et al (2001); Roy and Gorla (2018). Moreover, there are a few studies on the effects of natural convection with partitions or sectors filled with porous medium, such as radial baffles (Lai, 1993), azimuthal partitions in a horizontal annulus (Nishimura et al , 1996), spherical annular sectors (Baytas et al , 2002) and composite concentric annulus (Lemos and Masciarelli, 2017). However, to the best of the authors’ knowledge, the effect of angular sector angle on the natural convection in a horizontal annular sector containing heat-generating porous medium has not been investigated systematically in literature.…”

Section: Introductionmentioning

confidence: 99%

Natural convection in a horizontal annular sector containing heat-generating porous medium

Santos

Sá

2021

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Purpose The purpose of this work is to propose the generalized integral transform technique (GITT) for the investigation of two-dimensional steady-state natural convection in a horizontal annular sector containing heat-generating porous medium. Design/methodology/approach GITT was used to investigate steady-state natural convection in a horizontal annular sector containing heat-generating porous medium. The governing equations in stream function formulation are integral transformed in the azimuthal direction, with the resulting system of nonlinear ordinary differential equations numerically solved by finite difference method. The GITT solutions are validated by comparison with fully numerical solutions by finite difference method, showing excellent agreement and convergence with low computational cost. Findings The effects of increasing Rayleigh number are more noticeable in stream function, whereas less significant for temperature. With decreasing annular sector angle from π to π/6, a reduction in the maximum temperature and stream function was noticed. While the two counter-rotating vortical structure is common for all annular sector angles investigated, the relative size of the two vortices varies with decreasing sector angle, with the vortex near the outer radius of the cavity becoming dominant. The annular sector angle affects strongly the maximum temperature and the partition of heat transfer on the inner and outer surfaces of the annular sector with heat-generating porous medium. Originality/value The strong effects of the annular sector angle on natural convection in annular sectors containing heat-generating porous medium are investigated for the first time. The proposed hybrid analytical–numerical approach can be applied in other convection problems in cylindrical or annular configurations, with or without porous medium. It shows potential for applications in practical convection problems in the nuclear and other industries.

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