Empirical Nu–Ra–Fo relationships for natural convection in air-filled hemispherical enclosures. Isothermal and inclined disk with dome oriented downwards

Natural convective heat transfer in the air-filled interstice between inclined concentric hemispheres

“…These aerodynamic phenomena are different from those observed in the case of the hemispherical cavity whose dome is maintained at the minimum temperature, while the hot source is the disk itself. In this geometrical configuration presented by Baïri and García de María (2013), Baïri et al (2014) a, Baïri and Öztop (2014), Baïri (2014a), Baïri (2014b) and Baïri (2015), the natural convective flows are more pronounced for the same thermal conditions (generated volumetric heat flux), in view of the most important fluid space.…”

“…The effect of Ra and therefore the volumetric power generated by the inner hemisphere on the convective heat transfer is clearly highlighted. However, the inclination angle α affects only weakly these exchanges, which is not the case for the cavity examined by Baïri and García de María (2013), Baïri et al (2014a), Baïri and Öztop (2014), Baïri (2014a), Baïri (2014b) and Baïri (2015) whose heat source is included in the disk itself. This observation is valid for both treated thermal boundary conditions (Dirichlet and Neumann).…”

“…The review by Kelkar et al (1992) contains a compilation of correlations obtained by numerical and experimental methods. The quantification of the convective heat transfer occurring in hemispherical cavities is presented by Baïri and García de María (2013), Baïri et al (2014), Baïri and Öztop (2014), Baïri (2014a), 2014b and Baïri (2015). The disk of these cavities is the source generating the convective flow.…”

A synthesis of correlations on quantification of free convective heat transfer in inclined air-filled hemispherical enclosures

“…Values of Ra TL , Ra TC , k T (α) and n T (α) for Nu T α ð Þ ¼ k T α ð ÞRa nT α ð Þ T [6,8,10]. Transient regime correlations: values of c φ (α) for Nuφ α ð Þ ¼ max [7,9]. Correlations valid for 0°≤ α ≤ 180°.…”

“…The aim of the present review is to synthesize the results obtained in the recent works [1][2][3][4][5][6][7][8][9][10] dealing with the quantification of the convective heat transfer occurring in hemispherical enclosures as sketched in Fig. 1(a).…”