Natural convection in inclined hemispherical cavities with isothermal disk and dome faced downwards. Experimental and numerical study

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

“…3 in the (x,y) plane by the dimensionless temperature T* and velocity U* = U/U max fields, completed by the velocity vectors. This had been observed in previous studies for the constant heat flux condition imposed on the disk, in steady state [23] and transient regime [20]. The results show that the Nusselt number remains close to unity throughout the entire transient process in the whole considered Ra T range.…”

Unsteady Natural Convection between Two Eccentric Hemispheres

“…Other studies have addressed concentric cylinders and spheres. Thus, by studying transient natural convection heat transfer between concentric and vertically eccentric spheres, Chiu and Chen [4] observed that for a range of Rayleigh numbers ( 3 5 10 10 Ra < < ), for a Prandtl number and a radius ratio equal respectively 0.7 and 2, the heat and flow fields are dependent on the Rayleigh number and the eccentricity of the annulus. Crawford and Lemlich [5] analysed natural convection in horizontal concentric cylindrical annuli, they showed that the results revealed characteristic twin kidney-shaped circulation patterns.…”

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].…”

“…The correlations obtained in studies [1][2][3][4][5][6][7][8][9][10] are presented in the single Table 1.…”