Transient natural convection heat transfer between concentric and vertically eccentric spheres

International Journal of Heat and Mass Transfer

Volumn 39, Issue 7, 1996, Pages 1439-1452

  Chiu, Cheng Ping ^a   Chen, Wen Ruey ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COOLING; HEATING; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; SPHERES; TEMPERATURE;

RADIAL COORDINATION TRANSFORMATION; RAYLEIGH NUMBERS; TRANSIENT ANALYSIS; VORTICITY;

NATURAL CONVECTION;

EID: 0030150953     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/0017-9310(95)00189-1     Document Type: Article

References (18)

1. E. H. Bishop, L. R. Mack and J. A. Scanlan, Heat transfer by natural convection between concentric spheres, Int. J. Heat Mass Transfer 9, 649-662 (1966).
2. J. A. Scanlan, E. H. Bishop and R. E. Powe, Natural convection heat transfer between concentric spheres, Int. J. Heat Mass Transfer 13, 1857-1872 (1970).
3. S. H. Yin, R. E. Powe, J. A. Scanlan and E. H. Bishop, Natural convection flow patterns in spherical annuli, Int. J. Heat Mass Transfer 16, 1785-1795 (1973).
4. L. R. Mack and H. C. Hardee, Natural convection between concentric spheres at low Rayleigh numbers, Int. J. Heat Mass Transfer 11, 387-396 (1968).
5. K. N. Astill, H. Leong and R. Martorana, A numerical solution for natural convection in concentric spherical annuli, Proceedings of the 19th National Heat Transfer Conference, ASME HTD-Vol. 8, pp. 105-113 (1980).
6. S. N. Singh and J. Chen, Numerical solution for free convection between concentric spheres at moderate Grashof numbers, Numer. Heat Transfer 3, 441-459 (1980).
7. J. P. Caltagirone, M. Combarnous and A. Mojtabi, Natural convection between two concentric spheres: transition toward a muticellular flow, Numer. Heat Transfer 3, 107-114 (1980).
8. D. B. Ingham, Heat transfer by natural convection between spheres and cylinders, Numer. Heat Transfer 4, 53-67 (1981).
9. J. L. Wright and R. W. Douglass, Natural convection in narrow-gap spherical annuli. Int. J. Heat Mass Transfer 29, 725-739 (1986).
10. V. K. Garg, Natural convection between concentric spheres, Int. J. Heat Mass Transfer 35, 1935-1945 (1992).
11. T. Fujii, T. Honda and M. Fujii, A numerical analysis of laminar free convection around an isothermal sphere: finite-difference solution of the full Navier-Stokes and energy equations between concentric spheres, Numer. Heat Transfer 7, 103-111 (1984).
12. M. Fujii, H. Takamatsu and T. Fujii, A numerical analysis of free convection around an isothermal sphere (effects of space and Prandtl number), Proceedings of 1987 ASME-JSME Thermal Engineering Joint Conference, Vol. 4, pp. 55-60 (1987).
13. H. Ozoe, K. Fujii, T. Shibata, H. Kuriyama and S. W. Churchill, Three-dimensional numerical analysis of natural convection in a spherical annulus, Numer. Heat Transfer 8, 383-406 (1985).
14. H. Ozoe, H. Kuriyama and A. Takami, Transient natural convection in a spherical and a hemispherical enclosure, Proceedings of 1987 ASME-JSME Thermal Engineering Joint Conference, Vol. 4, pp. 19-25 (1987).
15. Y. Mochimaru, Transient natural convection heat transfer in a spherical cavity, Heat Transfer-Jap. Res. 18, 9-19 (1989).
16. H. S. Chu and T. S. Lee, Transient natural convection heat transfer between concentric spheres, Int. J. Heat Mass Transfer 36, 3159-3170 (1993).
17. J. Prusa and L. S. Yao, Natural convection heat transfer between eccentric horizontal cylinders, ASME J. Heat Transfer 105, 108-116 (1983).
18. D. W. Peaceman and H. H. Rachford, Jr, The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math. 3, 28-41 (1955).