Analytical modeling of natural convection in concentric spherical enclosures

Journal of Thermophysics and Heat Transfer

Volumn 20, Issue 2, 2006, Pages 297-304

  Teertstra, P ^a,b   Yovanovich, M M ^a,b   Culham, J R ^a,c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b Microelectronics Heat Transfer Laboratory   (Canada)

^c Microelectronics Heat Transfer Lab   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; HEAT CONDUCTION; LAMINAR FLOW; MATHEMATICAL MODELS;

BOUNDARY-LAYER CONVECTION; NUMERICAL DATA; SPHERICAL-SHAPED ENCLOSURE; SUPERPOSITION;

NATURAL CONVECTION;

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; HEAT CONDUCTION; LAMINAR FLOW; MATHEMATICAL MODELS; NATURAL CONVECTION;

EID: 33744515381     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.16811     Document Type: Article

References (28)

1. Bishop, E. H., Kolfiat, R. S., Mack, L. R., and Scanlan, J. A., "Convective Heat Transfer Between Concentric Spheres," Proceedings of the 1964 Heat Transfer and Fluid Mechanics Institute, edited by W. H. Giedt and S. Levy, Stanford Univ. Press, Stanford, CA, 1964, pp. 69-80.
2. Bishop, E. H., Mack, L. R., and Scanlan, J. A., "Heat Transfer by Natural Convection Between Concentric Spheres," International Journal of Heat and Mass Transfer, Vol. 9, No. 7, 1966, pp. 649-662.
3. Mack, L. R., and Hardee, H. C., "Natural Convection Between Concentric Spheres at Low Rayleigh Numbers," International Journal of Heat and Mass Transfer, Vol. 11, No. 3, 1968, pp. 387-396.
4. Scanlan, J. A., Bishop, E. H., and Powe, R. E., "Natural Convection Heat Transfer Between Concentric Spheres," International Journal of Heat and Mass Transfer, Vol. 13, No. 12, 1970, pp. 1857-1872.
5. Weber, N., Powe, R. E., Bishop, E. H., and Scanlan, J. A., "Heat Transfer by Natural Convection Between Vertically Eccentric Spheres," Journal of Heat Transfer, Vol. 95, No. 1, 1973, pp. 47-52.
6. Astill, K. N., Leong, H., and Martorana, R., "A Numerical Solution for Natural Convection in Concentric Spherical Annuli," Natural Convection in Enclosures, American Society of Mechanical Engineers, New York, Vol. 8, 1980, pp. 105-113.
7. Caltagirone, J.-P., Combarnous, M., and Mojtabi, A., "Natural Convection Between Two Concentric Spheres: Transition Toward a Multicellular Flow," Numerical Heat Transfer, Vol. 3, No. 1, 1980, pp. 107-114.
8. Singh, S. H., and Chen, J., "Numerical Solution for Free Convection Between Concentric Spheres at Moderate Grashof Numbers," Numerical Heat Transfer, Vol. 3, No. 4, 1980, pp. 441-459.
9. ingham, D. B., "Heat Transfer by Natural Convection Between Spheres and Cylinders," Numerical Heat Transfer, Vol. 4, No. 1, 1981, pp. 53-67.
10. Wright, J. L., and Douglass, R. W., "Natural Convection in NarrowGap, Spherical Annuli," International Journal of Heat and Mass Transfer, Vol. 29, No. 5, 1986, pp. 725-739.
11. Fujii, M., Takamatsu, H., and Fujii, T., "A Numerical Analysis of Free Convection Around an Isothermal Sphere (Effects of Space and Prandtl Number)," Proceedings of the 1987 ASME/JSME Thermal Engineering Joint Conference, edited by J. Marto and I. Tanasawa, Vol. 4, 1987, pp. 55-60.
12. Garg, V. K., "Natural Convection Between Concentric Spheres," International Journal of Heat and Mass Transfer, Vol. 35, No. 8, 1992, pp. 1935-1945.
13. Chu, H.-S., and Lee, T.-S., "Transient Natural Convection Heat Transfer Between Concentric Spheres," International Journal of Heat and Mass Transfer, Vol. 36, No. 13, 1993, pp. 3159-3170.
14. Chiu, C. P., and Chen, W. R., "Transient Natural Convection Heat Transfer Between Concentric and Vertically Eccentric Spheres," International Journal of Heat and Mass Transfer, Vol. 39, No. 7, 1996, pp. 1439-1452.
15. Teertstra, P., Yovanovich, M. M., and Culham, J. R., "Natural Convection Measurements for a Concentric Spherical Enclosure," Paper No. 32974, IMECE Conference, American Society of Mechanical Engineers, New York, Nov. 2002.
16. Raithby, G. D., and Hollands, K. G. T., "A General Method of Obtaining Approximate Solutions to Laminar and Turbulent Free Convection Problems," Advances in Heat Transfer, edited by T. F. Irvine, Jr., and J. P. Hartnett, Vol. 11, Academic Press, New York, 1975, pp. 265-315.
17. Kuehn, T. H., and Goldstein, R. J., "Correlating Equations for Natural Convection Heat Transfer Between Horizontal Circular Cylinders," International Journal of Heat and Mass Transfer, Vol. 19, No. 10, 1976, pp. 1127-1134.
18. Churchill, S. W., and Usagi, R., "A General Expression for the Correlation of Rates of Transfer and Other Phenomenon," American Institute of Chemical Engineers Journal, Vol. 18, No. 6, 1972, pp. 1121-1128.
19. Yovanovich, M. M., "New Nusselt and Sherwood Numbers for Arbitrary Isopotential Geometries at Near Zero Peclet and Rayleigh Numbers," AIAA Paper 87-1643, 1987.
20. Marpur, K., "Analytical and Experimental Study of Laminar Free Convective Heat Transfer from Isothermal Convex Bodies of Arbitrary Shape," Ph.D. Dissertation, Dept. of Mechanical Engineering, Univ. of Waterloo, Ontario, Canada, 1992.
21. lncropera, F. P., and DeWitt, D. P., Fundamentals of Heat and Mass Transfer, 4th ed., Wiley, New York, 1996, pp. 96-99, 114-118.
22. Churchill, S. W., and Churchill, R. U., "A Comprehensive Correlating Equation for Heat and Component Heat Transfer by Free Convection," American Institute of Chemical Engineers Journal, Vol. 21, No. 3, 1975, pp. 604-606.
23. Lee, S., Yovanovich, M. M., and Jafarpur, K., "Effects of Geometry and Orientation on Laminar Natural Convection Heat Transfer from Isothermal Bodies," Journal of Thermophysics and Heat Transfer, Vol. 5, No. 2, 1991, pp. 208-216.
24. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., Transport Phenomena, Wiley, New York, 1960, pp. 297-300.
25. Rohsenow,W.M. and Choi, H.Y.,Heat, Mass and Momentum Transfer, Prentice-Hall, Upper Saddle River, NJ, 1961, pp. 143-146.
26. Batchelor, G. K., "Heat Transfer by Free Convection Across a Closed Cavity Between Vertical Boundaries at Different Temperatures," Quarterly of Applied Mathematics, Vol. 12, No. 3, 1954, pp. 209-223.
27. Eckert, E. R. G., and Carlson, W. O., "Natural Convection in an Air Layer Enclosed Between Two Vertical Plates with Different Temperatures," International Journal of Heat and Mass Transfer, Vol. 2, No. 2, 1961, pp. 106-120.
28. Chamberlain, M. J., "Free Convection Heat Transfer from a Sphere, Cube and Vertically Aligned Bi-Sphere," M.A.Sc. Thesis, Dept. of Mechanical Engineering, Univ. of Waterloo, Ontario, Canada, 1983.