Transient thermal convection in a spherical enclosure containing a fluid core and a porous shell

International Journal of Heat and Mass Transfer

Volumn 40, Issue 2, 1997, Pages 379-392

  Nguyen, Hoa D ^a   Paik, Seungho ^a   Pop, Ioan ^b  

^a IDAHO NATIONAL LABORATORY   (United States)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; CHEBYSHEV APPROXIMATION; ENERGY TRANSFER; HEAT FLUX; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; POLYNOMIALS; POROUS MATERIALS; THERMAL CONDUCTIVITY;

ADAMS BASHFORTH SCHEME; BACKWARD EULER SCHEME; BOUSSINESQ APPROXIMATION; BRINKMAN EQUATION; COLLOCATION METHOD; CONVECTIVE DIFFUSION EQUATION; CORE FLUIDS; GALERKIN METHOD; POROUS SHELL; TRANSIENT NATURAL CONVECTION;

NATURAL CONVECTION;

EID: 0030701854     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/0017-9310(96)00095-6     Document Type: Article

References (13)

1. D. A. Nield, Onset of convection in a fluid layer overlying a layer of a porous medium, J. Fluid Mech. 81, 513-522 (1977).
2. T. Nishimura, T. Takumi, M. Shiraishi, Y. Kawamura and H. Ozoe, Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous region, Int. J. Heat Mass Transfer 29, 889-898 (1986).
3. T. W. Tong and E. Subramanian, Natural convection in rectangular enclosures partially filled with a porous medium, Int. J. Heat Fluid Flow 7, 3-10 (1986).
4. S. B. Sathe, W.-Q. Lin and T. W. Tong, Natural convection in enclosures containing an insulation with a permeable fluid-porous interface, Int. J. Heat Fluid 9, 389-395 (1988).
5. S. B. Sathe and T. W. Tong, Experimental study of natural convection in a partially porous enclosure, J. Thermophys. Heat Transfer 1, 260-267 (1987).
6. C. Beckermann, S. Ramadhyani and R. Viskanta, Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure, J. Heat Transfer 109, 363-370 (1987).
7. C. Beckermann, R. Viskanta and S. Ramadhyani, Natural convection in vertical enclosures containing simultaneously fluid and porous layer, J. Fluid Mech. 186, 257-284 (1988).
8. V. R. Voller, A. D. Brent and C. Prakash, The modeling of heat, mass and solute transport in solidification systems, Int. J. Heat Mass Transfer 32, 1719-1731 (1989).
9. F. Shen, J. M. Khodadadi and Y. Zhang, Pseudosteady-state natural convection inside spherical containers, ASME/JSME Thermal Engineering Conference, Vol. 1, 209-216 (1995).
10. D. L. R. Oliver and J. M. Chung, Flow about a fluid sphere at low to moderate Reynolds numbers, J. Fluid Mech. 177, 1-18 (1987).
11. H. D. Nguyen and J. N. Chung, A Chebyshev-Legendre spectal method for the transient solution of flow past a solid sphere, J. Comput. Phys. 104, 303-312 (1993).
12. B. Abramzon and I. Borde, Conjugate unsteady heat transfer from a droplet in creeping flow, A.I.Ch.E. J. 26, 536-544 (1980).
13. M. Rottenberg, R. Bivins, N. Metropolis and J. K. Wooten, The 3-J and 6-J Symbols. MIT Press, Cambridge, MA (1959).