Prandtl number effect on bifurcation and dual solutions in natural convection in a horizontal annulus

International Journal of Heat and Mass Transfer

Volumn 42, Issue 17, 1999, Pages 3279-3290

  Yoo, Joo Sik ^a  

^a Andong National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; FLOW PATTERNS; HEATING; PRANDTL NUMBER;

HORIZONTAL ANNULUS; RAYLEIGH NUMBER;

NATURAL CONVECTION;

BIFURCATION; NATURAL CONVECTION; PRANDTL NUMBER;

EID: 0345411402     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00384-6     Document Type: Article

References (18)

1. Powe R.E., Carley C.T., Bishop E.H. Free convective flow patterns in cylindrical annuli. Journal of Heat Transfer. 91:1969;310-314.
2. Powe R.E., Carley C.T., Carruth S.L. A numerical solution for natural convection in cylindrical annuli. Journal of Heat Transfer. 93:1971;210-220.
3. Rao Y.F., Miki Y., Fukuda K., Takata Y., Hasegawa S. Flow patterns of natural convection in horizontal cylindrical annuli. International Journal of Heat and Mass Transfer. 28:1985;705-714.
4. Cheddadi A., Caltagirone J.P., Mojtabi A., Vafai K. Free two-dimensional convective bifurcation in a horizontal annulus. Journal of Heat Transfer. 114:1992;99-106.
5. Yoo J.-S. Dual steady solutions in natural convection between horizontal concentric cylinders. International Journal of Heat and Fluid Flow. 17:1996;587-593.
6. Mack L.R., Bishop E.H. Natural convection between horizontal concentric cylinders for low Rayleigh numbers. Quarterly Journal of Mechanics and Applied Mathematics. 21:1968;223-241.
7. Custer J.R., Shaughnessy E.J. Thermoconvective motion of low Prandtl number fluids within a horizontal cylindrical annulus. Journal of Heat Transfer. 99:1977;596-602.
8. Charrier-Mojtabi M.C., Mojtabi A., Caltagirone J.P. Numerical solution of a flow due to natural convection in horizontal cylindrical annulus. Journal of Heat Transfer. 101:1979;171-173.
9. Yoo J.-S., Choi J.Y., Kim M.-U. Multicellular natural convection of a low Prandtl number fluid between horizontal concentric cylinders. Numerical Heat Transfer, Part A. 25:1994;103-115.
10. Tsui Y.T., Tremblay B. On transient natural convection heat transfer in the annulus between concentric horizontal cylinders with isothermal surfaces. International Journal of Heat and Mass Transfer. 27:1984;103-111.
11. Kumar P. Study of natural convection in horizontal annuli. International Journal of Heat and Mass Transfer. 31:1988;1137-1148.
12. Kolesnikov P.M., Bubnovich V.I. Non-stationary conjugate free-convective heat transfer in horizontal cylindrical coaxial channels. International Journal of Heat and Mass Transfer. 31:1988;1149-1156.
13. Kuehn T.H., Goldstein R.J. A parametric study of Prandtl number and diameter ratio effects on natural convection heat transfer in horizontal cylindrical annuli. Journal of Heat Transfer. 102:1980;768-770.
14. Yoo J-S. Natural convection in a narrow horizontal cylindrical annulus: Pr≤0.3. International Journal of Heat and Mass Transfer. 41:1998;3055-3074.
15. Yoo J-S. Transition and multiplicity of flows in natural convection in a narrow horizontal cylindrical annulus: Pr=0.4. International Journal of Heat and Mass Transfer. 42:1999;709-722.
16. Lee Y., Korpela S.A. Multicellular natural convection in a vertical slot. Journal of Fluid Mechanics. 126:1983;91-121.
17. Busse F.H. Transition to turbulence in Rayleigh-Bénard convection. Swinney H.L., Gollub J.P. Topics in Applied Physics. vol. 45:1981;97-137 Springer-Verlag.
18. Kuehn T.H., Goldstein R.J. An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders. Journal of Fluid Mechanics. 74:1976;695-719.