NUMERICAL INVESTIGATION OF NATURALCONVECTION IN A VERTICAL ANNULUSENCLOSURE
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Abstract
A numerical technique is developed to predict both the transient and steady axisymmetric two-dimensional natural convection heat transfer for water as the working fluid in a vertical annulus enclosure of a fixed radius ratio (2) aspect ratio (1) and Rayleigh number ranging within (103 ≤Rad≤106) for a fixed Prandtl number (Pr=7). Finite difference analogs of the Navier – Stokes and thermal energy equations are solved in the stream function – vorticity frame work. The results obtained are
presented graphically in the form of streamline, vorticity and isotherm contour plots. A correlation has been set up to give the average Nusselt number variation with Rad and for which the results are found to be in good agreement with previously published experimental data.
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References
Akbar Hessami, M. A., Pollard, A., Rowe, R. D., and R th, D. W., (1985), “A st dy of free convection heat transfer in horizontal ann l s with a large radii ratio”, ASME J. of Heat Transfer, Vol. 107, PP. 603-609.
Boyd, R., (1983), “A nified theory for correlating steady laminar natural convection heat transfer data for horizontal ann li”, ASME J. of heat transfer, Vol. 105, PP. 1545-1548.
Charrier-Mojtabi, M. C., Mojtabi, A. and Caltaglrone, J. P., (1979), “N merical
solution of flow due to natural convection in horizontal cylindrical ann l s”, ASME J. of heat transfer, Vol. 101, PP. 171-173.
Date, A. W., (1986), “N merical prediction of nat ral convection heat transfer in horizontal ann l s”, Int. J. of Heat and Mass Transfer, Vol. 29, PP. 1457-1464.
Keyhani M., K lacki F. A. and Christensen R. N., (1983), “Free convection in vertical ann l s with constant heat fl x on inner wall”, ASME J. of Heat Transfer, Vol. 105, PP. 454-459.
K bair, V. B., and Simha, C. R. V., (1982), “Free convection heat transfer to mercury in vertical ann l s”, Int. J. of Heat and Mass Transfer, Vol. 25, No. 3, PP. 399-402.
K hen, T. H., and Golstein, R.J. (1976), “An experimental and theoretical st dy of nat ral convection in the ann l s between horizontal concentric cylinders”, J. of Fluid Mechanics, Vol. 74, Part 4, PP. 695-699.
K hen, T. H., and Golstein, R.J. (1980), “A parametric st dy of Prandtl n mber and diameter ratio effects on natural convection heat transfer in horizontal cylindrical ann li”, Trans. of ASME, Vol. 102, PP. 768-770.
Lee, J. H., and Lee, T. S., (1981), “Nat ral convection in ann li between horizontal confocal elliptic cylinders”, Int. J. of Heat and Mass Transfer, Vol. 24, No. 10, PP. 1734-1742.
Prasad, V. and K lacki, F. A., (1985), “Free convection heat transfer liquid filled vertical ann l s”, ASME J. of Heat Transfer, Vol. 107, PP. 596-602.
Schwab, T. H., and De Witt, K. J., (1970), “N merical investigation of free
convection between two vertical coaxial cylinders”, AICHE J., Vol. 16, PP. 1005-1010.
Sh e, C., X e, H. and Zh , Y. D., (2001), “N merical st dy of nat ral convection in
an eccentric annulus between a square outer cylinder and circular inner cylinder using DQ method”, Int. J. of Heat and Mass Transfer, Vol. 44, PP. 3321-3333.