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Original Articles

THREE-DIMENSIONAL LAMINAR BUOYANT FLOW IN A HORIZONTAL CIRCULAR CYLINDER WITH DIFFERENTIALLY HEATED END WALLS AT HIGH RAYLEIGH NUMBERS

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Pages 429-446 | Received 11 Nov 1987, Accepted 16 Mar 1988, Published online: 27 Feb 2007

REFERENCES

  • F. Rosenberger , Fluid Dynamics in Crystal Growth from Vapors , Phys. Chem. Hydrodyn. , vol. 1 , pp. 1 – 24 , 1979 .
  • S. Ostrach , Fluid Mechanics in Crystal Growth—The 1982 Freeman Scholar Lecture, J. Fluid Eng. , vol. 105, pp. 5–20, 1983.
  • S. W. Hong , Natural Circulation in Horizontal Pipe , Int. J. Heat Mass Transfer , vol. 20 , pp. 685 – 691 , 1977 .
  • A. Bejan and C. L. Tien , Fully Developed Natural Counterflow in a Long Horizontal Pipe with Different End Temperatures , Int. J. Heat Mass Transfer , vol. 21 , pp. 701 – 708 , 1978 .
  • K. Kimura and A. Bejan , Numerical Study of Natural Circulation in a Horizontal Duct with Different End-Temperatures , Wärme-Stoffübertrag , vol. 14 , pp. 269 – 280 , 1980 .
  • H. Ozoe , T. Shibata , and S. W. Churchill , Natural Convection in an Inclined Circular Cylindrical Annulus Heated and Cooled on its End Plates . Int. J. Heat Mass Transfer , vol. 24 , pp. 727 – 737 , 1981 .
  • Y. Takata , K. Fukuda , S. Hasegawa , H. Shimoomura , and K. Sanokawa , Three-Dimensional Natural Convection in a Porous Medium Enclosed in a Vertical Curved Annulus , Num. Heat Transfer , pp. 29 – 39 , 1983 .
  • Y. Takata , K. Iwashige , K. Fukuda , and S. Hasegawa , Three-Dimensional Natural Convection in an Inclined Cylindrical Annulus , Int. J. Heat Mass Transfer , vol. 27 , pp. 747 – 754 , 1984 .
  • Y. Rao , Y. Miki , K. Fukuda , and Y. Takata , Flow Patterns of Natural Convection in Horizontal Cylindrical Annuli , Int. J. Heat Mass Transfer , vol. 28 , pp. 705 – 714 , 1985 .
  • T. Fusegi and B. Farouk , A Three-Dimensional Study of Natural Convection in the Annulus between Horizontal Concentric Cylinders , Proc. 8th Int. Heat Transfer Conf. San Francisco , vol. 4 , pp. 1575 – 1580 , 1986 .
  • C. Smutek , P. Bontoux , B. Roux , G. H. Schiroky , A. C. Hurford , F. Rosenberger , and G. de Vahl Davis , Three Dimensional Convection in Horizontal Cylinders. Numerical Solutions and Comparison with Experimental and Analytical Results , Num. Heal Transfer , vol. 8 , pp. 613 – 631 , 1985 .
  • Z. Y. Zhong , K. T. Yang , and J. R. Lloyd , Variable Property Effects in Laminar Natural Convection in a Square Enclosure , J. Heat Transfer , vol. 107 . pp. 133 – 138 , 1985 .
  • D. D. Gray and A. Giorgini , The Validity of the Boussinesq Approximation for Liquids and Gases , Int. J. Heat Mass Transfer , vol. 19 , pp. 545 – 551 , 1976 .
  • H. Q. Yang , K. T. Yang , and J. R. Lloyd , Flow Transition in Laminar Flow in a Three-Dimensional Tilted Rectangular Enclosure , Proc. 8th Int. Heat Transfer Conf. San Francisco , vol. 4 , pp. 1495 – 1500 , 1986 .
  • H. Q. Yang , K. T. Yang , and J. R. Lloyd , Laminar Natural Convection Flow Transition in Tilted Three-Dimensional Longitudinal Rectangular Enclosures , Int. J. Heat Mass Transfer , vol. 30 , pp. 1637 – 1644 , 1987 .
  • H. Q. Yang , K. T. Yang , and J. R. Lloyd , Three-Dimensiona] Buoyant Bimodal Flow Transition in Tilted Enclosures , Int. J. Heat Fluid Flow , 1988 .
  • A. C. Eringn , Mechanics ofContinua , J. Wiley , New York , 1967 .
  • G. D. Raithby , P. F. Galpin , and J. P. Van Doormaal , Prediction of Heat and Fluid Flow in Complex Geometries Using General Orthogonal Coordinates , Numer. Heat Transfer , vol. 9 , pp. 125 – 142 , 1986 .
  • B. P. Leonard , A Convective Stable, Third-Order Accurate Finite-Difference Method for Steady Two-Dimensional Flow and Heat Transfer , in T. M. Shih (ed), Numerical Properties and Methodologies in Heat Transfer , pp. 221 – 226 , Hemisphere , Washington , D.C. , 1983 .
  • H. Q. Yang , Laminar Buoyant Flow Transitions in Three-Dimensional Tilted Rectangular Enclosures . 227 pp., Ph.D. thesis , University of Notre Dame , Notre Dame, Ind. , 1987 .
  • J. Raycraft , H. Q. Yang , K. T. Yang , and M. D. Kelleher , Fire Spread in a Three-Dimensional Pressure Vessel with Radiation Exchange and Wall Heat Losses (in preparation) , 1988 .
  • G. de Vahl Davis , A Note on Mesh For Use with Polar Coordinates , Numer. Heat Transfer , vol. 2 , pp. 261 – 266 , 1979 .
  • N. C. Markatos and K. A. Pericleous , Laminar and Turbulent Natural Convection in an Enclosed Cavity, Int. J. Heat Mass Transfer , vol. 27, pp. 755–772, 1984.
  • G. de Vahl Davis , Natural Convection of Air in a Square Cavity Bench Mark Numerical Solution , Int. J. Numer. Method Fluid , vol. 3 , pp. 249 – 264 , 1983 .
  • D. E. Cormack , L. G. Leal , and J. H. Seinfeld , Natural Convection in a Shallow Cavity with Differentially Heated End Walls, pt. 2, Numerical Solution , J. Fluid Mech. , vol. 65 , pp. 247 – 260 , 1974 .
  • C. Quon , Effects of Grid Distribution on the Computation of High Rayleigh Number Convection in a Differentially Heated Cavity , in T. M. Shih (ed.), IT>Numerical Properties and Methodologies in Heat Transfer , pp. 261 – 281 , Hemisphere , Washington , D.C. , 1983 .
  • G. H. Schiroky and F. Rosenberger , Free Convection of Gases in a Horizontal Cylinder with Differentially Heated End Walls , Int. J. Heat Mass Transfer , vol. 27 , pp. 587 – 598 , 1984 .
  • G. H. Schiroky and F. Rosenberger , High Rayleigh Number Heat Transfer in a Horizontal Cylinder with Adiabatic Wall , Int. J. Heat Mass Transfer , vol. 27 , pp. 630 – 633 , 1984 .
  • A. E. Gill , The Boundary-layer Regime for Convection in a Rectangular Cavity , J. Fluid Mech. , vol. 26 , pp. 515 – 536 , 1966 .
  • S. Kimura and A. Bejan , Experimental Study of Natural Convection in a Horizontal Cylinder with Different end Temperatures , Int. J. Heat Mass Transfer , vol. 23 , pp. 1117 – 1126 , 1980 .
  • G. D. Raithby and K. G. T. Hollands , Natural Convection , in Handbook of Heat Transfer Fundamentals, , 2d ed. , Chap. 6 , McGraw-Hill , New York , 1985 .

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