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TECHNICAL PAPERS: Natural and Mixed Convection

Laminar Natural Convection in Isosceles Triangular Enclosures Heated From Below and Symmetrically Cooled From Above

[+] Author and Article Information
G. A. Holtzman

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712

R. W. Hill

Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, Columbia, MO 65211e-mail: hillrw@missouri.edu

K. S. Ball

Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX 78712e-mail: kball@burst.me.utexas.edu

J. Heat Transfer 122(3), 485-491 (Jan 06, 2000) (7 pages) doi:10.1115/1.1288707 History: Received September 11, 1998; Revised January 06, 2000
Copyright © 2000 by ASME
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References

Flack,  R. D., Konopnicki,  T. T., and Rooke,  J. H., 1979, “The Measurement of Natural Convective Heat Transfer in Triangular Enclosures,” ASME J. Heat Transfer, 101, pp. 648–654.
Karyakin,  Y. E., and Sokovishin,  Y. A., 1985, “Unsteady Natural Convection in a Triangular Enclosure,” Fluid Dyn., 20, pp. 811–815.
Karyakin,  Y. E., Sokovishin,  Y. A., and Martynenko,  O. G., 1988, “Transient Natural Convection in Triangular Enclosures,” Int. J. Heat Mass Transf., 31, pp. 1759–1766.
Akinsete,  V. A., and Coleman,  T. A., 1982, “Heat Transfer by Steady Laminar Free Convection in Triangular Enclosures,” Int. J. Heat Mass Transf., 25, pp. 991–998.
Poulikakos,  D., and Bejan,  A., 1983, “The Fluid Dynamics of an Attic Space,” J. Fluid Mech., 131, pp. 251–269.
Ghassemi, M., and Roux, J. A., 1989, “Numerical Investigation of Natural Convection Within a Triangular Shaped Enclosure,” Heat Transfer in Convective Flows, R. K. Shah, ed., ASME, New York, pp. 169–175.
Salmun,  H., 1995, “Convection Patterns in a Triangular Domain,” Int. J. Heat Mass Transf., 38, pp. 351–362.
Hasani, S. M. F., and Chung, B. T. F., 1997, “Laminar Natural Convection in a Triangular Enclosure,” Proceedings of the ASME Ocean Engineering Division, D. T. Valentine, and C. C. Jahnke, eds., ASME, New York, pp. 107–116.
Del Campo,  E. M., Sen,  M., and Ramos,  E., 1988, “Analysis of Laminar Natural Convection in a Triangular Enclosure,” Numer. Heat Transfer, 13, pp. 353–372.
Collatz, L., 1966, The Numerical Treatment of Differential Equations, Springer-Verlag New York.
Flack,  R. D., 1980, “The Experimental Measurement of Natural Convection Heat Transfer in Triangular Enclosures Heated or Cooled From Below,” ASME J. Heat Transfer, 102, pp. 770–772.
Poulikakos,  D., and Bejan,  A., 1983, “Natural Convection Experiments in a Triangular Enclosure,” ASME J. Heat Transfer, 105, pp. 652–655.
FIDAP Reference Manuals, 1996, Fluent, Inc., Lebanon, NH.
Moffat,  R. J., 1982, “Contribution to the Theory of Single-Sample Uncertainty Analysis,” ASME J. Fluids Eng., 104, pp. 250–258.
Hill,  R. W., and Ball,  K. S., 1997, “Chebyshev Collocation Analysis of Axisymmetric Flow and Heat Transfer between Counter-Rotating Disks,” ASME J. Fluids Eng., 119, pp. 940–947.

Figures

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Physical domain and boundary conditions
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Streamline (upper) and temperature (lower) profiles for Gr=103: (a) A=1.0; (Δψ=0.0252, Δθ=0.2), (b) A=0.5; (Δψ=0.0374, Δθ=0.2), and (c) A=0.2; (Δψ=0.0316, Δθ=0.2)
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Symmetric experimental flow pattern for Gr=5×103 and A=0.5
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Determination of Grc for each aspect ratio using maximum horizontal velocity at the geometric symmetry plane
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Streamline (upper) and temperature (lower) profiles for Gr=104: (a) A=0.5 (Δψ=1.11, Δθ=0.2), and (b) A=0.2 (Δψ=1.57, Δθ=0.2)
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Experimental flow pattern for Gr=104 and A=0.5
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Streamline (upper) and temperature (lower) profiles for Gr=105: (a) A=1.0 (Δψ=3.34, Δθ=0.2), (b) A=0.5 (Δψ=4.93, Δθ=0.2), and (c) A=0.2 (Δψ=6.73, Δθ=0.2)
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Experimental flow pattern for Gr=105 and A=0.5
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Nuc along the base for asymmetric and symmetric solutions at Gr=105 (a) A=1.0, (b) A=0.5, and (c) A=0.2
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Nuc along the base for A=0.5,Gr=105 using different grid resolutions
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Horizontal velocity profile at the geometric symmetry plane for A=0.5,Gr=105 using different grid resolutions

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