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TECHNICAL PAPERS: Natural and Mixed Convection

Buoyancy-Driven Flow Transitions in Deep Cavities Heated From Below

[+] Author and Article Information
Chunmei Xia, Jayathi Y. Murthy

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Heat Transfer 124(4), 650-659 (Jul 16, 2002) (10 pages) doi:10.1115/1.1481356 History: Received May 18, 2001; Revised March 07, 2002; Online July 16, 2002
Copyright © 2002 by ASME
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References

Griffiths, S. K., Nilson, R. H., et al., 1998, “Transport Limitations in Electrodeposition for LIGA Microdevice Fabrication,” SPIE Conference on Micromachining and Microfabrication Process Technology IV, Santa Clara, California.
Hakin, H., 1984, “Instability Hierarchies of Self Organizing Systems and Devices,” in Advanced Synergetics, Springer-Verlag, Berlin.
Grassberger,  P., and Procaccia,  I., 1983, “Characterization of Strange Attractors,” Phys. Rev. Lett., 50, pp. 346–349.
Davis,  S., 1967, “Convection in a Box: Linear Theory,” J. Fluid Mech., 30(3), pp. 465–478.
Stork,  K., and Muller,  U., 1972, “Convection in a Box: Experiments,” J. Fluid Mech., 54(4), pp. 599–611.
Yang,  K. T., 1988, “Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures,” ASME J. Heat Transfer, 110, pp. 1191–1204.
Gollub,  J. P., and Benson,  S. V., 1980, “Many Routes to Turbulent Convection,” J. Fluid Mech., 100, Part 3, pp. 449–470.
Stella,  F., and Bucchignani,  E., 1999, “Rayleigh-Benard Convection in Limited Domains: Part 1—Oscillatory Flow,” Numer. Heat Transfer, 36, pp. 1–16.
Mukutmoni,  D., and Yang,  K. T., 1993, “Rayleigh-Benard Convection in a Small Aspect Ratio Enclosure: Part 1—Bifurcation to Oscillatory Convection,” ASME J. Heat Transfer, 115, pp. 360–366.
Stella,  F., and Bucchignani,  E., 1999, “Rayleigh-Benard Convection in Limited Domains: Part 2—Transition to Chaos,” Numer. Heat Transfer, 36, pp. 17–34.
Mukutmoni,  D., and Yang,  K. T., 1993, “Rayleigh-Benard Convection in a Small Aspect Ratio Enclosure: Part 1—Bifurcation to Chaos,” ASME J. Heat Transfer, 115, pp. 367–376.
Ruelle,  D., Takens,  F., and Newhouse,  S. E., 1978, “Occurrence of Strange Axiom A Attractors Near Quasi Periodic Flows on Tm,m≥3,” Commun. Math. Phys., 64, pp. 35–40.
Feigenbaum,  M. J., 1979, “The Onset Spectrum of Turbulence,” Phys. Lett., A74, pp. 375–378.
Pomeau,  Y., and Manneville,  P., 1980, “Intermittent Transition to Turbulence in Dissipative Dynamic Systems,” Commun. Math. Phys., 74, pp. 189–197.
Leong,  W. H., Hollands,  K. G. T., and Brunger,  A. P., 1998, “On a Physically Realizable Benchmark Problem in Internal Natural Convection,” Int. J. Heat Mass Transf., 41(23), pp. 3817–3828.
Leong,  W. H., Hollands,  K. G. T., and Brunger,  A. P., 1999, “Experimental Nusselt Numbers for a Cubical-Cavity Benchmark Problem in Natural Convection,” Int. J. Heat Mass Transf., 42, pp. 1979–1989.
Mathur,  S. R., and Murthy,  J. Y., 1997, “A Pressure-Based Method for Unstructured Meshes,” Numer. Heat Transfer, 31, pp. 195–216.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, New York.

Figures

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Natural convection in cubical cavity
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2T configuration for a box of 16.42×27.72×7.9 mm (isolines of vertical velocity at horizontal middle plane for Ra=3×104,Pr=2.5)
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Comparison with Gollub-Benson 7 and Stella-Bucchignani 8 (V velocity along Y at X=1.651 and Z=0.875 for Ra=3×104,Pr=2.5)
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Comparison of RaI with Davis 4
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Steady state flow pattern for Ar=1: (a) Ra=2×104; (b) Ra=105; and (c) Ra=2×105.
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Flow behavior at Ra=4.07×105 for Ar=1: (a) U velocity variation with time at point (X=0.7,Y=0.7,Z=0.7),Ar=1; and (b) Corresponding power spectrum.
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Flow behavior at Ra=4.275×105 for Ar=1: (a) U velocity variation with time at point (X=0.7,Y=0.7,Z=0.7),Ar=1; and (b) corresponding power spectrum.
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Flow behavior at Ra=4.48×105 for Ar=1: (a) U velocity variation with time at point (X=0.7,Y=0.7,Z=0.7),Ar=1; and (b) corresponding power spectrum.
Grahic Jump Location
Flow behavior at Ra=4.68×105 for Ar=1: (a) U velocity variation with time at point (X=0.7,Y=0.7,Z=0.7),Ar=1; and (b) corresponding power spectrum.
Grahic Jump Location
Flow behavior at Ra=4.80×105 for Ar=1: (a) U velocity variation with time at point (X=0.7,Y=0.7,Z=0.7),Ar=1; and (b) corresponding power spectrum.
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Steady state flow pattern for Ar=2: (a) Ra=3×104; (b) Ra=1.22×105; and (c) Ra=1.62×106
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Flow behavior at Ra=1.65×106 for Ar=2: (a) U velocity variation with time at point (X=0.35,Y=0.35,Z=0.7),Ar=2; and (b) corresponding power spectrum.
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Flow behavior at Ra=1.67×106 for Ar=2: (a) U velocity variation with time at point (X=0.35,Y=0.35,Z=0.7),Ar=2; and (b) corresponding power spectrum.
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Flow behavior at Ra=1.69×106 for Ar=2: (a) U velocity variation with time at point (X=0.35,Y=0.35,Z=0.7),Ar=2; and (b) corresponding power spectrum.
Grahic Jump Location
Flow behavior at Ra=1.71×106 for Ar=2: (a) U velocity variation with time at point (X=0.35,Y=0.35,Z=0.7),Ar=2; and (b) corresponding power spectrum.
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Flow behavior at Ra=1.83×106 for Ar=2: (a) U velocity variation with time at point (X=0.35,Y=0.35,Z=0.7),Ar=2; and (b) corresponding power spectrum.

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