Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 58, 2010 - Issue 1
111
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Resonant Thermal Convections in a Square Cavity Induced by Heat-Flux Vibration on the Bottom Wall

, , , &
Pages 20-40 | Received 12 Nov 2009, Accepted 26 Mar 2010, Published online: 21 Jul 2010

REFERENCES

  • Q. Xia , K. T. Yang , and D. Mukutmoni , Effect of Imposed Wall Temperature Oscillations on the Stability of Natural Convection in a Square Enclosure , ASME J. Heat Transfer , vol. 117 , pp. 113 – 120 , 1995 .
  • H. S. Kwak and J. M. Hyun , Natural Convection in an Enclosure Having a Vertical Sidewall with Time-Varying Temperature , J. Fluid Mech. , vol. 329 , pp. 65 – 88 , 1996 .
  • H. S. Kwak , K. Kuwahara , and J. M. Hyun , Resonant Enhancement of Natural Convection Heat Transfer in a Square Enclosure , Int. J. Heat Mass Transfer , vol. 41 , pp. 2837 – 2846 , 1998 .
  • G. B. Kim , J. M. Hyun , and H. S. Kwak , Enclosed Buoyant Convection with Internal Heat Generation under Oscillating Sidewall Temperature , ASME J. Heat Transfer , vol. 124 , pp. 577 – 580 , 2002 .
  • G. B. Kim , J. M. Hyun , and H. S. Kwak , Enclosed Buoyant Convection of a Variable-Viscosity Fluid under Time-Periodic Thermal Forcing, Numer. Heat Transfer A , vol. 43, pp. 137–154, 2003.
  • S. K. Kim , S. Y. Kim , and Y. D. Choi , Amplification of Boundary Layer Instability by Hot Wall Thermal Oscillation in a Side Heated Cavity , Phys. Fluids , vol. 17 , p. 014103 , 2005 .
  • J. L. Lage and A. Bejan , The Resonance of Natural Convection in an Enclosure Heated Periodically from the Side , Int. J. Heat Mass Transfer , vol. 36 , pp. 2027 – 2038 , 1993 .
  • B. V. Antohe and J. L. Lage , Amplitude Effect on Convection Induced by Time-Periodic Horizontal Heating , Int. J. Heat Mass Transfer , vol. 39 , pp. 1121 – 1133 , 1996 .
  • B. V. Antohe and J. L. Lage , The Prandtl Number Effect on the Optimum Heating Frequency of an Enclosure Filled with Fluid or with a Saturated Porous Medium , Int. J. Heat Mass Transfer , vol. 40 , pp. 1313 – 1323 , 1997 .
  • S. Matsumura , H. Ishida , and H. Kimoto H , Internal Gravity Wave Resonance of Thermal Convection Fields in a Square Cavity with Heat-Flux Vibration , Heat Transfer—Asian Res. , vol. 35 , pp. 309 – 322 , 2006 .
  • S. Matsumura , H. Ishida , K. Momose , and G. Kawahara , Internal Gravity Wave Resonance of Thermal Convection Fields in Rectangular Cavities with Heat-Flux Vibration (Effects of Aspect Ratio on the Fields) , Heat Transfer—Asian Res. , vol. 36 , pp. 158 – 171 , 2007 .
  • G. Venezian , Effect of Modulation on the Onset of Thermal Convection , J. Fluid Mech. , vol. 35 , pp. 243 – 254 , 1969 .
  • C. Y. Soong , P. Y. Tzeng , and C. D. Hsieh , Numerical Study of Bottom-Wall Temperature Modulation Effects on Thermal Instability and Oscillatory Cellular Convection in a Rectangular Enclosure , Int. J. Heat Mass Transfer , vol. 44 , pp. 3855 – 3868 , 2001 .
  • J. Mantle , M. Kazmierczak , and B. Hiawy , The Effect of Temperature Modulation on Natural Convection in a Horizontal Layer Heated from Below: High-Rayleigh-Number Experiments , ASME J. Heat Transfer , vol. 116 , pp. 614 – 620 , 1994 .
  • E. K. Lakhal , M. Hasnaoui , P. Vasseur , and E. Bilgen , Natural Convection in a Square Enclosure Heated Periodically from Part of the Bottom Wall , Numer. Heat Transfer A , vol. 27 , pp. 319 – 333 , 1994 .
  • Q.-W. Wang , G. Wang , M. Zeng , and H. Ozoe , Upward Heat Flux through the Horizontal Fluid Layer of Water with Sinusoidal Wall Temperature at the Top or Bottom Boundary , Numer. Heat Transfer A , vol. 52 , pp. 817 – 829 , 2007 .
  • Q.-W. Wang , G. Wang , M. Zeng , and H. Ozoe , Unidirectional Heat Flux through the Horizontal Fluid Layer with Sinusoidal Wall Temperature at the Top or Bottom Boundaries , Int. J. Heat Mass Transfer , vol. 51 , pp. 1675 – 1682 , 2008 .
  • E. V. Klabin , M. V. Kanashina , and P. T. Zubkov , Natural-Convective Heat Transfer in a Square Cavity with Time-Varying Side-Wall Temperature , Numer. Heat Transfer A , vol. 47 , pp. 621 – 631 , 2005 .
  • E. V. Klabin , M. V. Kanashina , and P. T. Zubkov , Heat Transfer from the Cold Wall of a Square Cavity to the Hot One by Oscillatory Natural Convection , Numeri. Heat Transfer A , vol. 47 , pp. 609 – 619 , 2005 .
  • H. Ishida and H. Kimoto H , Vibration Effects on the Average Heat Transfer Characteristics of the Natural Convection Field in a Square Enclosure , Heat Transfer—Asian Res. , vol. 29 , pp. 545 – 558 , 2000 .
  • H. Ishida and H. Kimoto , The Structure of Attractors Reconstructed with Time-Evolution Data of Average Heat Transfer on Thermal Convection Field in a Vibrating Square Enclosure , Heat Transfer—Asian Res. , vol. 30 , pp. 11 – 21 , 2001 .
  • C.-S. Yih , Gravity Waves in a Stratified Fluid, J. Fluid Mech. , vol. 8, pp. 481–508, 1959.
  • S. A. Thorpe , On Standing Internal Gravity Waves of Finite Amplitude , J. Fluid Mech. , vol. 32 , pp. 489 – 528 , 1968 .
  • S. Paolucci and D. R. Chenoweth , Transition to Chaos in a Differentially Heated Vertical Cavity , J. Fluid Mech. , vol. 201 , pp. 379 – 410 , 1989 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.