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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 67, 2015 - Issue 1
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Original Articles

Natural Convection Heat Transfer in a Cubic Cavity Submitted to Time-Periodic Sidewall Temperature

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Pages 13-32 | Received 29 Sep 2012, Accepted 25 Mar 2013, Published online: 20 Oct 2014

REFERENCES

  • J. Patterson and J. Imberger , Unsteady Natural Convection in a Rectangular Cavity , J. Fluid Mech. , vol. 100 , pp. 65 – 86 , 1980 .
  • G. N. Ivey , Experiments on Transient Natural Convection in a Cavity , J. Fluid Mech. , vol. 144 , pp. 389 – 401 , 1984 .
  • P. Vasseur and L. Robillard , Natural Convection in a Rectangular Cavity with Wall Temperature Decreasing at a Uniform Rate , Wärme- und Stoffübertragung , vol. 16 , pp. 199 – 207 , 1982 .
  • M. Kazmierczak and Z. Chinoda , Buoyancy-Driven Flow in an Enclosure with Time Periodic Boundary Conditions , Int. J. Heat Mass Transfer , vol. 35 , pp. 1507 – 1518 , 1992 .
  • 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 .
  • E. V. Kalabin , 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 , Numer. Heat Transfer A. , vol. 47 , pp. 609 – 619 , 2005 .
  • B. Abourida , M. Hasnaoui , and S. Douamna , Transient Natural Convection in a Square Enclosure with Horizontal Walls Submitted to Periodic Temperatures , Numer. Heat Transfer A , vol. 36 , pp. 737 – 750 , 1999 .
  • A. Raji , M. Hasnaoui , M. Firdaouss , and C. Ouardi , Natural Convection Heat Transfer Enhancement in a Square Cavity Periodically Cooled from Above , Numer. Heat Transfer A , vol. 63 , pp. 511 – 533 , 2013 .
  • N. B. Cheikh , B. B. Beya , and T. Lili , Aspect Ratio Effect on Natural Convection Flow in a Cavity Submitted to a Periodical Temperature Boundary , Trans. ASME, J. Heat Transfer , vol. 129 , pp. 1060 – 1068 , 2007 .
  • N. Nithyadevi , P. Kandaswamy , and S. M. Sundari , Magnetoconvection in a Square Cavity with Partially Active Vertical Walls: Time Periodic Boundary Condition, Int. J. Heat Mass Transfer , vol. 52, pp. 1945–1953, 2009.
  • R. E. Ayachi , A. Raji , M. Hasnaoui , and A. Bahlaoui , Combined Effect of Radiation and Natural Convection in a Square Cavity Differentially Heated with a Periodic Temperature , Numer. Heat Transfer A , vol. 53 , pp. 1339 – 1356 , 2008 .
  • B. Ghasemi and S. M. Aminossadati , Periodic Natural Convection in a Nanofluid-Filled Enclosure with Oscillating Heat Flux , Int. J. Thermal Sci. , vol. 49 , pp. 1 – 9 , 2010 .
  • W. Zhang , C. H. Zhang , and G. Xi , Conjugate Conduction-Natural Convection in an Enclosure with Time-periodic Sidewall Temperature and Inclination , Int. J. Heat Fluid Flow , vol. 32 , pp. 52 – 64 , 2011 .
  • S. -K. Choi , S. -O. Kim , T. -H. Lee , Y. -I. Kim , and D. Hahn , Computation of Turbulent Natural Convection in a Rectangular Cavity with the Lattice Boltzmann Mehtod , Numer. Heat Transfer B , vol. 61 , pp. 492 – 504 , 2012 .
  • H. Sajjadi , M. Gorji , G. H. R. Kefayati , and D. D. Ganji , Lattice Boltzmann Simulation of Turbulent Natural Convection in Tall Enclosure using Cu/Water Nanofluid , Numer. Heat Transfer A , vol. 62 , pp. 512 – 530 , 2012 .
  • E. Ebrahimnia-Bajestan , H. Niazmand , V. Etminan-Farooji , and E. Ebrahimnia , Numerical Modeling of the Freezing of a Porous Humid Food inside a Cavity due to Natural Convection , Numer. Heat Transfer A , vol. 62 , pp. 250 – 269 , 2012 .
  • E. Tric , G. Labrosse , and M. Betrouni , A First Incursion into the 3D Structure of Natural Convection of Air in a Differentially Heated Cubic Cavity, from Accurate Numerical Solutions , Int. J. Heat Mass Transfer , vol. 43 , pp. 4043 – 4056 , 2000 .
  • W. Zhang , Z. Huang , C. H. Zhang , and G. Xi , Conjugate Wall Conduction-Fluid Natural Convection in a Three-Dimensional Inclined Enclosure , Numer. Heat Transfer A , vol. 61 , pp. 122 – 141 , 2012 .
  • B. Anne , V. Bennett , and J. Hsueh , Natural Conveciton in a Cubic Cavity: Implicit Numerical Solution of Two Benchmark Problems , Numer. Heat Transfer A , vol. 50 , pp. 99 – 123 , 2006 .
  • S. Wakashima and T. S. Saitoh , Benchmark Solutions for Natural Convection in a Cubic Cavity using the High-Order Time-space Method , Int. J. Heat Mass Transfer , vol. 47 , pp. 853 – 864 , 2004 .
  • D. C. Lo , D. L. Young , and K. Murugesan , GDQ Method for Natural Convection in a Cubic Cavity Using Velocity-Vorticity Formulation , Numer. Heat Transfer B , vol. 48 , pp. 363 – 386 , 2005 .
  • D. C. Lo , D. L. Young , K. Murugesan , C. C. Tsai , and M. H. Gou , Velocity-Vorticity Formulation for 3D Natural Convection in an Inclined Cavity by DQ Method , Int. J. Heat Mass Transfer , vol. 50 , pp. 479 – 491 , 2007 .
  • R. J. A. Janssen , R. A. W. M. Henkes , and C. J. Hoogendoorn , Transition to Time-Periodicity of a Natural-Convection Flow in a 3D Differentially Heated Cavity , Int. J. Heat Mass Transfer , vol. 36 , pp. 2927 – 2940 , 1993 .
  • B. B. Beya and T. Lili , Transient Natural Convection in 3D Tilted Enclosure Heated from Two Opposite Sides , Int. Comm. Heat Mass Transfer , vol. 36 , pp. 604 – 613 , 2009 .
  • M. Salinas-Vázquez , W. Vicente , E. Martínez , and E. Barrios , Large Eddy Simulation of a Confined Square Cavity with Natural Convection Based on Compressible Flow Equations , Int. J. Heat Mass Transfer , vol. 32 , pp. 876 – 888 , 2011 .
  • Q. W. Wang , J. Yang , M. Zeng , and G. Wang , Three-Dimensional Numerical Study of Natural Convection in an Inclined Porous Cavity with Time Sinusoidal Oscillating Boundary Conditions , Int. J. Heat Fluid Flow , vol. 31 , pp. 70 – 82 , 2010 .
  • W. Zhang , G. Xi , C. H. Zhang , and Z. Huang , A High-Accuracy Temporal-Spatial Pseudospectral Method for Time-Periodic Unsteady Fluid Flow and Heat Transfer Problems, Int. J. Computational Fluid Dynamics , vol. 25, pp. 191–206, 2011.
  • C. H. Zhang , W. Zhang , and G. Xi , A Pseudospectral Multidomain Method for Conjugate Conduction-Convection in Enclosures , Numer. Heat Transfer B , vol. 57 , pp. 260 – 282 , 2010 .
  • W. Zhang , C. H. Zhang , and G. Xi , An Explicit Chebyshev Pseudospectral Multigird Method for Imcompressible Navier-Stokes Equations , Comput. Fluids , vol. 39 , pp. 178 – 188 , 2010 .
  • R. Peyret , Spectral Methods for Imcompressible Viscous Flow , pp. 93 – 98 , pp. 269 – 274 , pp. 395 , Springer , New York , 2002 .
  • A. K. Gopinath , Efficient Fourier-Based Algorithms for Time-Periodic Unsteady Problems, Ph.D. thesis, Stanford University, Stanford, California, 2007.
  • A. Jameson , Time Dependent Calculations using Multigrid, with Applications to Unsteady Flows Past Airfoils and Wings, AIAA paper 91-1596, AIAA 10th Computational Fluid Dynamics Conference, June 24–26, Honolulu, HI, 1991.
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.

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