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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 58, 2010 - Issue 12
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Original Articles

Numerical Study of High Gradient Thermobuoyant Flow in a Tilted Cavity Using a Novel Non-Boussinesq Algorithm

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Pages 984-1003 | Received 22 Jul 2010, Accepted 08 Sep 2010, Published online: 06 Dec 2010

REFERENCES

  • M. Darbandi and G. E. Schneider , Thermobuoyancy Treatment for Electronic Packaging using an Improved Advection Scheme , ASME J. Electron. Packaging , vol. 125 , pp. 244 – 250 , 2003 .
  • P. O. Iwanik and W. K. S. Chiu , Temperature Distribution of an Optical Fiber Traversing Through a Chemical Vapor Deposition Reactor , Numer. Heat Transfer A , vol. 43 , pp. 221 – 237 , 2003 .
  • K. O. Lim , K. S. Lee , and T. H. Song , Primary and Secondary Instabilities in a Glass-Melting Surface , Numer. Heat Transfer A , vol. 36 , pp. 309 – 325 , 1999 .
  • S. Singh and M. A. R. Sharif , Mixed Convective Cooling of a Rectangular Cavity with Inlet and Exit Openings on Differentially Heated Side Walls , Numer. Heat Transfer A , vol. 44 , pp. 233 – 253 , 2003 .
  • M. Ohta , M. Akiyoshi , and E. Obata , A Numerical Study on Natural Convective Heat Transfer of Pseudoplastic Fluids in a Square Cavity , Numer. Heat Transfer A , vol. 41 , pp. 357 – 372 , 2002 .
  • M. Lamsaadi , M. Naimi , M. Hasnaoui , and M. Mamou , Natural Convection in a Vertical Rectangular Cavity Filled with a Non-Newtonian Power Law Fluid and Subjected to a Horizontal Temperature Gradient, Numer. Heat Transfer A , vol. 49, pp. 969–990, 2006.
  • A. J. Chamkha , Hydromagnetic Combined Convective Flow in a Vertical Lid-Driven Cavity with Internal Heat Generation or Absorption , Numer. Heat Transfer A , vol. 41 , pp. 529 – 546 , 2002 .
  • Y. Y. Yan , H. B. Zhang , and J. B. Hull , Numerical Modeling of Electrohydrodynamic (EHD) Effect on Natural Convection in an Enclosure , Numer. Heat Transfer A , vol. 46 , pp. 453 – 471 , 2004 .
  • K. T. Yang , Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures , J. Heat Transfer , vol. 110 , 1191 – 1204 , 1988 .
  • J. E. Hart , Stability of the Flow in a Differentially Heated Inclined Box , J. Fluid Mech. , vol. 47 , pp. 547 – 576 , 1971 .
  • J. H. Bae , J. M. Hyun , and H. S. Kwak , Buoyant Convection in a Cavity with a Baffle under Time-Periodic Wall Temperature , Numer. Heat Transfer A , vol. 39 , pp. 723 – 736 , 2001 .
  • M. Darbandi , S. F. Hosseinizadeh , M. Saadat , and P. Farzinpour , Effect of Partition Wall on Natural Convection in Enclosures with High Temperature Gradients, The Second International Conference on Thermal Engineering Theory and Applications, Al Ain, UAE, January 3–6, pp. 1–5, 2006 .
  • A. Ben-Nakhi and A. J. Chamkha , Effect of Length and Inclination of a Thin Fin on Natural Convection in a Square Enclosure , Numer. Heat Transfer A , vol. 50 , pp. 389 – 407 , 2006 .
  • R. A. Kuyper , Th. H. Vandermeer , C. J. Hoogendoorn , and R. A. W. M. Henkes , Numerical Study of Laminar and Turbulent Natural Convection in an Inclined Square Cavity , Int. J. Heat Mass Transfer , vol. 36 , pp. 2899 – 2911 , 1993 .
  • D. C. Lo , D. L. Young , K. Murugesan , C. C. Tsai , and M. H. Gou , Velocity–Vorticity Formulation for 3-D Natural Convection in an Inclined Cavity by DQ Method , Int. J. Heat Mass Transfer , vol. 50 , pp. 479 – 491 , 2007 .
  • M. Rahman and M. A. R. Sharif , Numerical Study of Laminar Natural Convection in Inclined Rectangular Enclosures of Various Aspect Ratios , Numer. Heat Transfer A , vol. 44 , pp. 355 – 373 , 2003 .
  • E. V. Kalabin , 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 .
  • B. Ghasemi and S. M. Aminossadati , Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid , Numer. Heat Transfer A , vol. 55 , pp. 807 – 823 , 2009 .
  • N. B. Cheikh , A. J. Chamkha , and B. B. Beya , Effect of Inclination on Heat Transfer, and Fluid Flow in a Finned Enclosure Filled with a Dielectric Liquid , Numer. Heat Transfer A , vol. 56 , pp. 286 – 300 , 2009 .
  • M. A. Randriazanamparany , A. Skouta , and M. Daguenet , Numerical Study of the Transition Toward Chaos of Two-Dimensional Natural Convection within a Square Cavity , Numer. Heat Transfer A , vol. 48 , pp. 127 – 147 , 2005 .
  • T. M. Shih and A. L. Ren , Combined Convective and Radiative Recirculating Flows in Enclosures , Numer. Heat Transfer, Part A , vol. 8 , pp. 149 – 167 , 1985 .
  • C. Y. Han and S. W. Baek , The Effects of Radiation on Natural Convection in a Rectangular Enclosure Divided by Two Partitions , Numer. Heat Transfer A , vol. 37 , pp. 249 – 270 , 2000 .
  • B. Mondal and S. C. Mishra , Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method, Numer. Heat Transfer A , vol. 5, pp. 18–41, 2009.
  • Y. K. Hong , S. W. Baek , and M. Y. Kim , Inverse Natural Convection Problem with Radiation in Rectangular Enclosure , Numer. Heat Transfer A , vol. 57 , pp. 315 – 330 , 2010 .
  • 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 .
  • D. S. Kumar , K. Murugesan , and H. R. Thomas , Numerical Simulation of Double Diffusive Mixed Convection in a Lid-Driven Square Cavity using Velocity-Vorticity Formulation , Numer. Heat Transfer A , vol. 54 , pp. 837 – 865 , 2008 .
  • A. Khadiri , A. Amahmid , M. Hasnaoui , and A. Rtibi , Soret Effect on Double-Diffusive Convection in a Square Porous Cavity Heated and Salted from Below , Numer. Heat Transfer A , vol. 57 , pp. 848 – 868 , 2010 .
  • S. Meftah , A. Ibrahim , D. Lemonnier , and A. Benbrik , Coupled Radiation and Double Diffusive Convection in Nongray Air-CO2 and Air-H2O Mixtures in Cooperating Situations , Numer. Heat Transfer A , vol. 56 , pp. 1 – 19 , 2009 .
  • 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 .
  • N. H. Saeid and Y. Yaacob , Natural Convection in a Square Cavity with Spatial Side-Wall Temperature Variation , Numer. Heat Transfer A , vol. 49 , pp. 683 – 697 , 2006 .
  • C. H. Cheng and K. S. Hung , Numerical Predictions of Thermal Convection in a Rectangular Enclosure with Oscillating Wall , Numer. Heat Transfer A , vol. 48 , pp. 791 – 809 , 2005 .
  • Y. Yamaguchi and Y. Asako , Effect of Partition Wall on Natural Convection Heat Transfer in a Vertical Layer , J. Heat Transfer , vol. 123 , pp. 441 – 449 , 2001 .
  • H. Paillère , P. Le Quéré , C. Weisman , J. Vierendeels , E. Dick , M. Braack , F. Dabbene , A. Beccantini , E. Studer , T. Kloczko , C. Corre , V. Heuveline , M. Darbandi , and S. F. Hosseinizadeh , Modelling of Natural Convection Flows with Large Temperature Differences: A Benchmark Problem for Low Mach Number Solvers. Part 2. Contributions , ESAIM: Math. Model. Numer. Analysis , vol. 39 , pp. 617 – 621 , 2005 .
  • D. R. Chenoweth and S. Paolucci , Natural Convection in an Enclosed Vertical Air Layer with Large Horizontal Temperature Differences , J. Fluid Mech. , vol. 169 , pp. 173 – 210 , 1986 .
  • K. S. Hung and C. H. Cheng , Pressure Effects on Natural Convection for Non-Boussinesq Fluid in a Rectangular Enclosure , Numer. Heat Transfer A , vol. 41 , pp. 515 – 528 , 2002 .
  • S. A. Suslov and S. Paolucci , Stability of Natural Convection Flow in a Tall Vertical Enclosure under Non-Boussinesq Conditions , Int. J. Heat Mass Transfer , vol. 38 , pp. 2143 – 2157 , 1995 .
  • M. Darbandi and G. E. Schnieder , Application of an All-Speed Flow Algorithm to Heat Transfer Problems , Numer. Heat Transfer A , vol. 35 , no. 7 , pp. 695 – 715 , 1999 .
  • M. Darbandi and S. F. Hosseinizadeh , A General Strategy to Include Density Variation in Incompressible Algorithms , J. Thermophysics Heat Transfer , vol. 39 , pp. 372 – 380 , 2003 .
  • H. K. Versteeg and W. Malalasekera , An Introduction to Computational Fluid Dynamics, The Finite Volume Method , pp. 135 – 146 , Longman , Malaysia , 1995 .
  • M. Darbandi and S. F. Hosseinizadeh , Remarks on Numerical Prediction of Wall-Shear-Stress in Entry Flow Problems , Commun. Num. Meth. Eng. , vol. 20 , pp. 619 – 625 , 2004 .
  • M. Darbandi and S. F. Hosseinizadeh , A Two-Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows , J. Aerospace Sci. Technol. , vol. 2 , pp. 37 – 44 , 2005 .
  • M. Darbandi and S. F. Hosseinizadeh , Numerical Simulation of Thermobuoyant Flow with Large Temperature Variation, J. Thermophys. Heat Transfer , vol. 20, pp. 285–296, 2006.
  • M. Darbandi and S. F. Hosseinizadeh , Numerical Study of Natural Convection in Vertical Enclosures using a Novel Non-Boussinesq Algorithm , Numerical Heat Transfer A , vol. 52 , pp. 849 – 873 , 2007 .
  • Y. Horibata , Numerical Simulation of a Low-Mach-Number Flow with a Large Temperature Variation , Comput. & Fluids , vol. 21 , pp. 185 – 200 , 1992 .
  • D. Mukutmoni and K. T. Yang , Flow transitions and Pattern Selection of the Rayleigh–Benard Problem in Rectangular Enclosures , Sadhana—Academy Proceedings in Engineering Sciences , vol. 19 , pp. 649 – 670 , 1994 .
  • F. J. Hamady , J. R. Lloyd , H. Q. Yang , and K. T. Yang , Study of Local Natural Convection Heat Transfer in an Inclined Enclosure , Int. J. Heat Mass Transfer , vol. 32 , pp. 1697 – 1708 , 1989 .
  • A. Bairi , Nusselt–Rayleigh Correlations for Design of Industrial Elements: Experimental and Numerical Investigation of Natural Convection in Tilted Square Air Filled Enclosures , Energ. Convers. Management , vol. 49 , pp. 771 – 782 , 2008 .

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