Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 7
150
Views
24
CrossRef citations to date
0
Altmetric
Original Articles

NUMERICAL STUDY OF TURBULENT NATURAL CONVECTION IN A SIDE-HEATED SQUARE CAVITYAT VARIOUS ANGLES OF INCLINATION

&
Pages 693-716 | Published online: 02 Feb 2011

References

  • Patel , V. C. , Rodi , W and Scheuerer , G. 1984 . Models for Near-Wall and Low Reynolds Number Flows: A Review . AIAA J. , 23 : 1308 – 1319 .
  • Speziale , C. G. , Abid , R. and Anderson , E. C. 1992 . Critical Evaluation of Two-Equation Models for Near-Wall Turbulence . AIAA J. , 30 : 324 – 331 .
  • Henkes , R. A. W. M. and Hoogendoorn , C. J. 1989 . Comparison of Turbulence Models for the Natural Convection Boundary Layer along a Heated Vertical Plate . Int. J. Heat Mass Transfer , 32 : 157 – 169 .
  • Peng , S. H. , Davidson , L. and Holmberg , S. 1997 . A Modified Low-Reynolds Number k-? Model for Recirculating Flows . J. Fluids Eng. , 119 : 867 – 875 .
  • Ferziger , J. H. and Peric , M. 1999 . Computational Methods for Fluid Dynamics , 2d , New York : Springer-Verlag .
  • Stone , H. L. 1968 . Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations . SIAM J. Numer. Anal. , 5 : 530 – 558 .
  • Incropera , F. P. and DeWitt , D. P. 1990 . Fundamentals of Heat and Mass Transfer , 3d , 539 New York : Wiley .
  • Paolucci , S. and Chenoweth , D. R. 1989 . Transition to Chaos in a Differentially Heated Vertical Cavity . J. Fluid Mech. , 201 : 379 – 410 .
  • Henkes , R. A. W. M. and Le Quere , P. 1996 . Three-Dimensional Transition of Natural-Convection Flows . J. Fluid Mech. , 319 : 281 – 303 .
  • Davidson , L. 1990 . Calculation of the Turbulent Buoyancy-Driven Flow in a Rectangular Cavity Using an Efficient Solver and Two Different Low Reynolds Number k-e Model . Numer. Heat Transfer , 18 : 129 – 147 .
  • Davidson , L. 1990 . Second-Order Corrections of the k-e Model to Account for Non-Isotropic Effects Due to Buoyancy . Int. J. Heat Mass Transfer , 33 : 2599 – 2608 .
  • Heindel , T. J. , Ramadhyani , S. and Incropera , F. P. 1994 . Assessment of Turbulence Models for Natural Convection in an Enclosure . Numer. Heat Transfer B , 26 : 147 – 172 .
  • Henkes , R. A. W. M. , van Der Vlugt , F. F. and Hoogendoorn , C. J. 1991 . Natural-Convection Flow in a Square Cavity Calculated with Low-Reynolds-Number Turbulence Models . Int. J. Heat Mass Transfer , 34 : 377 – 388 .
  • Henkes , R. A. W. M. and Hoogendoorn , C. J. 1995 . Comparison Exercise for Computations of Turbulent Natural Convection in Enclosures . Numer. Heat Transfer B , 28 : 59 – 78 .
  • Liu , F. and Wen , J. X. 1999 . Development and Validation of an Advanced Turbulence model for Buoyancy Driven Flows in Enclosures . Int. J. Heat Mass Transfer , 42 : 3967 – 3981 .
  • Wilcox , D. C. 1994 . Simulation of Transition with a Two-Equation Turbulence Model . AIAA J. , 32 : 247 – 254 .
  • Peng , S.-H. , Davidson , L. and Holmberg , S. 1997 . A Modified Low-Reynolds-Number k-? Model for Recirculating Flows . ASME J. Fluids Eng. , 119 : 867 – 875 .
  • Peng , S.-H. and Davidson , L. 1999 . Computation of Turbulent Buoyant Flows in Enclosures with Low-Reynolds-Number k-? Models . Int. J. Heat Mass Transfer , 20 : 172 – 184 .
  • Dol , H. S. and Hanjalic , K. 2001 . Computational Study of Turbulent Natural Convection in a Side-Heated Near-Cubic Enclosure at a High Rayleigh Number . Int. J. Heat Mass Transfer , 44 : 2323 – 2344 .
  • Bowels , A. and Cheesewright , R. 1989 . Direct Measurement of the Turbulent Heat Flux in a Large Rectangular Air Cavity . Exp. Heat Transfer , 2 : 59 – 69 .
  • Tian , Y. S. , Karayiannis , T. G. , Matthews , R. D. and Wen , J. X . Reynolds Stresses in Low Turbulence Natural Convection in Air Filled Square Cavity, Proc. Eleventh Int. Heat Transfer Conf., Kyongju, Korea, J. S. Lee & R. M. Cotta (eds.), 1998
  • Dol , H. S. , Opstelten , I. J. and Hanjalic , K. Turbulent Natural Convection in a Side-Heated Near Cubic Enclosure: Experiments and Model Computations, Technical Report APTF R/00-02, Thermal and Fluid Science Section, Department of Applied Physics, Delft University of Technology, Delft, The Netherlands, 2000
  • Ince , N. Z. and Launder , B. E. 1989 . On the Computation of Buoyancy-Driven Turbulent Flows in Rectangular Enclosures . Int. J. Heat Fluid Flow , 10 : 110 – 117 .
  • Hanjalic , K. and Vasic , S. 1993 . Computation of Turbulent Natural Convection in Rectangular Enclosures with an Algebraic Flux Model . Int. J. Heat Mass Transfer , 36 : 3603 – 3624 .
  • DoI , H. S. , Hanjalic , K. and Kenjeres , S. 1997 . A Comparative Assessment of the Second-Moment Differential and Algebraic Models in Turbulent Natural Convection . Int. J. Heat Fluid Flow , 18 : 4 – 14 .
  • Hanjalic , K. Achievements and Limitations in Modeling and Computation of Buoyant Turbulent Flows and Heat Transfer, Special Keynote Lecture, in G. F. Hewitt (ed.), Proc. 10th Int. Heat Transfer Conf., vol. 1, pp. 1-18, Institute of Chemical Engineering, Brighton, UK, Taylor & Francis, London, UK, 1994
  • Hanjalic , K. , Kenjeres , S. and Durst , F. 1996 . Natural Convection in Partitioned Two-Dimensional Enclosures at Higher Rayleigh Numbers . Int. J. Heat Mass Transfer , 39 : 1407 – 1427 .
  • Kenjeres , S. and Hanjalic , K. 1995 . Prediction of Turbulent Thermal Convection in Concentric and Eccentric Horizontal Annuli . Int. J. Heat Fluid Flow , 16 : 429 – 439 .
  • Lam , C. K. G. and Bremhorst , K. 1981 . A Modified Form of the k-e Model for Predicting Wall Turbulence . J. Fluids Eng. , 103 : 456 – 460 .
  • Hanjalic , K. 2002 . One-Point Closure Models for Buoyancy Driven Turbulent Flows . Anna. Rev. of Fluid Mech. , 34 : 321 – 47 .
  • Peeters , T. W. J. and Henkes , R. A. W. M. 1992 . The Reynolds Stress Model of Turbulence Applied to the Natural-Convection Boundary Layer along a Heated Vertical Plate . Int. J. Heat Mass Transfer , 35 : 403 – 420 .
  • Bergstorm , D. J. and Huang , X. 1997 . “ LES of Buoyant Cavity Flow: Challenge for Subgrid Scale Models ” . In Proc. Second Int. Symp. on Turbulence, Heat and Mass Transfer , Edited by: Hanjalic , K. and Peeters , T. W. J. 421 – 430 . The Netherlands : Delft University Press, Delft .
  • Cheesewright , R. , King , K. J. and Ziai , S. 1986 . “ Experimental Data for the Validation of Computer Codes for the Prediction of Two-Dimensional Buoyant Cavity Flows ” . In Significant Questions in Buoyancy Affected Enclosure or Cavity Flows , Edited by: Humphrey , J. A. C. , Avedisian , C. T. , Tourneau , B. W. Le and Chen , M. M. 75 – 81 . ASME : HTD-60 .
  • Giel , P. W. and Schmidt , F. W. 1986 . “ An Experimental Study of High Rayleigh Number Natural Convection in an Enclosure ” . In Proceedings of the Eighth International Heat Transfer Conference , Edited by: Tien , C. L. , Carey , V. P. and Ferrell , J. K. 1459 – 1464 . San Francisco : California .

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.