A numerical study of turbulent mixed convection in an enclosure with heated rectangular elements

References

• Spiegel , E. A. 1971 . Convection in stars, I. Basic Boussinesq convection . Ann. Rev. Astronomy and Astrophys. , 9 : 323 – 352 .
   Web of Science ®Google Scholar
• Stevens , B. 2005 . Atmospheric moist convection . Annu. Rev. Earth Planetary Sci. , 33 : 605 – 643 .
   Web of Science ®Google Scholar
• Bercovici , D. 2003 . The generation of plate tectonics from mantle convection . Earth Planet. Sci. Lett. , 205 : 107 – 122 .
   Web of Science ®Google Scholar
• Schmeling , D. , Westhoff , A. , Kühn , M. , Bosbach , J. and Wagner , C. 2011 . Large-scale flow structures and heat transport of turbulent forced and mixed convection in a closed rectangular cavity . Int. J. Heat Fluid Flow , 32 : 889 – 900 .
   Web of Science ®Google Scholar
• Westhoff , A. , Bosbach , J. , Schmeling , D. and Wagner , C. 2010 . Experimental study of low-frequency oscillations and large-scale circulations in turbulent mixed convection . Int. J. Heat Fluid Flow , 31 : 794 – 804 .
   Web of Science ®Google Scholar
• Fitzgerald , S. D. and Woods , A. W. 2007 . Transient natural ventilation of a room with a distributed heat source . J. Fluid Mech. , 591 : 21 – 42 .
   Web of Science ®Google Scholar
• Gladstone , C. and Woods , A. W. 2001 . On buoyancy-driven natural ventilation of a room with a heated floor . J. Fluid Mech. , 441 : 293 – 314 .
   Web of Science ®Google Scholar
• Linden , P. F. 1999 . The fluid mechanics of natural ventilation . Annu. Rev. Fluid Mech. , 31 : 201 – 238 .
   Web of Science ®Google Scholar
• Bosbach , J. , Pennecot , J. , Wagner , C. , Raffel , M. , Lerche , T. and Repp , S. 2006 . Experimental and numerical simulation of turbulent ventilation in aircraft cabin . Energy , 31 : 694 – 705 .
   Web of Science ®Google Scholar
• Kühn , M. , Bosbach , J. and Wagner , C. 2009 . Experimental parametric study of forced and mixed convection in a passenger aircraft cabin mock-up . Build. Environ. , 44 : 961 – 970 .
   Web of Science ®Google Scholar
• Ehrhard , P. 2001 . Laminar mixed convection in two-dimensional far wakes above heated/cooled bodies: Model and experiments . J. Fluid Mech. , 439 : 165 – 198 .
   Web of Science ®Google Scholar
• Costa , J. J. , Oliveira , L. A. and Blay , D. 1999 . Test of several versions for the k−ε type turbulence modelling of internal mixed convection flows . Int. J. Heat Mass Transf. , 42 : 4391 – 4409 .
   Web of Science ®Google Scholar
• Blay , D. , Mergui , S. and Niculae , C. 1992 . Confined turbulent mixed convection in the presence of a horizontal buoyant wall jet . Fundam. Mix. Convec. , 213 : 65 – 72 .
   Google Scholar
• Kenjeres , S. , Gunarjo , S. B. and Hanjalic , K. 2005 . Contribution to elliptic relaxation modelling of turbulent natural and mixed convection . Int. J. Heat Fluid Flow , 26 : 569 – 586 .
   Web of Science ®Google Scholar
• Nielsen , P. V. , Restivo , A. and Whitelaw , J. H. 1979 . Buoyancy-affected flows in ventilated rooms . Numer. Heat Transf. , 2 : 115 – 127 .
   Google Scholar
• Lin , C.-H. , Wu , T. T. , Horstman , R. H. , Lebbin , P. A. , Hosni , M. H. , Jones , B. W. and Beck , B. T. 2006 . Comparison of large eddy simulation predictions with particle image velocimetry data for airflow in a generic cabin model . HVAC&R Res. , 12 : 935 – 951 .
   Web of Science ®Google Scholar
• Schmitt , L. , Richter , K. and Friedrich , R. 1986 . “ Large-eddy simulation of turbulent boundary layer and channel flow at high Reynolds number ” . In Direct and Large Eddy Simulation of Turbulence , Edited by: Schumann , U. and Friedrich , R. 161 – 176 . Braunschweig : Vieweg .
   Google Scholar
• Shishkina , O. and Wagner , C. 2005 . A fourth order accurate finite volume scheme for numerical simulations of turbulent Rayleigh–Bénard convection . C. R. Mecanique , 333 : 17 – 28 .
   Web of Science ®Google Scholar
• Shishkina , O. V. 2007 . The Neumann stability of high-order symmetric schemes for convection–diffusion problems . Siberian Math. J. , 48 : 1141 – 1146 .
   Web of Science ®Google Scholar
• Shishkina , O. and Wagner , C. 2007 . A fourth order finite volume scheme for turbulent flow simulations in cylindrical domains . Comput. Fluids , 36 : 484 – 497 .
   Web of Science ®Google Scholar
• Kaczorowski , M. , Shishkin , A. , Shishkina , O. and Wagner , C. 2008 . “ Development of a numerical procedure for direct simulations of turbulent convection in a closed rectangular cell ” . In New Results in Numerical and Experimental Fluid Mechanics VI: Notes on Numerical Fluid Mechanics and Multidisciplinary Design , Edited by: 96 , Vol , Hirschel , E. H. , Tropea , C. , Jakirlic , S. , Heinemann , H.-J. , Henke , R. and Hoenlinger , H. 381 – 388 . New York : Springer-Verlag .
   Google Scholar
• Shishkina , O. , Shishkin , A. and Wagner , C. 2009 . Simulation of turbulent thermal convection in complicated domains . J. Comput. Appl. Maths , 226 : 336 – 344 .
   Web of Science ®Google Scholar
• Grötzbach , G. 1983 . Spatial resolution requirements for direct numerical simulation of Rayleigh-Bénard convection . J. Comput. Phys. , 49 : 241 – 264 .
   Web of Science ®Google Scholar
• Ahlers , G. , Grossmann , S. and Lohse , D. 2009 . Heat transfer and large-scale dynamics in turbulent Rayleigh–Bénard convection . Rev. Mod. Phys. , 81 : 503 – 537 .
   Web of Science ®Google Scholar
• Castaing , B. , Gunaratne , G. , Heslot , F. , Kadanoff , L. , Libchaber , A. , Thomae , S. , Wu , X. Z. , Zaleski , S. and Zanetti , G. 1989 . Scaling of hard thermal turbulence in Rayleigh–Bénard convection . J. Fluid Mech. , 204 : 1 – 30 .
   Web of Science ®Google Scholar
• Grossmann , S. and Lohse , D. 2000 . Scaling in thermal convection: A unifying theory . J. Fluid Mech. , 407 : 27 – 56 .
   Web of Science ®Google Scholar
• Lohse , D. and Xia , K.-Q. 2010 . Small-scale properties of turbulent Rayleigh–Bénard convection . Annu. Rev. Fluid Mech. , 42 : 335 – 364 .
   Web of Science ®Google Scholar
• Siggia , E. D. 1994 . High Rayleigh number convection . Ann. Rev. Fluid Mech. , 26 : 137 – 168 .
   Web of Science ®Google Scholar
• Niemela , J. J. , Skrbek , L. , Donnely , K.R. and Sreenivasan , R.J. 2000 . Turbulent convection at very high Rayleigh numbers . Nature , 404 : 837 – 841 .
   PubMed Web of Science ®Google Scholar
• Shishkina , O. and Wagner , C. 2011 . Modelling the wall roughness influence on the heat transfer in thermal convection . J. Fluid Mech. , 686 : 568 – 582 .
   Web of Science ®Google Scholar
• Emran , M. S. and Schumacher , J. 2008 . Fine-scale statistics of temperature and its derivatives in convective turbulence . J. Fluid Mech. , 611 : 13 – 34 .
   Web of Science ®Google Scholar
• Kaczorowski , M. , Shishkina , O. , Shishkin , A. , Wagner , C. and Xia , K.-Q. 2011 . “ Analysis of the large-scale circulation and the boundary layers in turbulent Rayleigh–Bénard convection ” . In Direct and Large-Eddy Simulation VIII , Edited by: Kuerten , H. , Geurts , B. , Armenio , V. and Fröhlich , J. 383 – 388 . New York : Springer .
   Google Scholar
• Stevens , R.J.A.M. , Verzicco , R. and Lohse , D. 2010 . Radial boundary layer structure and Nusselt number in Rayleigh–Bénard convection . J. Fluid Mech. , 643 : 495 – 507 .
   Web of Science ®Google Scholar
• Verzicco , R. and Camussi , R. 2003 . Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell . J. Fluid Mech. , 477 : 19 – 49 .
   Web of Science ®Google Scholar
• Shishkina , O. , Stevens , R.J.A.M. , Grossmann , S. and Lohse , D. 2010 . Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution . New J. Phys. , 12 : 075022
   Web of Science ®Google Scholar
• Balaji , C. , Hölling , M. and Herwig , H. 2007 . A general methodology for treating mixed convection problems using asymptotic computational fluid dynamics (ACFD) . Int. Commun. Heat Mass Transf. , 34 : 682 – 691 .
   Web of Science ®Google Scholar