Direct Numerical Simulation of Air Heated Cylinder Wake in Transitional State. Part II: Visualization and Mechanism of Unified 3-D Streaklines, Vortex Dislocation, and Turbulence Wreck

REFERENCES

• K. Noto , Direct Numerical Simulation of Air Heated Cylinder Wake in Transitional State. Part I: Cylinder Heating Effect on Strong Turbulence Anisotropy (STA), and Determination of STA Suppression , Numer. Heat Transfer B , vol. 66 , pp. 43 – 76 , 2014 .
   Web of Science ®Google Scholar
• K. Noto , Direct Numerical Simulation of Isothermal Wake: DNS Noise, Strong Anisotropy Turbulence and Vortex Dislocation, Generation Mechanism , Numer. Heat Transfer B , vol. 56 , pp. 167 – 189 , 2009 .
   Web of Science ®Google Scholar
• M. M. Zdrakovich , Flow around Circular Cylinder , vol.1 , Oxford University Press , Oxford , UK , 1997.
   Google Scholar
• K. Noto and K. Fujimoto , Formulation and Numerical Methodology for Three-Dimensional Wake of Heated Circular Cylinder , Numer. Heat Transfer A , vol 49 , pp. 129 – 158 , 2006 .
   Web of Science ®Google Scholar
• K. Noto and K. Fujimoto , Numerical Computation for Effect on Three-Dimensionality and Vortex Dislocation in Heated Wake with Vertical Mainstream , Numer. Heat Transfer A , vol. 51 , pp. 541 – 572 , 2007 .
   Web of Science ®Google Scholar
• C. H. K. Williamson , The Natural and Forced Formation of Spot-Like “Vortex Dislocations” in the Transition of a Wake , J. Fluid Mech. , vol. 243 , pp. 393 – 441 , 1992 .
   Web of Science ®Google Scholar
• K. Satpathy , K. Velusamy , B. S. V. Patnaik , and P. Chellapandi , Numerical Investigation of Vortex Shedding Past a Finite Circular Cylinder Mounted on a Flat Plate , Numer. Heat Transfer A , vol. 59 , pp. 882 – 909 , 2011 .
   Web of Science ®Google Scholar
• K. Noto , and H. Ishida , A Breakdown of the Karman Vortex Street due to the Natural Convection , in Proceedings of Flow Visualization III , Springer-Verlag , pp. 348 – 352 ., 1985 .
   Google Scholar
• K. Noto and R. Matsumoto , Breakdown of the Karman Vortex Street due to Natural Convection , in Numer. Methods in Thermal Problems , pp. 484 – 499 , Pineridge Press , Swansea , UK , vol. 5 , 1987 .
   Google Scholar
• K. Noto and R. Matsumoto , Breakdown of the Karman Vortex Street due to Natural Convection: Numerical Simulation , in Theoretical and Applied Mechanics , University of Tokyo Press , Tokyo , Japan , vol. 37 , pp. 83 – 94 , 1989 .
   Google Scholar
• K. Noto and T. Nakajima , Generation and Suppression of the Karman Vortex Street upon Controlling Surface Temperature of Circular Cylinder, in Proceedings of 7th International Conference on Numerical Methods in Laminar and Turbulent Flows, Pineridge Press, Swansea, UK, vol. 1, 1991, pp. 671–684.
   Google Scholar
• K. Noto and T. Miyake , Generation of the Karman Vortex Street at Low Reynolds Number due to Cooling a Cylinder: Cause and Fluid Type Effect by Numerical Computation , Numer. Heat Transfer A , vol. 40 , pp. 659 – 688 , 2001 .
   Web of Science ®Google Scholar
• K. S. Chang and J. Y. Sa , The Effect of Buoyancy on Vortex Shedding in the Near Wake of a Circular Cylinder , J. Fluid Mech. , vol. 220 , pp. 253 – 266 , 1990 .
   Web of Science ®Google Scholar
• K. Hatanaka and M. Kawahara , A Numerical Study of Vortex Shedding around a Heated/Cooled Circular Cylinder by the Three-Step Taylor Galerkin Method , Int. J. Numer. Meth. Fluids , vol. 21 , pp. 857 – 867 , 1995 .
   Web of Science ®Google Scholar
• K. Noto and S. Sugimura , Numerical Computation of a New Vortex (a Cooled Vortex Street) and Its Generation Mechanism in a Cooled Circular Cylinder Wake at Low Reynolds Number , Numer. Heat Transfer A , vol. 52 , pp. 875 – 909 , 2007 .
   Web of Science ®Google Scholar
• K. Noto , Cooled Vortex Street with Large Vortex Spirals Generated by Cooling a Circular Cylinder at Low Reynolds Number: Effects of Fluid Kinds on Wake Patterns , Numer. Heat Transfer A , vol. 53 , pp. 1054 – 1073 , 2008 .
   Web of Science ®Google Scholar
• S. Bhattacharyya and A. K. Singh , Wake Flow and Heat Transfer due to a Spherical Viscous Droplet , Numer. Heat Transfer A , vol. 57 , pp. 138 – 158 , 2010 .
   Web of Science ®Google Scholar
• J. C. Lecordier , J. Hamma , and P. Paranthoen , The Control of Vortex Shedding behind Heated Circular Cylinders at Low Reynolds Numbers , Exp. Fluids , vol. 10 , pp. 224 – 229 , 1991 .
   Web of Science ®Google Scholar
• R. N. Kieft , C. C. M. Rindt , and A. A. van Steenhoven , The Wake Behavior behind a Heated Horizontal Cylinder , Exp. Thermal Fluid Sci. , vol. 19 , pp. 183 – 193 , 1999 .
   Web of Science ®Google Scholar
• H. S. Kang and C. Meneveau , Universality of Large Eddy Simulation Model Parameters across a Turbulent Wake behind a Heated Cylinder , J. Turbulence , vol. 3 , pp. N32 , 2002 .
   Google Scholar
• E. Lamballais and J. H. Silvestrini , Direct Numerical Simulation of Interactions between a Mixing Layer and a Wake around a Cylinder , J. Turbulence , vol. 3 , pp. N28 , 2002 .
   Google Scholar
• S. C. C. Bailey , G. A. Kopp , and R. J. Martinuzzi , Vortex Shedding from a Square Cylinder near a Wall , J. Turbulence , vol. 3 , pp. N3 , 2002 .
   Google Scholar
• W. Bi and O. Wei , Scaling of Longitudinal and Transverse Structure Functions in Cylinder Wake Turbulence, J. Turbulence , vol. 4, pp. N28, 2003.
   Google Scholar
• C. K. Huang , Y. J. Cgeng , and Y. P. Kang , Combined Effect of Grid Turbulence and Unsteady Wake on Convective Heat Transfer around a Heated Cylinder , Int. Commun. Heat Mass Transfer , vol. 34 , pp. 1091 – 1100 , 2007 .
   Web of Science ®Google Scholar
• M. H. Wu and A. B. Wang , On the Transitional Wake behind a Heated Circular Cylinder , Phys. Fluids , vol. 19 , pp. 084102 , 2007 .
   Google Scholar
• S. W. Pemg and H. W. Wu , Buoyancy-Aided/Opposed Convection Heat Transfer for Unsteady Turbulent Flow across a Square Cylinder in a Vertical Channel , Int. J. Heat Mass Transfer , vol. 50 , pp. 3701 – 3717 , 2007 .
   Web of Science ®Google Scholar
• A. Dalal , V. Eswaran , and G. Biswas , A Finite-Volume Method for Navier-Stokes Equations on Unstructured Meshes , Numer. Heat Transfer B , vol. 54 , pp. 238 – 259 , 2008 .
   Web of Science ®Google Scholar
• L. Baranyi , S. Szabo , B. Bollo , and R. Bordas , Analysis of Low Reynolds Number Flow around a Heated Circular Cylinder , J. Mech. Sci. Technol. , vol. 23 , pp. 1829 – 1834 , 2009 .
   Web of Science ®Google Scholar
• L. Djenidi and R. A. Antonia , Momentum and Heat Transport in a Three-Dimensional Transitional Wake of a Heated Square Cylinder , J. Fluid Mech. , vol. 640 , pp. 109 – 129 , 2009 .
   Web of Science ®Google Scholar
• B. Cuhadaroglu and O. Turan , Numerical Simulation of Turbulent Flow around a Square Cylinder with Uniform Injection or Suction and Heat Transfer , Numerical Heat Transfer A , vol. 55 , pp. 163 – 184 , 2009 .
   Web of Science ®Google Scholar
• H. Hu and M. M. Kochesfahani , Thermal Effects on the Wake of a Heated Circular Cylinder Operating in Mixed Convection Regime , J. Fluid Mech. , vol. 685 , pp. 235 – 270 , 2011 .
   Web of Science ®Google Scholar
• S. Sarkar , A. Dalal , and G. Biswas , Unsteady Wake Dynamics and Heat Transfer in Forced and Mixed Convection past a Circular Cylinder in Cross Flow for High Prandtl Numbers , Int. J. Heat Mass Transfer , vol. 54 , pp. 3536 – 3551 , 2011 .
   Web of Science ®Google Scholar
• J. Mi , M. Xu , R. A. Antonia , and J. J. Wang , Thermal Characteristics of the Wake Shear Layers from a Slightly Heated Circular Cylinder , Exp. Fluids , vol. 50 , pp. 429 – 441 , 2011 .
   Web of Science ®Google Scholar
• L. Venema , D. Von Terzi , H. J. Baauer , and W. Rodi , DNS of Heat Transfer Increase in a Cylinder Stagnation Region due to Wake-Induced Turbulence , Int. J. Heat Fluid Flow , vol. 32 , pp. 492 – 498 , 2011 .
   Web of Science ®Google Scholar
• A. Berajeklian and L. Mydlarsski , Simultaneous Velocity-Temperature Measurements in the Heated Wake of a Cylinder with Implications for the Modeling of Turbulent Passive Scalars , Phys. Fluids , vol. 23 , pp. 055107 , 2011 .
   Google Scholar
• M. Boilaud , D. Couton , and F. Plourde , Direct Numerical Simulation of the Turbulent Wake behind a Heated Cylinder , Int. J. Heat Fluid Flow , vol. 38 , pp. 82 – 93 , 2012 .
   Web of Science ®Google Scholar
• G. L. Brown and A. Roshko , Turbulent Shear Layers and Wakes , J. Turbulence , vol. 13 , pp. N51 , 2012 .
   Google Scholar
• H. Dryden , G. B. Schubauer , G. B. Mock , and H. K. Skarmstad , Turbulent Spectra , NASA Rep. , vol. 581 , 1931 .
   Google Scholar
• G. I. Taylor , Statistical Theory of Turbulence, Parts 1–4, Proc. Roy. Soc. London, Ser. A , vol. 151 , pp. 421 – 478 , 1935 .
   Google Scholar
• A. A. Townsend , The Uniform Distortion Of Homogeneous Turbulence , Quart. J. Mech. Appl. Math. , vol. 7 , pp. 104 – 127 , 1954 .
   Web of Science ®Google Scholar
• H. J. Tucker and A. J. Reynolds , The Distortion of Turbulence by Irrotational Plane Strain , J. Fluid Mech. , vol. 32 , pp. 657 – 673 , 1968 .
   Web of Science ®Google Scholar
• S. J. Kline , W. C. Reynolds , F. A. Schraub , and P. W. Runstadler , The Structure of Turbulent Boundary Layer , J. Fluid Mech. , vol. 30 , pp. 741 – 773 , 1967 .
   Web of Science ®Google Scholar
• A. Shabbir and W. K. George , Experiments on a Round Turbulent Plume , J. Fluid Mech. , vol. 275 , pp. 1 – 32 , 1994 .
   Web of Science ®Google Scholar
• J. Kim and J. J. Jeong , Large Eddy Simulation of Turbulent Flow in a T-Junction , Numer. Heat Transfer A , vol. 61 , pp. 180 – 200 , 2012 .
   Web of Science ®Google Scholar
• B. Inhester , J. C. Ulwick , J. Cho , M. C. Kelley , and Schmidt , Consistency of Rocket and Radar Electron Density Observations: Implication about the Anisotropy of Mesospheric Turbulence, J. Atmos. Terres. Phys. , vol. 52, pp. 855–873, 1990.
   Web of Science ®Google Scholar
• C. Cambon and J. F. Scott , Linear and Nonlinear Models of Anisotropic Turbulence , Annu. Rev. Fluid Mech. , vol. 31 , pp. 1 – 53 , 1999 .
   Web of Science ®Google Scholar
• R. G-Elvia , A. Crespo , Emilio Migoya , F. Manuel , and Julio Hemandez , Anisotropy of Turbulence in Wind Turbine Wakes , J. Wind Eng. Ind. Aerodynam. , vol. 93 , pp. 797 – 814 , 2005 .
   Web of Science ®Google Scholar
• R. Escudie and A. Line , Analysis of Turbulence Anisotropy in a Mixing Tank , Chem. Eng. Sci. , vol. 61 , pp. 2771 – 2779 , 2006 .
   Web of Science ®Google Scholar
• D. C. Fritts , L. Wang , J. Werne , T. Lund , and K. Wan , Gravity Wave Instability Dynamics at High Reynolds Numbers, Part II: Turbulence Evolution, Structure, and Anisotropy , J. Atmos. Sci. , vol. 66 , pp. 1149 – 1171 , 2009 .
   Web of Science ®Google Scholar
• D. C. Fritts , L. Wang , J. Werne , T. Lund , and K. Wan , Gravity Wave Instability Dynamics at High Reynolds Numbers, Part I: Wave Field Evolution at Large Amplitudes, and High Frequencies , J. Atmos. Sci. , vol. 66 , pp. 1126 – 1148 , 2009 .
   Web of Science ®Google Scholar
• G. E. Karniadakis and G. S. Triantafyllou , Three-Dimensional Dynamics and Transition to Turbulence in the Wake of Bluff Objects , J. Fluid Mech. , vol, 238 , pp. 1 – 30 , 1992 .
   Web of Science ®Google Scholar
• H. Q. Zhang , U. Fey , B. R. Noack , M. Konig , and H. Eckelmann , On the Transition of the Cylinder Wake , Phys. Fluids , vol. 7 , pp. 779 – 794 , 1995 .
   Web of Science ®Google Scholar
• H. Persillon and M. Braza , Physical Analysis of the Transition to Turbulence in the Wake of a Circular Cylinder by Three- Dimensional Navier-Stokes Simulation , J. Fluid Mech. , vol. 365 , pp. 23 – 88 , 1998 .
   Web of Science ®Google Scholar
• J. Robichaux , S. Balachandar , and S. P. Vanka , Three-Dimensional Floquet Instability of the Wake of Square Cylinder , Phys. Fluids , vol. 11 , pp. 560 – 578 , 1999 .
   Web of Science ®Google Scholar
• S. Behara and S. Mittal , Wake Transition in Flow past a Circular Cylinder , Phys. Fluids , vol. 22 , pp. 114104 , 2010 .
   Google Scholar
• T. Akbar , G. Bouchet , and J. Dusek , Numerical Investigation on the Subcritical Effects at the Onset of Three-Dimensionality in the Circular Cylinder Wake , Phys. Fluids , vol. 23 , pp. 094103 , 2011 .
   Google Scholar
• L. H. Hu , X. Y. Zhao , W. Zhu , and F. Tang , An Experimental Investigation and Characterization on Flame Bifurcation and Leading Transition Behavior of a Pool Fire in Near Wake of a Square Cylinder , Int. J. Heat Mass Transfer , vol. 55 , pp. 7024 – 7035 , 2012 .
   Web of Science ®Google Scholar
• Z. Q. Tang and N. Jiang , Statistical Scale of Hairpin Packets in the Later Stage of Bypass Transition Induced by Cylinder Wake , Exp. Fluids , vol. 53 , pp. 345 – 351 , 2012 .
   Web of Science ®Google Scholar
• N. Hasan and R. Ali , Vortex-Shedding Suppression in Two-Dimensional Mixed Convective Flows past Circular and Square Cylinders , Phys. Fluids , vol. 25 , pp. 053603 , 2013 .
   Web of Science ®Google Scholar
• S. Galtier , S. V. Nazarenko , A. C. Newell , and A. Pouquet , Anisotopic Turbulence of Shear-Alfen Waves , Astrophys. J. , vol. 564 , pp. L49 – L52 , 2002 .
   Web of Science ®Google Scholar
• J. Cho and A. Lazarian , The Anisotropy of Electron Magnetohydrodynamic Turbulence , T. Astrophy. J. , vol. 615 , pp. L41 – L44 , 2004 .
   Web of Science ®Google Scholar
• J. C. LaRue , Detection of the Turbulent-Nonturbulent Interface in Slightly Heated Turbulent Shear Flows , Phys. Fluids , vol. 17 , pp. 1513 – 1517 , 1974 .
   Web of Science ®Google Scholar
• C. S. Subramanian and R. A. Antonia , Effect of Reynolds Number on a Slight Heated Turbulent Boundary Layer , Int. J. Heat Mass Transfer , vol. 24 , pp. 1833 – 1846 , 1981 .
   Web of Science ®Google Scholar
• N. Tombazis and P. W. Bearman , A Study of Three-Dimensional Aspects of Vortex Shedding from a Bluff Body with a Mild Geometric Disturbance , J. Fluid Mech. , vol. 330 , pp. 85 – 112 , 1997 .
   Web of Science ®Google Scholar
• K. Luo , J. Fan , W. Li , and K. Cen , Transient, Three-Dimensional Simulation of Particle Dispersion in Flows around a Circular Cylinder Re = 140–260 , Fuel , vol. 88 , pp. 1294 – 1301 , 2009 .
   Web of Science ®Google Scholar
• G. C. Ling and H. L. Zhao , Vortex Dislocations in Wake-Type Flow Induced by Spanwise Disturbances, Phys. Fluids , vol. 21, pp. 073604, 2009.
   Google Scholar
• V. D. Narasimhamurthy , H. Anderson , and B. Pettersen , Cellular Vortex Shedding behind a Tapered Circular Cylinder , Phys. Fluids , vol. 21 , pp. 044106 , 2009 .
   Web of Science ®Google Scholar
• F. Scarano and C. Poelma , Three Dimensional Vorticity Patterns of Cylinder Wakes , Exp. Fluids , vol. 47 , pp. 69 – 83 , 2009 .
   Web of Science ®Google Scholar
• S. Behara and S. Mittal , Flow past a Circular Cylinder at Low Reynolds Number: Oblique Vortex Shedding , Phys. Fluids , vol. 22 , pp. 054102 , 2010 .
   Google Scholar
• S. F. M. Razali , T. Zhou , A. Rinoshika , and L. Cheng , Wavelet Analysis of the Turbulent Wake Generated by an Inclined Circular Cylinder , J. Turbulence , vol. 11 , pp. N15 , 2010 .
   Google Scholar
• P. J. Deshpande and S. D. Sharma , Spanwise Vortex Dislocation in the Wake of Segmented Blunt Trailing Edge , J. Fluids Struct. , vol. 34 , pp. 202 – 217 , 2012 .
   Web of Science ®Google Scholar
• C. H. K. Williamson , Vortex Dynamics in the Cylinder Wake , Ann. Rev. Fluid Mech. , vol. 28 , pp. 477 – 539 , 1996 .
   Web of Science ®Google Scholar
• K. Noto and M. Honda , Coherent Motion of Turbulent Thermal Plume in Stably Stratified Fluid , Fluid Dynamics Res. , vol. 3 , pp. 415 – 421 , 1988 .
   Google Scholar
• K. Noto , Dependence of Heat Island Phenomena of Stable Stratification and Heat Quantity in a Calm Environment , Atmos. Environ. , vol. 30 , pp. 475 – 485 , 1996 .
   Web of Science ®Google Scholar
• K. Noto and Y. Meguro , Thermal Plume Turbulent Enhancement, Reverse Transition, and Relaminarization in Stably Stratified Enclosure , AIAA J. Thermophys. Transfer , vol. 15 , pp. 55 – 63 , 2001 .
   Web of Science ®Google Scholar
• C. A. J. Fletcher , Computational Techniques for Fluid Dynamics , vol. 2 , Springer-Verlag , Berlin , pp. 46 – 77 , 1988 .
   Google Scholar
• K. Noto and K. Nakai , Direct Numerical Simulation of Turbulent Thermal Plume in Stably Stratified Ambient: Formulation, Numerical Methodology, Reverse Transition, Relaminarization, and Turbulent Enhancement , Numer. Heat Transfer B , vol. 53 , pp. 313 – 357 , 2008 .
   Web of Science ®Google Scholar
• H. Q. Zhang , U. Fey , B. R. Noack , M. Konig , and H. Eckelmann , On the Transition of the Cylinder Wake , Phys. Fluids , vol. 7 , pp. 779 – 794 , 1995 .
   Web of Science ®Google Scholar
• M. Braza , D. Faghani , and H. Persillon , Successive Stages and the Role of Natural Vortex Dislocation in Three-Dimensional Wake Transition , J. Fluid Mech. , vol. 439 , pp. 1 – 41 , 2001 .
   Web of Science ®Google Scholar
• A. K. Saha , G. Biswas , and K. Muralidhar , Three-Dimensional Study of Flow past a Square Cylinder at Low Reynolds Numbers , Int. J. Heat Fluid Flow , vol. 24 , pp. 54 – 66 , 2003 .
   Web of Science ®Google Scholar
• Z. M. Lin , L. B. Wang , J. F. Fan , and Q. F. Gao , Characteristics of the Absolute Vorticity Flux along the Main Flow Direction on the Cross Section of the Channel Formed by Oval Tube Bank Fins , Numer. Heat Transfer A , vol. 57 , pp. 666 – 690 , 2010 .
   Web of Science ®Google Scholar
• K. Noto and K. Teramoto , Spectra and Critical Grashof Numbers for Turbulent Transition in a Thermal Plume , AIAA J. Thermophys. Heat Transfer , vol. 13 , pp. 82 – 90 , 1999 .
   Web of Science ®Google Scholar