Numerical Study of Sphere Drag Coefficient in Turbulent Flow at Low Reynolds Number

REFERENCES

• A. Fage , Experiments on a Sphere at Critical Reynolds Numbers , Great Britain, Aeronautical Research Council, Reports and Memoranda , no. 1766 , 1937 .
   Google Scholar
• S. Taneda , Experimental Investigation of the Wake behind a Sphere at Low Reynolds Numbers , J. Phys. Soc. Japan , vol. 11 , pp. 1104 – 1108 , 1965 . [CSA]
   Google Scholar
• F. W. Roos and W. W. Willmarth , Some Experimental Results on Sphere and Disk Drag , AIAA J. , vol. 9 , pp. 285 – 291 , 1971 . [CSA]
   Google Scholar
• E. Achenbach , Experiments on the Flow Past Spheres at Very High Reynolds Numbers , J. Fluid Mech. , vol. 54 , pp. 565 – 575 , 1972 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• E. Achenbach , Vortex Shedding from Sphere , J. Fluid Mech. , vol. 62 , pp. 209 – 221 , 1974 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• E. Achenbach , The Effect of Surface Roughness and Tunnel Blockage on the Flow Past Spheres , J. Fluid Mech. , vol. 65 , pp. 113 – 125 , 1974 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• S. Taneda , Visual Observations of the Flow Past a Sphere at Reynolds Number between 104 and 106 , J. Fluid Mech. , vol. 85 , pp. 187 – 192 , 1978 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• G. K. Suryanarayana and G. E. A. Meier , Effect of Ventilation on the Flow Field Around a Sphere , Exp. Fluids , vol. 19 , pp. 78 – 88 , 1995 . [CSA]
   Web of Science ®Google Scholar
• T. A. Johnson , Numerical and Experimental Investigation of Flow Past a Sphere up to a Reynolds Nmber of 300 , Ph.D. dissertation , University of Iowa , Ames , IA , 1996 .
   Google Scholar
• T. A. Johnson and V. C. Patel , Flow Past a Sphere up to a Reynolds Number of 300 , J. Fluid Mech. , vol. 378 , pp. 19 – 70 , 1999 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• S. G. Constantinescu and K. D. Squires , LES and DES Investigations of Turbulent Flow over a Sphere at Re = 100,000 , Flow Turbulence Combustion , vol. 70 , pp. 267 – 298 , 2003 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• S. G. Constantinescu , M. C. Chapelet , and K. D. Squires , Turbulence Modeling Applied to Flow over a Sphere, AIAA J. , vol. 41, pp. 1733–1743, 2003. [CSA]
   Google Scholar
• S. G. Constantinescu and K. D. Squires , Numerical Investigation of the Flow Over a Sphere in the Subcritical and Supercritical Regimes , Phys. Fluids , vol. 16 , pp. 1449 – 1467 , 2004 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• P. Uhlherr and C. Sinclair , The Effect of Free-Stream Turbulence on the Drag Coefficient of Freely Entrained Spheres , Chemeca' 70, 1 (A Conference Convened by the Austrian National Committee of the Institution of Chemical Engineers and the Australian Academy of Science) , 1970 . [CSA]
   Google Scholar
• T. J. Anderson and P. H. T. Uhlherr , The Influence of Stream Turbulence on the Drag Coefficient Spheres , Preprints of Papers at the Sixth Australian Hydraulics and Fluid Mechanics Conference , Australia , Institute of Engineers , 1977 .
   Google Scholar
• N. Zarin and J. Nicholls , Sphere Drag in Solid Rockets—Non-continuum and Turbulence Effects , Combustion Sci. Technol. , vol. 3 , pp. 273 – 285 , 1971 . [CSA]
   Web of Science ®Google Scholar
• W. D. Warnica , M. Renksizbulut , and A. B. Strong , Drag Coefficients of Spherical Liquid Droplets, Part 1: Quiescent Gaseous Fields , Exp. Fluids , vol. 18 , pp. 258 – 264 , 1995 . [CSA]
   Web of Science ®Google Scholar
• W. D. Warnica , M. Renksizbulut , and A. B. Strong , Drag Coefficients of Spherical Liquid Droplets, Part 2: Turbulent Gaseous Fields , Exp. Fluids , vol. 18 , pp. 265 – 276 , 1995 . [CSA]
   Web of Science ®Google Scholar
• S. L. Lee , Particle Drag in a Dilute Turbulent Two-Phase Suspension Flow , Int. J. Multiphase Flow , vol. 13 , pp. 247 – 256 , 1987 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• R. S. Neve and T. Shansonga , The Effects of Turbulence Characteristics on Sphere Drag , Int. J. Heat Fluid Flow , vol. 4 , pp. 318 – 321 , 1989 . [CSA] [CROSSREF]
   Google Scholar
• R. Clift , J. R. Grace , and M. E. Weber , Bubbles, Drops and Particles , Academic Press , New York , 1978 .
   Google Scholar
• H. Schlichting , Boundary Layer Theory, th ed. , 7 , McGraw-Hill , New York , 1979 .
   Google Scholar
• P. Bagchi and S. Balachandar , Effect of Turbulence on the Drag and Lift of a Particle , Phys. Fluids , vol. 5 , pp. 3496 – 3513 , 2003 . [CSA] [CROSSREF]
   Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , DC , 1980 .
   Google Scholar
• S. V. Patankar , A Numerical method for Conduction in Composite Materials, Flow in Irregular Geometries and Conjugate Heat Transfer , in Proc. 6th Int. Heat Transfer Conf. , Toronto , Canada , 1978 , vol. 3 , pp. 297 –302.
   Google Scholar
• J. C. Chai , H. S. Lee , and S. V. Patankar , Treatment of Irregular Geometries Using a Cartesian-Coordinates-Based Discrete-Ordinates-Method, Radiative Heat Transfer: Theory and applications , ASME-HTD , Vol. 244 , New York , 1993 . [CSA]
   Google Scholar
• P. J. Coelho , J. Goncalves , M. G. Carvalho , and D. N. Trinic , Modelling Radiative Heat Transfer in Enclosures with Obstacles , Int. J. Heat Mass Transfer , vol. 41 , pp. 745 – 756 , 1998 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• M. Y. Kim , S. W. Wook , and J. H. Park , Unstructured Finite-Volume Method for Radiative Heat Transfer in a Complex Two-Dimensional Geometry with Obstacles , Numer. Heat Transfer B , vol. 39 , pp. 617 – 635 , 2001 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• D. Y. Byung , S. W. Baek , and M. Y. Kim , Prediction of Radiative Heat Transfer in a 2-D Enclosure with Blocked-Off, Multiblock, and Embedded Boundary Treatments , Numer. Heat Transfer A , vol. 43 , pp. 807 – 825 , 2003 . [CSA]
   Web of Science ®Google Scholar
• D. Y. Byung , S. W. Baek , and M. Y. Kim , Investigation of Radiative Heat Transfer in Complex Geometries using Blocked-off, Multiblock, and Embedded Boundary Treatments , ASME Heat Transfer Div. , vol. 366 , pp. 119 – 126 , 2000 . [CSA]
   Google Scholar
• M. N. Borjini , H. Farahat , and M. S. Radhouani , Analysis of Radiative Heat Transfer in a Partitioned Idealized Furnace , Numer. Heat Transfer A , vol. 44 , pp. 199 – 218 , 2003 . [CSA]
   Web of Science ®Google Scholar
• J. L. Consalvi and J. C. Lraud , Method for Computing the Interaction of Fire Environment and Internal Solid Boundaries , Numer. Heat Transfer A , vol. 43 , pp. 777 – 805 , 2003 . [CSA]
   Web of Science ®Google Scholar
• J. Zhou and J. Liu , Numerical Study on 3-D Light and Heat Transport in Biological Tissues Embedded with Large Blood Vessels during Laser-Induced Thermotherapy, Numer. Heat Transfer A , vol. 45, pp. 415–449, 2004. [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• B. E. Launder and B. E. Sharma , Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc , Lett. Heat Mass Transfer , vol. 1 , pp. 247 – 256 , 1974 . [CSA]
   Google Scholar
• W. P. Jones and B. E. Launder , The Calculation of Low-Reynolds-Number Phenomena with a Two-Equation Model of Turbulence , Int. J. Heat Mass Transfer , vol. 16 , pp. 1119 – 1130 , 1973 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• D. C. Wilcox , Reassessment of the Scale-Determining Equation for Advanced Turbulence Models , AIAA J. , vol. 26 , pp. 1299 – 1310 , 1988 . [CSA]
   Google Scholar
• F. R. Menter , Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications , AIAA J. , vol. 32 , pp. 1598 – 1605 , 1994 . [CSA]
   Web of Science ®Google Scholar
• A. N. Kolmogorov , The Equations of Turbulent Motion in an Incompressible Fluid , Izvestia Acad. Sci., USSR, Phys. , vol. 6 , pp. 56 – 58 , 1942 . [CSA]
   Google Scholar
• J. P. Vandoormall and G. D. Ratithby , Enhancement of the SIMPLE Method for Predicting Incompressible Fluid Flows , Numer. Heat Transfer , vol. 7 , pp. 147 – 163 , 1984 . [CSA]
   Google Scholar
• H. J. Leister and M. Peric , Vectorized Strongly Implicit Solving Procedure for Seven-Diagonal Coefficient Matrix , Int. J. Heat Fluid Flow , vol. 4 , pp. 159 – 171 , 1994 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• L. D. Karel , Recent Experience with Different Turbulence Models Applied to the Calculation of Flow Over Aircraft Components , Prog. Aerospace Sci. , vol. 34 , pp. 481 – 541 , 1998 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• J.-K. Park , Droplet Evaporation in Turbulent Flow, Ph.D. thesis, University of Wisconsin—Madison , 1987 .
   Google Scholar
• T. Sundararajan and P. S. Ayyaswamy , Hydrodynamics and Heat Transfer Associated with Condensation on a Moving Drop: Solution of Intermediate Reynolds Number , J. Fluid Mech. , vol. 149 , pp. 33 – 58 , 1984 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar