REFERENCES
- W. E. Ranz and W. R. Marshall , Evoparation from Drops—I, and II , Chem. Eng. Prog. , vol. 48 , pp. 141 – 146 and 173–180 , 1952 .
- A. Acrivos and T. D. Taylor , Heat and Mass Transfer from Single Spheres in Stokes Flow , Phys. Fluids , vol. 5 , pp. 387 – 394 , 1962 .
- P. L. Rimmer , Heat Transfer from a Sphere in a Stream of Small Reynolds Number , J. Fluid Mech. , vol. 32 , pp. 1 – 7 , 1968 .
- S. C. R. Dennis , J. D. Hudson , and N. Smith , Steady Laminar Forced Convection from a Circular Cylinder at Low Reynolds Numbers , Phys. Fluids , vol. 11 , pp. 933 – 940 , 1968 .
- S. Whitaker , Forced Convection Heat Transfer Correlations for Flow in Pipes, Past Flat Plates, Single Spheres, and for Flow in Packed Beds and Tube Bundles, AIChE. J , vol. 18, pp. 361–371, 1972.
- S. C. R. Dennis , J. D. A. Walker , and J. D. Hudson , Heat Transfer from a Sphere at Low Reynolds Numbers , J. Fluid Mech. , vol. 40 , pp. 273 – 283 , 1973 .
- R. Clift , J. R. Grace , and M. E. Weber , Bubbles, Drops and Particles , Academic Press , New York , 1978 .
- A. Acrivos , A Note on the Rate of Heat or Mass Transfer from a Small Particle Freely Suspended in Linear Shear Field , J. Fluid Mech. , vol. 98 , pp. 299 – 304 , 1980 .
- B. A. Finlayson and J. W. Olson , Heat Transfer to Spheres at Low to Intermediate Reynolds Numbers , Chem. Eng. Comm. , vol. 58 , pp. 431 – 447 , 1987 .
- S. Paik , H. D. Nguyen , and J. N. Chung , A Spectral Method for Unsteady Flow and Heat Transfer Past a Spherical Droplet: Primitive Variable Formulation , Comp. Fluid Dyn. , vol. 3 , pp. 171 – 192 , 1994 .
- Z. G. Feng and E. E. Michaelides , A Numerical Study on the Transient Heat Transfer from a Sphere at High Reynolds and Peclet Numbers , Int. J. Heat Mass Transfer , vol. 43 , pp. 219 – 229 , 2000 .
- S. Balachandara and M. Y. Ha , Unsteady Heat Transfer from a Sphee in a Uniform Cross-Flow , Phys. Fluids , vol. 13 , pp. 3714 – 3728 , 2001 .
- W. Yuemin , and A. J. Milind , Vriable Property, Steady, Axisymmetric, Laminar, Continuum Plasma Flow Over Spheroidal Particles , Int. J. Heat and Fluid Flow , vol. 26 , pp. 780 – 791 , 2005 .
- B. Prosenjit and K. Kirit , Effect of Freestream Isotropic Turbulence on Heat Transfer from a Sphere , Phys. Fluids , vol. 20 , p. 073305 , 2008 .
- J. A. Glazier , T. Segawa , A. Naert , and M. Sano , Evidence Against Ultrahard Thermal Turbulence at Very High Rayleigh Numbers, Nature , (London) , vol. 398 , pp. 307 – 310 , 1999 .
- J. J. Niemela , L. Skrbek , K. R. Sreenivasan , and R. J. Donnelly , Turbulent Convection at Very High Rayleigh Numbers , Nature , vol. 404 , pp. 837 – 840 , 2000 .
- P. E. Roche , B. Castaing , B. Chabaud , and B. Hebral , Observation of the 1/2 Power Law in Rayleigh-Benard Convection , Phys. Rev. E , vol. 63 , p. 045303 (R) , 2001 .
- S. Grossmann and D. Lohse , Thermal Convection for Large Prandtl Numbers , Phys. Rev. Lett. , vol. 86 , pp. 3316 – 3319 , 2001 .
- D. Lohse and F. Toschi , Ultimate State of Thermal Convection , Phys. Rev. Lett , vol. 90 , p. 034502 , 2003 .
- J. H. Boynton , Experimental Study of an Ablating Sphere with Hydromagnetic Effect Included , J. Aerosp. Sci. , vol. 27 , pp. 306 , 1960 .
- N. Uda , A. Miyazawa , S. Inoue , N. Yamaoka , H. Horiike , and K. Miyazaki , Forced Convection Heat Transfer and Temperature Fluctuations of Lithium under Transverse Magnetic Fields , J. Nuc. Sci. Tech. , vol. 38 , pp. 936 – 943 , 2001 .
- T. Yokomine , J. Takeuchi , H. Nakaharai , S. Satake , T. Kunugi , N. B. Morley , and M. A. Abdou , Experimental Investigation of Turbulent Heat Transfer of High Prandtl Number Fluid Flow under Strong Magnetic Field , Fusion Sci. Tech. , vol. 52 , pp. 625 – 629 , 2007 .
- S. Kenjeres , Electromagnetic Enhancement of Turbulent Heat Transfer , Phys. Rev. E , vol. 78 , p. 066309 , 2008 .
- S. N. Bhattacharyya , Scaling in Magnetohydrodynamic Convection at High Rayleigh Number , Phys. Rev. E , vol. 74 , p. 035301 , 2006 .
- M. Battira and R. Bessaih , Three-Dimensional Natural Convection in the Horizontal Bridgman Configuration under Various Wall Electrical Conductivity and Magnetic Field , Numer. Heat Transfer A , vol. 55 , pp. 58 – 76 , 2009 .
- R. Bessaih and S. Bouabdallah , Numerical Study of Oscillatory Natural Convection during Solidification of a Liquid Metal in a Rectangular Enclosure with and Without Magnetic Field, Numer. Heat Transfer A , vol. 54, pp. 331–348, 2008.
- G. Sposito and M. Ciofalo , Fully Developed Mixed Magnetohydrodynamic Convection in a Vertical Square Duct , Numer. Heat Transfer A , vol. 53 , pp. 907 – 924 , 2008 .
- L. Kolsi , A. Abidi , M. N. Borjini , N. Daous , and H. B. Aissia , Effect of an External Magnetic Field on the 3-D Unsteady Natural Convection in a Cubical Enclosure , Numer. Heat Transfer A , vol. 51 , pp. 1003 – 1021 , 2007 .
- I. E. Sarris , G. K. Zikos , A. P. Grecos , and N. S. Viachos , On the Limits of Validity of the Low Magnetic Reynolds Number Approximation in MHD Natural Convection Heat Transfer , Numer. Heat Transfer B , vol. 50 , pp. 157 – 180 , 2006 .
- J. C. Kalita , D. C. Dalal , and A. K. Dass , Fully Compact Higher-Order Computation of Steady-State Natural Convection in a Square Cavity , Phys. Rev. E. , vol. 60 , p. 066703 , 2001 .
- Y. V. S. S. Sanyasiraju and V. Manjula , Flow Past an Impulsively Started Circular Cylinder using a Higher-Order Semicompact Scheme , Phys. Rev. E. , vol. 72 , p. 016709 , 2005 .
- U. Ghia , K. N. Ghia , and K. N. Shin , High Re Solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
- M. C. Thompson and J. H. Ferziger , An Adaptive Multigrid Technique for the Incompressible Navier Stokes Equations , J. Comput. Phys , vol. 82 , pp. 94 – 121 , 1989 .
- N. G. Wright and P. H. Gaskell , An Efficient Multigrid Approach to Solving Highly Recirculating Flows , Computers & Fluids , vol. 24 , pp. 63 – 79 , 1995 .
- G. H. Juncu , Conjugate Heat/Mass Transfer from a Circular Cylinder with an Internal Heat/Mass Source in Laminar Crossflow at Low Reynolds Numbers , Int. J. Heat Mass Transfer , vol. 48 , pp. 419 – 424 , 2005 .
- T. V. S. Sekhar , R. Sivakumar , T. V. R. Ravi Kumar , and K. Subbarayudu , High Reynolds Number Incompressible MHD Flow under Low R m Approximation , Int. J. Nonlin. Mech. , vol. 43 , pp. 231 – 240 , 2008 .
- I. Atlas and K. Burrage , A High Accuracy Defect-Correction Multigrid Method for the Steady Incompressible Navier-Stokes Equations , J. Comput. Phys. , vol. 114 , pp. 227 – 233 , 1994 .
- S. Karaa and J. Zhang , Convergence and Performance of Iterative Methods for Solving Variable Coefficient Convection-Diffusion Equation with a Fourth Order Compact Difference Scheme , Computers & Math. Appns. , vol. 44 , pp. 457 – 479 , 2002 .
- J. Zhang , Numerical Simulation of 2 D Square Driven Cavity using Fourth-Order Compact Finite Difference Schemes , Computers & Math. Appns. , vol. 45 , pp. 43 – 52 , 2003 .
- T. V. S. Sekhar , R. Sivakumar , and T. V. R. Ravi Kumar , Magnetohydrodynamic Flow around a Sphere , Fluid Dyn. Res. , vol. 37 , pp. 357 – 373 , 2005 .
- L. Baranyi , Computation of Unsteady Momentum and Heat Transfer from a Fixed Circular Cylinder in Laminar Flow , J. Computational and Applied Mechanics , vol. 4 , pp. 13 – 25 , 2003 .
- T. K. Aldoss , Y. D. Ali , and M. A. Al-Nimr , MHD Mixed Convection from a Horizontal Cylinder , Numer. Heat Transfer A , vol. 30 , pp. 379 – 396 , 1996 .
- Y. C. Won , K. Kakimoto , and H. Ozoe , Transient Three-Dimensional Flow Characteristics of Si Melt in a czochralski Configuration under a Cusp Shaped Magnetic Field , Numer. Heat Transfer A , vol. 36 , pp. 551 – 561 , 1999 .
- H. Sadrhosseini and I. Sezai , Effect of Magnetic Field on Radial Dopant Segregation in Crystal Growth , Numer. Heat Transfer A , vol. 57 , pp. 954 – 974 , 2010 .
- V. N. Kurdyumov and E. Fernandez , Heat Transfer from a Circular Cylinder at Low Reynolds Numbers , ASME J. Heat Transfer , vol. 120 , pp. 72 – 75 , 1998 .
- G. Mutschke , G. Gerbeth , V. Shatrov , and A. Tomboulides , The Scenario of Three-Dimensional Instabilities of the Cylinder Wake in an External Magnetic Field: A Linear Stability Analysis, Phys. Fluids , vol. 13, pp. 723–734, 2001.
- M. Akamatsu , M. Higano , and H. Ozoe , Convectional Mode and Electrical Field in Silicon Melts Under Vertical, Horizontal, and Rotating Magnetic Fields , Numer. Heat Transfer A , vol. 42 , pp. 33 – 54 , 2002 .
- H. Yu , N. Li , and R. E. Ecke , Scaling in Natural Convection in Laterally Heated Cavities: Is Turbulence Essential in the Classical Scaling of Heat Transfer? , Phys. Rev. E. , vol. 76 , p. 026303 , 2007 .