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Numerical simulation of flow past a heated/cooled sphere

  • Ryoichi Kurose (a1), Mamiko Anami (a1), Akitoshi Fujita (a1) and Satoru Komori (a1)
Abstract
Abstract

The characteristics of flow past a heated/cooled sphere are investigated for particle Reynolds numbers in conditions with and without buoyancy by means of three-dimensional numerical simulation in which temperature dependence of fluid properties such as density and viscosity is exactly taken into account. The results show that in the absence of buoyancy, drag coefficients of the heated and cooled spheres are larger and smaller than those of the adiabatic case, respectively, and their Nusselt numbers are smaller and larger than the values estimated by a widely used empirical expression for predicting Nusselt numbers, respectively. In addition, the temperature difference between the sphere and ambient fluid strongly affects the flow separation points, size of vortex ring behind the sphere and Strouhal number for vortex shedding. These changes are attributed to the temperature dependence of fluid properties in the vicinity of the sphere. Even in the presence of buoyancy, the temperature dependence of fluid properties strongly affects the drag coefficient and Nusselt number and therefore the Boussinesq approximation becomes inapplicable as the temperature difference increases, regardless of the magnitude of the Richardson number.

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Email address for correspondence: kurose@mech.kyoto-u.ac.jp
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

2. P. Bagchi & K. Kottam 2008 Effect of free stream isotropic turbulence on heat transfer from a sphere. Phys. Fluids 20, 073305.

3. K. V. Beard & H. R. Pruppacher 1971 A wind tunnel investigation of the rate of evapouration of small water drops falling at terminal velocity in air. J. Atmos. Sci. 28, 14551464.

4. H. Choi , W.-P. Jeon & J. Kim 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113139.

6. G. S. Constantinescu & K. D. Squires 2003 LES and DES investigations of turbulent flow over a sphere at $\mathit{Re}= 10\hspace{0.167em} 000$. Flow Turbul. Combust. 70, 267298.

9. M. Kotouč , G. Bouchet & J. Dušek 2009 Drag and flow reversal in mixed convection past a heated sphere. Phys. Fluids 21, 054104.

12. R. Kurose , H. Makino , S. Komori , M. Nakamura , F. Akamatsu & M. Katsuki 2003 Effects of outflow from surface of sphere on drag, shear lift, and scalar diffusion. Phys. Fluids 15, 23382351.

13. S. Mansoorzadeh , C. C. Pain , C. R. E. De Oliveira & A. J. H. Goddard 1998 Finite element simulations of incompressible flow past a heated/cooled sphere. Intl J. Numer. Maths 28, 903915.

14. M. Nakamura , F. Akamatsu , R. Kurose & M. Katsuki 2005 Combustion mechanism of liquid fuel spray in gaseous flame. Phys. Fluids 17, 123301.

18. S. Taneda 1956 Experimental investigation of the wake behind a sphere at low Reynolds numbers. J. Phys. Soc. Japan 11, 11041108.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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