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Torque-coupling and particle–turbulence interactions

Published online by Cambridge University Press:  28 February 2012

Helge I. Andersson*
Affiliation:
Department of Energy and Process Engineering, The Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
Lihao Zhao
Affiliation:
Department of Energy and Process Engineering, The Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
Mustafa Barri
Affiliation:
Department of Energy and Process Engineering, The Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
*
Email address for correspondence: helge.i.andersson@ntnu.no

Abstract

A novel scheme for strong coupling between inertial Lagrangian point particles and a continuous Eulerian fluid phase has been developed. A full mechanical coupling can only be achieved if torque-coupling is applied along with the more conventional force-coupling. The torque vector acting from the particles on the fluid is expressed in terms of a new antisymmetric particle stress tensor which adds to the Stokes stress tensor. A strongly-coupled simulation of a turbulent channel flow laden with prolate spheroidal particles with aspect ratio 5:1 demonstrated that the inclusion of torque-coupling reduced the modulation of the turbulent flow field observed in a two-way force-coupled simulation. The spin and orientation of the spheroids were significantly affected.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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References

1. Balachandar, S. & Eaton, J. K. 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111133.CrossRefGoogle Scholar
2. Brenner, H. 1964 The Stokes resistance of an arbitrary particle IV. Arbitrary fields of flow. Chem. Engng Sci. 19, 703727.CrossRefGoogle Scholar
3. Eaton, J. K. 2009 Two-way coupled turbulence simulations of gas-particle flows using point-particle tracking. Intl J. Multiphase Flow 35, 792800.CrossRefGoogle Scholar
4. Eringen, A. C. 1966 Theory of micropolar fluids. J. Math. Mech. 16, 118.Google Scholar
5. Harper, E. Y. & Chang, I.-D. 1968 Maximum dissipation resulting from lift in a slow viscous shear flow. J. Fluid Mech. 33, 209225.CrossRefGoogle Scholar
6. Irgens, F. 2008 Continuum Mechanics. Springer.Google Scholar
7. Jeffery, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102, 161179.Google Scholar
8. Lucci, F., Ferrante, A. & Elghobashi, S. 2010 Modulation of isotropic turbulence by particles of Taylor-length scale size. J. Fluid Mech. 650, 555.CrossRefGoogle Scholar
9. Łukaszewicz, G. 1999 Micropolar Fluids - Theory and Applications. Birkhäuser.CrossRefGoogle Scholar
10. Marchioli, C., Fantoni, M. & Soldati, A. 2010 Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow. Phys. Fluids 22, 033301.CrossRefGoogle Scholar
11. Mortensen, P. H., Andersson, H. I., Gillissen, J. J. J. & Boersma, B. J. 2008 Dynamics of prolate ellipsoidal particles in a turbulent channel flow. Phys. Fluids 20, 093302.CrossRefGoogle Scholar
12. Squires, K. D. & Eaton, J. K. 1990 Particle response and turbulence modification in isotropic turbulence. Phys. Fluids A 2, 11911203.CrossRefGoogle Scholar
13. Uhlmann, M. 2008 Interface-resolved direct numerical simulation of vertical particulate channel flow in the turbulent regime. Phys. Fluids 20, 053305.CrossRefGoogle Scholar
14. Zhang, H., Ahmadi, G., Fan, F. G. & McLaughlin, J. B. 2001 Ellipsoidal particles transport and deposition in turbulent channel flows. Intl J. Multiphase Flow 27, 9711009.CrossRefGoogle Scholar
15. Zhao, L. H., Andersson, H. I. & Gillissen, J. J. J. 2010 Turbulence modulation and drag reduction by spherical particles. Phys. Fluids 22, 081702.CrossRefGoogle Scholar
16. Zhao, L. H. & Andersson, H. I. 2011 On particle spin in two-way coupled turbulent channel flow simulations. Phys. Fluids 23, 093302.CrossRefGoogle Scholar