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Collisional Granular Flows with and Without Gas Interactions in Microgravity

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Book cover Mechanics of the 21st Century

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Abstract

We illustrate the convenience of a long-lasting microgravity environment to study flows of granular materials with and without gas interaction. We consider collisional granular flows of nearly elastic identical spheres in an axisymmetric Couette channel featuring two cylindrical moving bumpy boundaries and two flat walls. We review governing equations for these flows, illustrate their solutions and compare them with numerical simulations.

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References

  1. J.T. Jenkins and M.W. Richman, Grad’s 13-moment system for a dense gas of inelastic spheres, Arch. Rat. Mech. Anal., Vol.87, pp.355–377, 1985.

    Article  MathSciNet  Google Scholar 

  2. J.T. Jenkins and F. Mancini, Kinetic theory for binary mixtures of smooth, nearly elastic spheres, Phys. Fluids A, Vol.1, pp.2050–2057, 1989.

    Article  MathSciNet  Google Scholar 

  3. M.Y. Louge, J.T. Jenkins, H. Xu, B. Arnarson, Granular segregation in collisional shearing flows, in: A. Aref, J.W. Phillips (Eds.), Mechanics for a New Millennium, Kluver Academic Publishers, pp.239–252, 2001.

    Google Scholar 

  4. H. Xu, M.Y. Louge, A. Reeves, Solutions of the Kinetic Theory for Bounded Collisional Granular Flows, Continuum Mech. Thermodyn., Vol.15, pp.321–349, 2003.

    Article  MathSciNet  Google Scholar 

  5. A.S. Sangani, G. Mo, H.-K. Tsao, D.L. Koch, Simple shear flows of dense gassolid suspensions at finite Stokes number, J. Fluid Mech., Vol.313, pp.309–341, 1996.

    Article  Google Scholar 

  6. H. Xu, M.Y. Louge, J.T. Jenkins, Flow development of a gas-solid suspension in a microgravity Couette apparatus, Conference and Exhibit on International Space Station Utilization, Cape Canaveral, FL, Oct. 15–18, 2001, AIAA-2001-4992, NY, 2001.

    Google Scholar 

  7. H. Xu, Collisional Granular Flows with and without Gas Interaction in Microgravity, Cornell University, 2003.

    Google Scholar 

  8. H. Xu, A. Reeves, M.Y. Louge, Measurement Errors in the Mean and Fluctuation Velocities of Spherical Grains from a Computer Analysis of Digital Images, Rev. Sci. Instrum., Vol.75, pp.811–819, 2004.

    Article  Google Scholar 

  9. A.J.C. Ladd, Numerical simulations of particulate suspension via a discretized Boltzmann equation, J. Fluid Mech., Vol.271, pp.285–339, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  10. H. Xu, M.Y. Louge, J.T. Jenkins, Flow development of a sheared collisional granular flow, in: Y. Kishino (Eds.), Powders and Grains, pp.259–262, Swets & Zeitlinger, Lisse, 2001.

    Google Scholar 

  11. J.T. Jenkins, B. Arnarson, Private Communication, 2000.

    Google Scholar 

  12. H. Xu, R. Verberg, D.L. Koch, M.Y. Louge, Dense bounded shear flows of agitated solid spheres in a gas at intermediate Stokes and finite Reynolds numbers, J. Fluid Mech., under review, 2004.

    Google Scholar 

  13. J. Happel, H. Brenner, Low Reynolds number hydrodynamics, Prentice-Hall, NY, 1965.

    Google Scholar 

  14. P.C. Carman, The determination of the specific surface area of powder, I. J. Soc. Chem. Ind., Vol.57, pp.225–236, 1937.

    Google Scholar 

  15. M.A. van der Hoef, R. Beetstra, J.A.M. Kuipers, Lattice Boltzmann simulations of low Reynolds number flow past mono-and bidisperse arrays of spheres: results for the permeability and drag force, J. Fluid Mech., under review, 2004.

    Google Scholar 

  16. J.T. Jenkins, C. Zhang, Kinetic theory for identical, frictional, nearly inelastic spheres, Phys. Fluids, Vol.14, pp.1228–1235, 2002.

    Article  Google Scholar 

  17. I. Goldhirsch, Rapid Granular Flows, Ann. Rev. Fluid Mech., Vol.35, pp.267–293, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  18. D.L. Koch, Kinetic theory for a monodisperse gas-solid suspension, Phys. Fluids A, Vol.2, pp.1711–1723, 1990.

    Article  MATH  Google Scholar 

  19. R.R. Sundararajakumar, D.L. Koch, Non-continuum lubrication flows between particles colliding in a gas, J. Fluid Mech., Vol.313, pp.283–308, 1996.

    Article  Google Scholar 

  20. J.J. Wylie, D.L. Koch, A.J.C. Ladd, Rheology of suspensions with high particle inertia and moderate fluid inertia, J. Fluid Mech., Vol.480, pp.95–118, 2003.

    Article  MathSciNet  Google Scholar 

  21. R. Verberg, D.L. Koch, Rheology of suspensions with low to moderate fluid inertia at finite Stokes number, J. Fluid Mech., in preparation, 2004.

    Google Scholar 

  22. D.L. Koch, A.S. Sangani, Particle pressure and marginal stability limits for a homogeneous monodisperse gas fluidized bed: kinetic theory and numerical simulations, J. Fluid Mech., Vol.400, pp.229–263, 1999.

    Article  Google Scholar 

  23. J.T. Jenkins, M.Y. Louge, On the flux of fluctuation energy in a collisional grain flow at a flat, frictional wall, Phys. Fluids, Vol.9, pp.2835–2840, 1997.

    Article  Google Scholar 

  24. M.A. Hopkins, M.Y. Louge, Inelastic Microstructure in Rapid Granular Flows of Smooth Disks, Phys. Fluids A, Vol.3, pp.47–57, 1991.

    Article  Google Scholar 

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Authors and Affiliations

  1. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, 14850, USA

    Michel Y. Louge & Haitao Xu

Authors
  1. Michel Y. Louge
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  2. Haitao Xu
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Editor information

Editors and Affiliations

  1. Polish Academy of Sciences, Warsaw, Poland

    Witold Gutkowski  & Tomasz A. Kowalewski  & 

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© 2005 Springer

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Louge, M.Y., Xu, H. (2005). Collisional Granular Flows with and Without Gas Interactions in Microgravity. In: Gutkowski, W., Kowalewski, T.A. (eds) Mechanics of the 21st Century. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3559-4_15

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  • DOI: https://doi.org/10.1007/1-4020-3559-4_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3456-5

  • Online ISBN: 978-1-4020-3559-3

  • eBook Packages: EngineeringEngineering (R0)

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