Interaction of a Gas Flow Carrying Nonspherical Microparticles with a Cross Cylinder

HEAT AND MASS TRANSFER IN DISPERSED AND POROUS MEDIA

A model of the dynamics of the particles-spheroids carried by a gas flow over a cross cylindrical body and rebounding from it has been developed. In this model, the gas flow around the particles is assumed to be viscous, and the reverse action of the particles on the gas and the collisions between them are not taken into account. The coefficients of recovery of the velocity components of the particles rebounded from the cylinder were determined on the basis of the heuristic theory in which the physical and mechanical properties of colliding bodies are considered. The influence of the ratio between the axes of particles-spheroids on the coefficient of wetting of the cylinder by them, the distributions of the mass-flow density of the particles and their velocity components over the cylinder surface, and the spatial distribution of the indicated quantities of the rotating particles rebounded from the cylinder was investigated numerically. The model proposed can be used for estimating the action of ice microcrystals and particles of volcanic ash emissions and dust storms on the structural elements of aircraft engines and small-size flying vehicles.

Keywords

spheroid eccentricity recovery coefficient mass-flow density ice crystals 

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References

  1. 1.
    G. B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, Proc. Roy. Soc. A, 102, 161–179 (1922).Google Scholar
  2. 2.
    J. Mason, W. Strapp, and P. Chow, The particles threat to engines in flight, 44th AIAA Aerospace Sciences Meeting and Exibit, Reno, 2006, AIAA Paper, No. 206 (2006). Google Scholar
  3. 3.
    J. Hallen and G. A. Isaac, Aircraft icing in glaciated and mixed phase clouds, J. Aircraft, 45, No. 6, 2120–2130 (2008).CrossRefGoogle Scholar
  4. 4.
    S. Nilamdeen and W. G. Habashi, Multiphase approach toward simulating ice crystal ingestion in jet engines, J. Propuls. Power, 27, No. 5, 959–969 (2011).CrossRefGoogle Scholar
  5. 5.
    A. Stohl, A. J. Prata, S. Eckhardt, L. Clarisse, et al., Determination of time- and height-resolved volcanic ash emissions and their use for quantitative ash dispersion modeling: the 2010 Eyjafiallajökull eruption, Atmos. Chem. Phys., 11, 4333 (2011).Google Scholar
  6. 6.
    Yu. M. Tsirkunov, S. V. Panfilov, and M. B. Klychnikov, Semiempirical model of impact interaction of a disperse impurity particle with a surface in a gas suspension flow, J. Eng Phys. Thermophys., 67, Nos. 5–6, 1018–1025 (1994).Google Scholar
  7. 7.
    T. F. Ivanov and A. Yu. Varaksin, Investigation of the behavior of the particles rebound from a blunt-nosed body in a heterogeneous flow: experimental and calculation, Teplofiz. Vys. Temp., 43, No. 2, 317–320 (2005).Google Scholar
  8. 8.
    D. O. Njobuenwu and M. Fairweather, Dynamics of single, nonspherical ellipsoidal particles in a turbulent channel flow, Chem. Eng. Sci., 123, 265–282 (2015).CrossRefGoogle Scholar
  9. 9.
    A. L. Stasenko, Velocity recovery factors of a particle repelled from a solid surface, J. Eng Phys. Thermophys., 80, No. 5, 885–891 (2007).CrossRefGoogle Scholar
  10. 10.
    P. G. Saffman, The lift on a small sphere in a slow shear flow, J. Fluid Mech., 22, Part 2, 385–400 (1965).Google Scholar
  11. 11.
    O. Wang and K. D. Squires, Large eddy simulations of particle laden turbulent channel flow, Phys. Fluids, 8, 1207–1223 (1996).CrossRefMATHGoogle Scholar
  12. 12.
    L. H. Zhao, C. Marchioli, and H. I. Anderson, Stokes number effects on particle slip velocity in wall-bounded turbulence and implifications for dispersion models, Phys. Fluids, 24, 021705–021707 (2012).CrossRefGoogle Scholar
  13. 13.
    S. I. Rubinow and J. B. Keller, The transverse force on spinning sphere moving in a viscous fluid J. Fluid Mech., 11, 447–459 (1961).MathSciNetCrossRefMATHGoogle Scholar
  14. 14.
    B. Oesterlé and T. Bin Dinh, Experiments on the lift of a spinning sphere in a range of intermediate Reynolds numbers, Exp. Fluids, 25, 16–22 (1998).CrossRefGoogle Scholar
  15. 15.
    U. Nakaya and A. Matsumoto, Simple experiment showing the existence of "liquid water" film on the ice surface, J. Colloid. Sci., 9, 41–49 (1954).CrossRefGoogle Scholar
  16. 16.
    V. A. Lashkov, Experimental determination of the coefficients of restitution of particles in the flow of a gas suspension in a collision against the surface, J. Eng Phys. Thermophys., 60, No. 2, 154–159 (1991).CrossRefGoogle Scholar
  17. 17.
    I. Reich, B. F. Goodrich, R. Scavazzo, and M. Chu, Survey of mechanical properties of impact ice, AIAA Paper, No. 0712 (1994).Google Scholar
  18. 18.
    J. Petrovic et al., Mechanical properties of ice and snow, J. Mater. Sci., 38, No. 1, 1–6 (2003).MathSciNetCrossRefGoogle Scholar
  19. 19.
    J. C. K. Chou, Quaternion kinematic and dynamic differential equations, IEEE. Trans. Robot. Automat., 8, 53–64 (1992).CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.N. E. Zhukovskii Central Aerohydrodynamic InstituteZhukovskiiRussia
  2. 2.Moscow Physical and Technical InstituteGagarinRussia

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