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On the added mass force at finite Reynolds and acceleration numbers

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Abstract

Numerical simulations of flow around a rigid sphere, subjected to a sudden acceleration (or deceleration) in relative velocity, are considered. Particular attention is paid to the interaction between the imposed sudden acceleration and a preexisting finite Re wake. The results clearly establish the independence of added mass coefficient to the acceleration number and to the state of flow prior to acceleration. A simple reasoning based on the different time scales of the flow is given.

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References

  1. Batchelor G. (1967). An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  2. Landau L. and Lifshitz E. (1959). Course of Theoretical Physics. Volume 6: Fluid Mechanics. Pergamon, Oxford

    Google Scholar 

  3. Lovalenti P. and Brady J. (1993). J. Fluid Mech. 256: 561

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Mei R., Lawrence C. and Adrian R. (1991). J. Fluid Mech. 233: 613

    Article  MATH  ADS  Google Scholar 

  5. Mei R. (1993). Int. J. Multiphase Flow 19: 509

    Article  Google Scholar 

  6. Odar F. and Hamilton W. (1964). J. Fluid Mech. 18: 302

    Article  MATH  ADS  Google Scholar 

  7. Odar F. and Hamilton W. (1966). J. Fluid Mech. 25: 591

    Article  ADS  Google Scholar 

  8. Cheng, L., Drew, D., Lahey, R.: Virtual Mass Effects in Two-Phase Flow, NUREG/CR-0020. U.S. Nuclear Regulatory Commission (1978)

  9. Rivero M., Magnaudet J. and Fabre J. (1991). C.R. Acad. Sci. Paris Ser. II 312: 1499

    MATH  Google Scholar 

  10. Chang E. and Maxey M. (1995). J. Fluid Mech. 303: 133

    Article  MATH  ADS  Google Scholar 

  11. Howe M. (1995). Q. J. Appl. Mech. App. Math. 48: 401

    Article  MATH  MathSciNet  Google Scholar 

  12. Mougin G. and Magnaudet J. (2002). Int. J. Multiphase Flow 28: 1837

    Article  Google Scholar 

  13. Bagchi P. and Balachandar S. (2002). J. Fluid Mech. 466: 365

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. Bagchi P. and Balachandar S. (2003). J. Fluid Mech. 481: 105

    Article  MATH  ADS  Google Scholar 

  15. Mittal R. and Balachandar S. (1996). J. Comput. Phys. 124: 351

    Article  MATH  Google Scholar 

  16. Bagchi P. and Balachandar S. (2002). Phys. Fluids 14: 2719

    Article  ADS  Google Scholar 

  17. Chang E. and Maxey M. (1994). J. Fluid Mech. 277: 347

    Article  MATH  ADS  Google Scholar 

  18. Alassar R.S., Badr H.M. and Allaya R. (2000). Comput. Mech. 26: 409

    Article  MATH  Google Scholar 

  19. Hunt J. and Eames I. (2002). J. Fluid Mech. 457: 111

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. Auton T.R., Hunt J.C.R. and Prudhomme M. (1988). J. Fluid Mech. 197: 241

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. Wakaba L. and Balachandar S. (2005). Int. J. Multiphase Flow 31: 996

    Google Scholar 

  22. Legendre D. and Magnaudet J. (1998). J. Fluid Mech. 368: 81

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Correspondence to S. Balachandar.

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Communicated by M.Y. Hussaini

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Wakaba, L., Balachandar, S. On the added mass force at finite Reynolds and acceleration numbers. Theor. Comput. Fluid Dyn. 21, 147–153 (2007). https://doi.org/10.1007/s00162-007-0042-5

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  • DOI: https://doi.org/10.1007/s00162-007-0042-5

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