Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Surface switching statistics of rotating fluid: Disk-rim gap effects

Yuji Tasaka*

Makoto Iima

  • Laboratory for Flow Control, Hokkaido University, N13W8, Sapporo 060-8628, Japan

  • Graduate School of Science, Hiroshima University, 1-7-1 Kagamiyama, Higashi-hiroshima 739-8521, Japan

  • *tasaka@eng.hokudai.ac.jp

Phys. Rev. E 95, 043113 – Published 27 April, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.043113

Abstract

We examined the influence of internal noise on the irregular switching of the shape of the free surface of fluids in an open cylindrical vessel driven by a bottom disk rotating at constant speed [Suzuki, Iima, and Hayase, Phys. Fluids 18, 101701 (2006)]. A slight increase in the disk-rim gap (less than 3% of the disk radius) was established experimentally to cause significant changes in this system, specifically, frequent appearance of the surface descending event connecting a nonaxisymmetric shape in strong mixing flow (turbulent flow) and an axisymmetric shape in laminar flow, as well as a shift in critical Reynolds number that define the characteristic states. The physical mechanism underlying the change is analyzed in terms of flow characteristics in the disk-rim gap, which acts as a noise source, and a mathematical model established from measurements of the surface height fluctuations with noise term.

Physics Subject Headings (PhySH)

Article Text

References (39)

  1. E. R. Benton and A. J. Clark, Annu. Rev. Fluid Mech. 6, 257 (1974).
  2. H. P. Greenspan, in The Theory of Rotating Fluids (Cambridge University Press, Cambridge, 1968).
  3. M. P. Escudier, Exp. Fluids 2, 189 (1984).
  4. J. Lopez, F. Marques, A. H. Hirsa, and R. Miraghaie, J. Fluid Mech. 502, 99 (2004).
  5. S. Fujimoto and Y. Takeda, Phys. Rev. E 80, 015304(R) (2009).
  6. P. T. Brady, M. Herrmann, and J. M. Lopez, Phys. Rev. E 85, 016308 (2012).
  7. L. Kahouadji and L. M. Witkowski, Phys. Fluids 26, 072105 (2014).
  8. G. H. Vatistas, J. Fluid Mech. 217, 241 (1990).
  9. T. R. N. Jansson, M. P. Haspang, K. H. Jensen, P. Hersen, and T. Bohr, Phys. Rev. Lett. 96, 174502 (2006).
  10. G. H. Vatistas, H. A. Abderrahmane, and M. H. Kamran Siddiqui, Phys. Rev. Lett. 100, 174503 (2008).
  11. R. Bergmann, L. Tophøj, T. A. M. Homan, P. Hensen, A. Andersen, and T. Bohr, J. Fluid Mech. 679, 415 (2011).
  12. H. Ait Abderrahmane, K. Siddiqui, G. H. Vatistas, M. Fayed, and H. D. Ng, Phys. Rev. E 83, 056319 (2011).
  13. L. Tophøj, J. Mougel, T. Bohr, and D. Fabre, Phys. Rev. Lett. 110, 194502 (2013).
  14. K. Iga, S. Yokota, S. Watanabe, T. Ikeda, H. Niino, and N. Misawa, Fluid Dyn. Res. 46, 031409 (2014).
  15. D. Fabre and J. Mougel, Fluid Dyn. Res. 46, 061415 (2014).
  16. B. Bach, E. C. Linnartza, M. H. Vesteda, A. Andersena, and T. Bohr, J. Fluid Mech. 759, 386 (2014).
  17. T. Suzuki, M. Iima, and Y. Hayase, Phys. Fluids 18, 101701 (2006).
  18. Y. Tasaka, M. Iima, and K. Ito, J. Phys.: Conf. Ser. 137, 012030 (2008).
  19. Y. Tasaka and M. Iima, J. Fluid Mech. 636, 475 (2009).
  20. M. Iima and Y. Tasaka, J. Fluid Mech. 789, 402 (2016).
  21. J. M. D. Fabre and L. Lacaze, Mechan. Industry 15, 107 (2014).
  22. Y. Takeda, JSME Intl. J. B 38, 8 (1995).
  23. In Ultrasonic Doppler Velocity Profiler for Fluid Flow, Vol. 101, edited by Y. Takeda (Springer, Berlin, 2012).
  24. P. Le Gal, Y. Tasaka, J. Nagao, A. Cros, and K. Yamaguchi, J. Eng. Math. 57, 289 (2007).
  25. T. Watanabe and H. Furukawa, Exp. Fluids 48, 631 (2010).
  26. C. D. Andereck, S. S. Liu, and H. L. Swinney, J. Fluid Mech. 164, 155 (1986).
  27. H. L. Reed and W. S. Saric, Annu. Rev. Fluid Mech. 21, 235 (1989).
  28. B. Hof, J. Westerweel, T. M. Schneider, and B. Eckhardt, Nature 443, 59 (2006).
  29. K. R. Sreenivasan, A. Bershadskii, and J. J. Niemela, Phys. Rev. E 65, 056306 (2002).
  30. S. Imayama, P. H. Alfredsson, and R. J. Lingwood, J. Fluid Mech. 716, 638 (2013).
  31. B. Pier, J. Fluid Mech. 737, R1 (2013).
  32. T. Mullin, Annu. Rev. Fluid Mech. 43, 1 (2011).
  33. P. Manneville, J. Mech. B Fluids 49, 345 (2015).
  34. K. Sugiyama, R. Ni, R. J. A. M. Stevens, T. S. Chan, S.-Q. Zhou, H.-D. Xi, C. Sun, S. Grossmann, K.-Q. Xia, and D. Lohse, Phys. Rev. Lett. 105, 034503 (2010).
  35. R. Ni, S.-D. Hung, and K.-Q. Xia, J. Fluid Mech. 778, R5 (2015).
  36. F. Ravelet, L. Marie, A. Chiffaudel, and F. Daviaud, Phys. Rev. Lett. 93, 164501 (2004).
  37. A. de la Torre and J. Burguete, Phys. Rev. Lett. 99, 054101 (2007).
  38. D. Barkley, Phys. Rev. E 84, 016309 (2011).
  39. Y. Sato, M. Iima, and Y. Tasaka, Hokkaido University Preprint Series in Mathematics, No. 979 (2011).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation