Influence of Normal Fluid Disturbances on Interactions of Solid Particles with Quantized Vortices
Two-dimensional Lagrangian trajectories of the inertial particle in helium II are analyzed in the vicinity of the triple-vortex structure, i.e. the superfluid vortex and the normal dipole-like vortex structure induced by the mutual friction. It is shown that the vortices in the normal fluid can deflect the particle which otherwise would have collided with the superfluid vortex and, provided that the relative velocity of the particle and the vortex is not too large, would have been trapped by it. A geometrical impact parameter, which in the considered two-dimensional model, plays a rôle of the cross-section of particle–vortex collision, is determined and calculated as a function of temperature, externally applied superfluid velocity, and the Stokes number defined by the size of the local vortex structure, superfluid line velocity, and particle viscous response time.
PACS Numbers67.40.Vs Quantum fluids: vortices and turbulence 47.80.+v Fluid mechanics: instrumentation for fluid mechanics 47.27.-i Fluid mechanics: turbulent flows
Unable to display preview. Download preview PDF.
- 1.R. J. Donnelly, A. N. Karpetis, J. J. Niemela, K. R. Sreenivasan, W. F. Vinen, and C. M. White, J. Low Temp. Phys. 126, 327 (2002); T. Zhang, D. Celik, and S. W. Van Sciver, J. Low Temp. Phys. , 985 (2004); T. Zhang and S. W. Van Sciver, Nat. Phys. , 36 (2005); G. P. Bewley, D. P. Lathrop, and K. R. Sreenivasan, Nature 44, 588 (2006).Google Scholar
- 5.Hall H.E. and Vinen W.F., Proc. Roy. Soc. London Ser. A 238, 215 (1956); W. F. Vinen, Proc. Roy. Soc. London Ser. A 242, 493 (1957).Google Scholar
- 8.K. W. Schwarz, Phys. Rev. Lett. 49, 283 (1982); Phys. Rev. B 38, 2398 (1988).Google Scholar
- 13.The data of this table, used in preparation Dr. Idowu’s Ph.D. Thesis (University of Newcastle, 2000) and work  for publication, have been supplied by Dr. O. C. Idowu.Google Scholar