Abstract
Taylor-Görtler vortices play an important role in the flow driven by rotating magnetic field in a closed cylindrical container. The visualization of these structures is essential to understand their physics and their impact on the dynamics of the flow. We present a study of various methods for identifying vortex cores, including the so-called λ2 andQriteria. While λ2 is, probably, the better indicator it is more sensitive to numerical noise and thus less effective in devising 3D vortex structures. Here, the Q criterion proved particularly useful when applied to the fluctuation velocity field.
Access this article
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Chong, M. S., Perry, A. E. and Cantwell, B. J., A general classification of three-dimensional flow field. Phys. Fluids A 2 (1990), 765.
Grants, I. and Gelfgat, Yu. M., Stability of swirling-recirculating flow due to rotating magnetic field, Magnetohydrodynamics, 34-1 (1998), 93–101.
Grants, I. and Gerbeth, G., Linear three-dimensional instability of a magnetically driven rotating flow, J. Fluid Mech., 463 (2002), 229–239.
Hunt, J. C. R., Wray, A. A. and Moin, P., Eddies stream, and convergence zones in turbulent flows, Center for Turbulence Research Report CTR-S88 (1988), 193.
Jeong, J. and Hussain F., On the identification of a vortex, J. Fluid Mech., 285 (1995), 69–94.
Kaiser, T. H. and Benz, K. W., Taylor vortex instabilities induced by a rotating magnetic field: A numerical approach, Physics of Fluids, 10 (1998) 5, 1104–1110.
Marty, Ph., Martin Witkowski, L., Trombetta, P. and Tomasino, T., On the stability of rotating MHD flows, Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows, (1999), 327–43, Kluwer Academic Publisher.
Metcalfe, R. W., Hussain, F., Menon, S. and Hyakwa, M., Coherent structures in a turbulent mixing layer: a comparison between numerical simulations and experiments. In Turbulent Shear Flows 5 (ed. F. Durst, B. E. Launder, J. L. Lumley, F. W. Schmidt and J. H. Whitelaw), (1985), 110, Springer.
Stiller, J., Fraňa K., Grundmann, R., Fladrich, U. and Nagel, W. E, A Parallel PSPG Finite Element Method for Direct Simulation of Incompressible Flow, In: Euro-Par 2004, (2004), 726–733, Springer.
Author information
Authors and Affiliations
Corresponding author
Additional information
Karel Fraňa: He received his M.Sc. (Eng.) degree in 1999 from Technical University of Liberec in Czech Republic and his Ph.D. in 2004 from the same university. Nowadays he works at Institute of Aerospace Engineering at TU Dresden, Germany. His research interests focus on the numerical method (finite element method) and on the magnetically driven flow investigated by using direct numerical simulations.
Jörg Stiller: He is a lecturer (Dozent) for magnetofluiddynamics at the Institute for Aerospace Engineering at TU Dresden, Germany. He received his Ph.D. in 1994 from TU Dresden. His research activities focus on numerical methods, including adaptive finite element and spectral element techniques for incompressible and compressible flows.
Roger Grundmann: He studied turbo-engineering from 1964 to 1970 at Technical University of Berlin, Ph.D. in 1972 at TU Berlin. From 1972 until 1992 he was as a research scientist at DLR in Cologne and Göttingen and from 1985 to 1991 a professor at the Van Karman Institute for Fluid Dynamics in Brussels. Since 1993 he was a professor for thermofluiddynamics and applied aerodynamics at the TU Dresden. His research interests are fluid mechanics, computational fluid dynamics, aerodynamics and turbulence modeling.
Rights and permissions
About this article
Cite this article
Fraňa, K., Stiller, J. & Grundmann, R. Taylor-Görtler vortices in the flow driven by a rotating magnetic field in a cylindrical container. J Vis 8, 323–330 (2005). https://doi.org/10.1007/BF03181551
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03181551