Abstract
Lorentz force-based flow control in materials with low electrical conductivity has a long history back to the first half of the 19th century. This review will focus on developments during the last two decades, collecting results from numerical simulations and laboratory experiments. Typically, the actuators consist of permanent magnets and electrodes flush-mounted with the surface, generating Lorentz forces in the fluid layers adjacent to the wall. We will discuss the application of Lorentz forces to reduce friction drag in turbulent boundary layers and to delay boundary layer transition. The control of separated flows and shear layers is another key aspect of the review. Energetic efficiency, one of the main criteria for flow control, and its relation to typical operating conditions will be analyzed as well. Lorentz forces can be successfully used to control a broad range of flow phenomena and are a versatile tool for basic fluid dynamics research. However their current applicability in large scale systems is hampered by the low electrical to mechanical efficiency intrinsic to actuators based on the magnetic fields delivered by today’s permanent magnets.
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References
T. Weier, V. Shatrov, G. Gerbeth, in Magnetohydrodynamics: historical evolution and trends (Springer, Dordrecht, 2007)
A. Gailitis, O. Lielausis, Applied Magnetohydrodynamics, Reports of the Riga Physics Institute 12, 143 (1961) (in Russian)
É. Crausse, P. Cachon, Comptes rendus hebdomadaires des séances de l’Académie des Sciences 238, 2488 (1954)
R. Moreau, Magnetohydrodynamics (Kluwer Academic Publishers, Dordrecht, 1990)
V.V. Avilov, Tech. Report Rossendorf Researckh Center, Germany, 1998
J. Donovan, L. Kral, A. Cary, in Proc. 28th AIAA Fluid Dynamics Conference, Snowmass Village, 1997, AIAA 97-1918
Y. Du, A. Beskok, G. Karniadakis, in Proc. of the 3rd ASME/JSME Join Fluids Engineering Conference, San Francisco, 1999
L. Rossi, J.P. Thibault, J. Turbulence 3, 1 (2002)
A.B. Tsinober, in Viscous Drag Reduction in Boundary Layers, edited by D.M. Bushnell, J.N. Hefner (1990)
O. Lielausis, A. Gailitis, R. Dukure, in Proc. Int. Conf. on Energy Transfer in Magnetohydrodynamic Flows, Cadarache, 1991, p. 5
D.M. Nosenchuck, G. Brown, in Near-Wall Turbulent Flows, edited by R. So, C. Speziale, B. Launder (Elsevier Science, New York, 1993), p. 689
D.M. Nosenchuck, G.L. Brown, H.C. Culver, T. Eng, I. Huang, in Proc. 12th Australian Fluid Mechanics Conference, Sydney, 1995, p. 93
D.M. Nosenchuck, in 4th AIAA Shear Flow Control Conference, Snowmass Village, 1997
R. Bandyopadhay, in Proc. of the Int. Symp. on Seawater Drag Reduction, Newport, 1998, p. 457
P. Bandyopadhyay, J. Castano, W. Nedderman, D. Thivierge, J. Stupak, Tech. Rep. Naval Undersea Warfare Center Newport, 2001
Y. Du, C. Crawford, G. Karniadakis, in Proc. Int. Symposium on Seawater Drag Reduction, Newport, 1998
P.L. O’Sullivan, S. Biringen, Phys. Fluids 10, 1169 (1998)
C. Henoch, J. Stace, Phys. Fluids 7, 1371 (1995)
C.H. Crawford, G.E. Karniadakis, Phys. Fluids 9, 788 (1997)
T.W. Berger, J. Kim, C. Lee, J. Lim, Phys. Fluids 12, 631 (2000)
K.S. Breuer, J. Park, C. Henoch, Phys. Fluids 16, 897 (2004)
J. Pang, K.S. Choi, Phys. Fluids 16, 35 (2004)
Y. Du, V. Symeonidis, G.E. Karniadakis, J. Fluid Mech. 457, 1 (2002)
L. Huang, B. Fan, G. Dong, Phys. Fluids 22, 015103 (2010)
V. Shatrov, G. Gerbeth, Phys. Fluids 19, 035109 (2007)
H. Schlichting, K. Gersten, Genzschicht-Theorie (Springer, 1997)
A.B. Tsinober, A.G. Shtern, Magnitnaya Gidrodinamika 3, 152 (1967)
T. Weier, T. Albrecht, G. Mutschke, G. Gerbeth, in Int. Workshop on Flow Control by Tailored Magnetic Fields (FLOWCOMAG), Dresden, 2004
E. Kneisel, Internal report, FZ Rossendorf, 2004 (in German)
T. Albrecht, R. Grundmann, G. Mutschke, G. Gerbeth, Phys. Fluids 18, 098103 (2006)
T. Albrecht, Ph.D. thesis, TU Dresden, 2011
A.R. Wazzan, C. Gazley, A.M.O. Smith, AIAA J. 19, 810 (1981)
T. Weier, Ph.D. thesis, TU Dresden, 2005
J.O. Pralits, A. Hanifi, D.S. Henningson, J. Fluid Mech. 467, 129 (2002)
C. Airiau, A. Bottaro, S. Walther, D. Legendre, Phys. Fluids 15, 1131 (2003)
W. MacCormack, O. Tutty, E. Rogers, P. Nelson, Control Engineering Practice 10, 243 (2002)
M. Gad-el-Hak, Flow Control: Passive, Active, and Reactive Flow Management (Cambridge University Press, Cambridge, 2000)
T. Albrecht, H. Metzkes, R. Grundmann, G. Mutschke, G. Gerbeth, Magnetohydrodyn. 44, 205 (2008)
O.H. Wehrmann, Phys. Fluids 8, 1389 (1965)
R.W. Milling, Phys. Fluids 24, 979 (1981)
R.W. Metcalfe, C.J. Rutland, J.H. Duncan, J.J. Riley, AIAA Journal 24, 1494 (1986)
S. Biringen, Phys. Fluids 27, 1345 (1984)
M. Gaster, Current Science 79, 774 (2000)
S. Grundmann, C. Tropea, Exp. Fluids 44, 795 (2008)
D. Greenblatt, I.J. Wygnanski, Prog. Aero. Sci. 36, 487 (2000)
J.M. Rullan, P.P. Vlachos, D.P. Telionis, M.D. Zeiger, AIAA Journal Aircraft 43, 1738 (2006)
C. Crawford, G. Karniadakis, in 26th AIAA Fluid Dynamics Conference, San Diego, 1995, AIAA 95-2185
O. Posdziech, R. Grundmann, Eur. J. Mech. B/Fluids 20, 255 (2001)
O. Posdziech, Ph.D. thesis, TU Dresden, 2008
T. Weier, G. Gerbeth, G. Mutschke, E. Platacis, O. Lielausis, Exper. Thermal Fluid Sci. 16, 84 (1998)
S. Kim, C. Lee, Exp. Fluids 28, 252 (2000)
T. Weier, G. Gerbeth, G. Mutschke, O. Lielausis, G. Lammers, Flow, Turbulence Comb. 71, 5 (2003)
G. Mutschke, G. Gerbeth, T. Albrecht, R. Grundmann, Eur. J. Mech. B/Fluids 25, 137 (2006)
T. Weier, G. Gerbeth, Eur. J. Mech. B/Fluids 23, 835 (2004)
C. Cierpka, T. Weier, G. Gerbeth, in Active Flow Control. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), edited by R. King (Springer, Berlin, 2007), p. 27
C. Cierpka, T. Weier, G. Gerbeth, Exper. Fluids 45, 943 (2008)
C. Cierpka, Ph.D. thesis, TU Dresden, 2009
C. Cierpka, T. Weier, G. Gerbeth, Phys. Fluids 22, 075109 (2010)
T. Albrecht, T. Weier, G. Gerbeth, H. Metzkes, J. Stiller, in 5th AIAA Flow Control Conference, Chicago, 2010, AIAA-2010-4709
T. Weier, T. Albrecht, G. Gerbeth, S. Wittwer, H. Metzkes, J. Stiller, in Proc. of the 7th Int. Symp. on Turbulence and Shear Flow Phenomena (TSFP-7), Ottawa, 2011
S. Snarski, in Proc. of the International Symposium on Seawater Drag Reduction, Newport, 1998, p. 419
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Albrecht, T., Stiller, J., Metzkes, H. et al. Electromagnetic flow control in poor conductors. Eur. Phys. J. Spec. Top. 220, 275–285 (2013). https://doi.org/10.1140/epjst/e2013-01813-4
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DOI: https://doi.org/10.1140/epjst/e2013-01813-4