Abstract
We perform Direct Numerical Simulations (DNS) of electromagnetically fractal-forced and Rayleigh-damped two-dimensional flows. Our simulations show broad band power law energy spectra. When the fractal dimension of the magnets’ distribution is D f =0.5 then p ≈ 2.5 in agreement with previous laboratory experiment. Moreover, when the fractal distribution of magnets is changed, p varies linearly with D f , the fractal dimension of the magnet set up. Hence, fractal control of the energy spectrum is possible.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Davila and J.C. Vassilicos. Richardson’s pair diffusion and the stagnation point structure of turbulence. Phys. Rev. Lett. 91, 2003, 144501.
S. Goto and J.C. Vassilicos. Particle pair diffusion and persistent streamline topology in twodimensional turbulence. New J. Phys. 6, 2004, 1–35.
B. Mazzi, F. Okkels and J.C. vassilicos. A shell model approach to fractal induced turbulence. Europ. Phys. B 28(2), 2002, 231–241.
L. Rossi, J.C. Vassilicos and Y. Hardalupas. Multi-scale laminar flows with turbulent-like properties. Phys. Rev. Lett. 97, 2006, 144501.
L. Rossi, J.C. Vassilicos and Y. Hardalupas. Electromagnetically controlled multi-scale flows. J. Fluid Mech. 558, 2006, 207–242.
L. Rossi and J.P. Thibault. Investigation of wall normal electromagnetic actuator for seawater flow control. J. Turbulence 3, 2002, 1–15.
Y. Du, V. Symeonidis and G.E. Karniadakis. Drag reduction in wall-bounded turbulence via a transverse travelling wave. J. Fluid Mech. 457, 2002, 1–34.
T. Weier, G. Gerbeth, G. Mutschke, O. Lielausis and G. Lammers. Control of flow separation using electromagnetic forces. Flow, Turbulence and Combustion 71, 2003, 5–17.
B. Mazzi and J.C. Vassilicos. Fractal generated turbulence. J. Fluid Mech. 502, 2004, 65–87.
P. Tabeling. Two-dimensional turbulence: A physicist approach. Phys. Rep. 362, 2002, 1–62.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer
About this paper
Cite this paper
Hascoët, E., Rossi, L., Vassilicos, J.C. (2008). Multi-Scale Flow Control for Efficient Mixing: Simulation of Electromagnetically Forced Turbulent-Like Laminar Flows. In: Morrison, J.F., Birch, D.M., Lavoie, P. (eds) IUTAM Symposium on Flow Control and MEMS. IUTAM Bookseries, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6858-4_33
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6858-4_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6857-7
Online ISBN: 978-1-4020-6858-4
eBook Packages: EngineeringEngineering (R0)