Control of weakly conductive fluids by near wall Lorentz forces

In this work optimal and model-predictive control approaches for control of weakly conductive fluids are developed. The flow around the circular cylinder at low Reynolds numbers serves as prototyping application. Control by near-wall Lorentz forces gains either to suppress the formation of the von Karman Vortex Street, or to reduce the drag. Besides a concise mathematical modelling numerical examples are presented which highlight the scope of the presented control approaches. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

[1]  Karl Kunisch,et al.  Second Order Methods for Optimal Control of Time-Dependent Fluid Flow , 2001, SIAM J. Control. Optim..

[2]  R. Grundmann,et al.  Electromagnetic control of seawater flow around circular cylinders , 2001 .

[3]  N. Aubry,et al.  Active control of cylinder wake , 2005 .

[4]  T. Weier,et al.  Control of Flow Separation Using Electromagnetic Forces , 2003 .

[5]  Mohamed Gad-el-Hak,et al.  Modern developments in flow control , 1996 .

[6]  G. Gerbeth,et al.  Experiments on cylinder wake stabilization in an electrolyte solution by means of electromagnetic forces localized on the cylinder surface , 1998 .

[7]  Michael Hinze.  Instantaneous Closed Loop Control of the Navier-Stokes System , 2005, SIAM J. Control. Optim..

[8]  M. Hinze.  Optimal and instantaneous control of the instationary Navier-Stokes equations , 2002 .

[9]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[10]  R. Temam,et al.  Feedback control for unsteady flow and its application to the stochastic Burgers equation , 1993, Journal of Fluid Mechanics.

[11]  G. Gerbeth,et al.  Control of separated flows by time periodic Lorentz forces , 2004 .

[12]  John Kim,et al.  Turbulent boundary layer control utilizing the Lorentz force , 2000 .

[13]  U. Fey,et al.  Boundary layer control by means of wall parallel Lorentz forces , 2001 .

[14]  J. Rawlings,et al.  The stability of constrained receding horizon control , 1993, IEEE Trans. Autom. Control..