Effects of the induced magnetic field on the magnetohydrodynamic channel flow

1972 ◽  
Vol 19 (3) ◽  
pp. 322-331 ◽  
Author(s):  
K.I. Denno ◽  
A.A. Fouad
Keyword(s):  
Magnetic Field ◽  
Channel Flow ◽  
Induced Magnetic Field ◽  
Magnetohydrodynamic Channel

Optimal and Robust Control of Magnetohydrodynamic Channel Flow Instabilities

2006 ◽  
Author(s):  
Karim Debbagh ◽  
Patricia Cathalifaud ◽  
Christophe Airiau
Keyword(s):  
Magnetic Field ◽  
Channel Flow ◽  
Closed Loop ◽  
Closed Loop Control ◽  
Optimal Perturbation ◽  
Loop Control ◽  
Full State ◽  
Robust Formulation ◽  
Magnetohydrodynamic Channel ◽  
Normal Magnetic Field

Active closed-loop control of subcritical and supercritical instabilities amplified in a channel flow submitted to a constant normal magnetic field is investigated. The control is carried out at both the upper and the lower wall by blowing and suction or by a perturbation of the normal magnetic field. A robust formulation (H∞) of the control has been performed to take into account uncertainties coming from the state disturbances and the measurement noise. Optimal and robust dynamic controls have been tested, with full state information or only wall informations. As expected, we found that the closed-loop control modifies the optimal perturbation. However the lift-up mechanisms are still in action. In the supercritical case we found that the control acts almost exclusively on the unstable mode, whose real part becomes negative.

scholarly journals Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

2008 ◽  
Vol 2008 ◽  
pp. 1-23 ◽  
Author(s):  
Kh. S. Mekheimer
Keyword(s):  
Magnetic Field ◽  
Current Distribution ◽  
Micropolar Fluid ◽  
Magnetic Force ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Shear Stresses ◽  
Induced Magnetic Field ◽  
Symmetric Channel ◽  
Axial Pressure Gradient

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

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