Multidomain analytical-numerical solution for a rotating magnetic field with a finite-length conducting cylinder

2000 ◽  
Vol 36 (2) ◽  
pp. 452-460 ◽  
Author(s):  
L.M. Witkowski ◽  
P. Marty ◽  
J.S. Walker
1999 ◽  
Vol 11 (7) ◽  
pp. 1821-1826 ◽  
Author(s):  
L. Martin Witkowski ◽  
J. S. Walker ◽  
P. Marty

2001 ◽  
Vol 436 ◽  
pp. 131-143 ◽  
Author(s):  
L. MARTIN WITKOWSKI ◽  
P. MARTY ◽  
J. S. WALKER

A liquid-metal flow driven by a rotating magnetic field in a finite-length cylinder is studied numerically as a function of the field frequency. In the high-frequency case, the magnetic field is expelled from the liquid-metal except in a skin-depth layer along the side and top walls of the cylinder. In the corner region, where the skin-depth layers intersect, the body force exhibits a large positive and negative azimuthal component as well as inward radial and axial components which are rotational. The flows for various frequencies are compared to the low-frequency flow.


1993 ◽  
Vol 15 (6) ◽  
pp. 411-416 ◽  
Author(s):  
Yu. M. Gelfgat ◽  
L. A. Gorbunov ◽  
V. Kolevzon

2021 ◽  
Vol 57 (2) ◽  
pp. 139-160

The present article describes a numerical strategy for the estimation of the shear coefficient of spin viscosity for a ferrofluid sample confined to a cylindrical container and exposed to the effect of an external rotating magnetic field with a low amplitude and frequency. As far as we know, there are no experimental measurements of such coefficient. Furthermore, the few analytical values reported differ in several orders of magnitude. First, we describe briefly the mathematical model of the system and its numerical solution. Then, the definition of the direct and inverse problems is given as a part of the methodology for estimating such coefficient. Finally, we solve the inverse problem using simulated measurements and two global optimization algorithms. We generate this type of measurements by adding white Gaussian noise signals to the numerical solution of the ferrohydrodynamic mathematical model. Several noise levels in the range of 10 to 40 dB were used to increase the number of scenarios for validation purpose. Results showed an excellent agreement between the estimated values and those used in the numerical solution of the mathematical model. A statistical analysis revealed a normal distribution that was dependent on the noise level. This variation did not affect the results, but showed instead the validity of the proposed method. Additionally, this strategy stands as a computational tool for validating experimental results of the future in situ measurements. Tables 7, Figs 11, Refs 17.


Author(s):  
О. Karlov ◽  
◽  
I. Kondratenko ◽  
R. Kryshchuk ◽  
A. Rashchepkin ◽  
...  

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