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Reconstruction of Interfaces between Electrically Conducting Fluids from Electrical Potential Measurements

A.Kurenkov1, A.Thess2, H.Babovsky3
Department of Mechanical Engineering, Fluid Mechanics Group,Technical University of Darmstadt, 64287 Darmstadt, Petersenstrasse 13
Department of Mechanical Engineering, Ilmenau University ofTechnology, P.O.Box 100565, 98684 Ilmenau, Germany
Department of Mathematik, Ilmenau University of Technology, P.O.Box 100565, 98684 Ilmenau, Germany

Fluid Dynamics & Materials Processing 2006, 2(1), 47-58. https://doi.org/10.3970/fdmp.2006.002.047

Abstract

A possibility for the determination of the interface between two electrically conducting fluids in cylindrical geometry is presented. The fluids with different conductivities are situated in an infinite cylinder. Along the axis of the cylinder a homogeneous electrical current is applied. The perturbation of the interface leads to an inhomogeneous electrical current and, therefore, results in an electrical potential change in the fluids and a magnetic field modification outside the fluids. The dependence of the electrical potential on the interface shape is obtained analytically. The interface profile is then recovered from data of the electrical potential measurements which have been generated numerically. This inverse problem is solved for the cases of an axisymmetric and non-axisymmetric interface using the singular value decomposition method and Fourier transform. The number of modes which have to be reconstructed is obtained using L-curve criterion.

Keywords

Electrical impedance tomography, Materials processing, Inverse boundary value problems, L-curve

Cite This Article

, A., , A., , H. (2006). Reconstruction of Interfaces between Electrically Conducting Fluids from Electrical Potential Measurements. FDMP-Fluid Dynamics & Materials Processing, 2(1), 47–58.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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