Electrode polarization vs. Maxwell-Wagner-Sillars interfacial polarization in dielectric spectra of materials: Characteristic frequencies and scaling laws

2015 ◽  
Vol 142 (19) ◽  
pp. 194703 ◽  
Author(s):  
M. Samet ◽  
V. Levchenko ◽  
G. Boiteux ◽  
G. Seytre ◽  
A. Kallel ◽  
...  
2021 ◽  
Author(s):  
◽  
Sean Thomas Buchanan

<p>This thesis summarises an experimental and theoretical study of the low frequency electrical properties of sea ice. The aim of the research was to first demonstrate, and then gain a physical understanding of, the microstructural dependence of a sea ice impedance measurement. In particular, we sought to realise how the effective electrical properties of the medium depended on the volume fraction, orientation, dimensions, and connectivity of the dispersed brine phase. The experimental portion of the project was performed on laboratory grown, artificial sea ice. We monitored the variation with time, and temperature, of the broadband sea ice impedance using four-electrode measurement cells embedded within the ice. The four-electrode measurement allowed us to realise and eliminate the contribution of electrode polarization to the measured impedance. By representing the electrical response of sea ice as a complex conductivity, we formulated a broadband physical model to describe the medium. The model distinguished bulk conduction, bulk polarization, and interfacial polarization. A complex non-linear least squares fitting procedure revealed the individual contribution of these physical processes and we studied their variation with temperature. We found that the bulk material underwent a dielectric relaxation with activation energy Ea = 0.20 + and - 0.04eV. We linked the bulk material properties with a two phase microstructural model, with realistic input parameters.</p>


2021 ◽  
Author(s):  
◽  
Sean Thomas Buchanan

<p>This thesis summarises an experimental and theoretical study of the low frequency electrical properties of sea ice. The aim of the research was to first demonstrate, and then gain a physical understanding of, the microstructural dependence of a sea ice impedance measurement. In particular, we sought to realise how the effective electrical properties of the medium depended on the volume fraction, orientation, dimensions, and connectivity of the dispersed brine phase. The experimental portion of the project was performed on laboratory grown, artificial sea ice. We monitored the variation with time, and temperature, of the broadband sea ice impedance using four-electrode measurement cells embedded within the ice. The four-electrode measurement allowed us to realise and eliminate the contribution of electrode polarization to the measured impedance. By representing the electrical response of sea ice as a complex conductivity, we formulated a broadband physical model to describe the medium. The model distinguished bulk conduction, bulk polarization, and interfacial polarization. A complex non-linear least squares fitting procedure revealed the individual contribution of these physical processes and we studied their variation with temperature. We found that the bulk material underwent a dielectric relaxation with activation energy Ea = 0.20 + and - 0.04eV. We linked the bulk material properties with a two phase microstructural model, with realistic input parameters.</p>


1994 ◽  
Vol 144 ◽  
pp. 185-187
Author(s):  
S. Orlando ◽  
G. Peres ◽  
S. Serio

AbstractWe have developed a detailed siphon flow model for coronal loops. We find scaling laws relating the characteristic parameters of the loop, explore systematically the space of solutions and show that supersonic flows are impossible for realistic values of heat flux at the base of the upflowing leg.


1993 ◽  
Vol 3 (10) ◽  
pp. 2041-2062 ◽  
Author(s):  
M. J. Thill ◽  
H. J. Hilhorst

2000 ◽  
Vol 627 ◽  
Author(s):  
Prabhu R. Nott ◽  
K. Kesava Rao ◽  
L. Srinivasa Mohan

ABSTRACTThe slow flow of granular materials is often marked by the existence of narrow shear layers, adjacent to large regions that suffer little or no deformation. This behaviour, in the regime where shear stress is generated primarily by the frictional interactions between grains, has so far eluded theoretical description. In this paper, we present a rigid-plastic frictional Cosserat model that captures thin shear layers by incorporating a microscopic length scale. We treat the granular medium as a Cosserat continuum, which allows the existence of localised couple stresses and, therefore, the possibility of an asymmetric stress tensor. In addition, the local rotation is an independent field variable and is not necessarily equal to the vorticity. The angular momentum balance, which is implicitly satisfied for a classical continuum, must now be solved in conjunction with the linear momentum balances. We extend the critical state model, used in soil plasticity, for a Cosserat continuum and obtain predictions for flow in plane and cylindrical Couette devices. The velocity profile predicted by our model is in qualitative agreement with available experimental data. In addition, our model can predict scaling laws for the shear layer thickness as a function of the Couette gap, which must be verified in future experiments. Most significantly, our model can determine the velocity field in viscometric flows, which classical plasticity-based model cannot.


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