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KARIMI-SIBAKI, E. KHARICHA, E. WU, M. LUDWIG, A. BOHÁČEK, J.
Original Title
Confrontation of the Ohmic approach with the ionic transport approach for modeling the electrical behavior of an electrolyte
Type
journal article in Web of Science
Language
English
Original Abstract
Two mathematical approaches have been compared for modeling the electrical behavior (e.g., electric/current density field) of an electrolyte. The first approach uses the traditional Ohmic method (Laplace equation) based on the assumption of a uniform concentration of ions in the electrolyte. The second approach utilizes the ionic transport method that takes into account the effect of electrochemical transport/reaction of ions assuming a quasi-electro neutral bulk for the electrolyte. For the latter, the Poisson-Nernst-Planck (PNP) equations are employed to include impacts of the non-uniformity of the concentration of ions on the electrical pattern of the electrolyte. Demonstratively, a 2D case was studied. It comprises two unequally sized electrodes, which are separated by the electrolyte. Findings show that the electrical behavior of the electrolyte remains unchanged using an Ohmic approach, regardless of variations in operational parameters such as applied voltage and electrode polarity. In contrast, the electrical behavior in response to the operational parameters is found to be significantly influenced using the ionic transport approach. Therefore, Ohm's law is invalid in the bulk of an electrolyte, when a non-uniform concentration field of ions exists. Ultimately, the obtained results helped to propose an explanation on a commonly observed phenomenon (melt rate-polarity relationship) during the DC operation of the electroslag remelting (ESR) process.
Keywords
Transport of ions; Electric current density; Faradaic reaction; Laplace equation; Poisson-Nernst-Planck (PNP) equations; Butler-Volmer formula; Electroslag remelting (ESR)
Authors
KARIMI-SIBAKI, E.; KHARICHA, E.; WU, M.; LUDWIG, A.; BOHÁČEK, J.
Released
1. 6. 2018
Publisher
SPRINGER HEIDELBERG
Location
HEIDELBERG
ISBN
0947-7047
Periodical
IONICS
Year of study
24
Number
7
State
Federal Republic of Germany
Pages from
2157
Pages to
2165
Pages count
9
URL
http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=13&SID=E6RhdId53lWwjwLhzvN&page=1&doc=1
BibTex
@article{BUT164740, author="KARIMI-SIBAKI, E. and KHARICHA, E. and WU, M. and LUDWIG, A. and BOHÁČEK, J.", title="Confrontation of the Ohmic approach with the ionic transport approach for modeling the electrical behavior of an electrolyte", journal="IONICS", year="2018", volume="24", number="7", pages="2157--2165", doi="10.1007/s11581-018-2460-3", issn="0947-7047", url="http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=13&SID=E6RhdId53lWwjwLhzvN&page=1&doc=1" }