Publication detail

Confrontation of the Ohmic approach with the ionic transport approach for modeling the electrical behavior of an electrolyte

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"
}