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Article
Publication date: 1 December 2005

Kevin L. Heppner and Richard W. Evitts

To present a new hybrid differencing scheme for the numerical solution of an electromigration‐diffusion equation. The value of this work is evidenced by demonstrated improvement…

Abstract

Purpose

To present a new hybrid differencing scheme for the numerical solution of an electromigration‐diffusion equation. The value of this work is evidenced by demonstrated improvement in the simulation of the Fu and Chan experiment when using the hybrid scheme.

Design/methodology/approach

A hybrid differencing scheme is developed which is based upon the solution of the pseudo‐steady state electromigration‐diffusion equation. In this scheme, a weighting parameter is calculated that varies the relative influence of the upwind node (relative to the direction of electromigration). This scheme significantly enhances the accuracy of electrochemical system mass transport models.

Findings

The hybrid scheme was compared to the upwind scheme. Use of the new hybrid scheme improved the accuracy of the model predictions by as much as 87 percent compared to the upwind scheme. However, use of the new scheme also increased the simulation time by between 6 and 43 percent. Deviations from electroneutrality and the presence of an activity coefficient gradient were detrimental to the stability of the hybrid scheme.

Research limitations/implications

This scheme is presented in the paper as an one‐dimensional (1D) scheme. However, it could be extended to more than 1D but some artificial viscosity may result.

Practical implications

The hybrid scheme developed and demonstrated herein is useful for researchers developing mass transport models of electrochemical systems. It has been proven capable of improving the accuracy of electrolyte mass transport models.

Originality/value

This is the first hybrid differencing scheme designed for the special characteristics of electrochemical mass transport systems. It greatly improves the accuracy of simulation results. This work is useful to those who mathematically model electrochemical systems.

Details

International Journal of Numerical Methods for Heat & Fluid Flow, vol. 15 no. 8
Type: Research Article
ISSN: 0961-5539

Keywords

Article
Publication date: 1 September 1933

THIS number of THE LIBRARY WORLD closes one of the most distinguished years in the history of libraries. The opening of the National Central Library by the King on November 7th…

Abstract

THIS number of THE LIBRARY WORLD closes one of the most distinguished years in the history of libraries. The opening of the National Central Library by the King on November 7th was undoubtedly the most important public happening in this country, not only of that particular day, but for a very long period. For the first time the highest personage in the land gave his countenance and approval to the work of the public library through the National Central Library which is its natural crown. In describing the Library as “a university which all may join and which none may ever leave,” His Majesty added a memorable phrase to library literature, and gave a new impulse to library activity.

Details

New Library World, vol. 36 no. 5
Type: Research Article
ISSN: 0307-4803

Article
Publication date: 1 March 1932

The old snobbery in regard to public libraries expressed itself in the phrase “the provision of the illiterate for the illiterate by the illiterate” —a phrase which is too…

Abstract

The old snobbery in regard to public libraries expressed itself in the phrase “the provision of the illiterate for the illiterate by the illiterate” —a phrase which is too literate to have had any but an easily recognizable origin. It was always hypocritical or ignorant, or both, of course, but the snobbery it reflected has faded into its true values today. Recent careful analyses of the registers of a few public libraries go to show that the greater number of readers are actual ratepayers, and many of them substantial ones. The old fear of the “free” library with its charity associations has gone, except perhaps in such quarters as originated the phrase quoted above. A fair reflection of this was a remark in a very recent public case where the counsel asked a witness who complained that she had “to get pocket money to buy books” if she did not know of free libraries, and the presiding Chancellor of the Diocese of Norwich remarked that he had obtained books from the County Library. On all sides, too, we hear that the issues from public libraries at this Easier have surpassed all records.

Details

New Library World, vol. 34 no. 9
Type: Research Article
ISSN: 0307-4803

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