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ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTCatalytic reduction of carbon dioxide at carbon electrodes modified with cobalt phthalocyanineCharles M. Lieber and Nathan S. LewisCite this: J. Am. Chem. Soc. 1984, 106, 17, 5033–5034Publication Date (Print):August 1, 1984Publication History Published online1 May 2002Published inissue 1 August 1984https://pubs.acs.org/doi/10.1021/ja00329a082https://doi.org/10.1021/ja00329a082research-articleACS PublicationsRequest reuse permissionsArticle Views2680Altmetric-Citations268LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts
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Two simple interface relaxation techniques for solving elliptic differential equations are considered. A theoretical analysis is carried out at the differential level and “optimal” relaxation parameters are obtained for model problems. A comprehensive experimental numerical study for 1- and 2-dimensional problems is also presented. We present a complete analysis of convergence and optimum parameters for two 1-dimensional methods applied to Helmholtz equations: the averaging method AVE and the Robin-type method ROB. We then present experimental studies for 1- and 2-dimensional methods and more general equations. These studies confirm the theoretical results and suggest they are valid in these more general cases.
Oxide coatings used for various components in the hot section of aero-turbine engines experience temperature gradients at various stages during their flight cycle. One gradient exists during steady-state, due to the combination of the combustion environment next to the free surface and internal cooling of the underlying superalloy substrate. Other gradients develop during cooling of the surface when engine power is reduced. It will be argued that delaminations, when observed within the oxide layer, can only be explained by the presence of a significant stress gradient in the coating, governed by these thermal circumstances. Two extreme cool-down scenarios are envisaged. In one, the surface is cooled suddenly to a lower temperature, followed by slow uniform cooling. In the other, the entire system reduces its temperature uniformly before the temperature gradient in the TBC is eliminated. Criteria for guarding against delaminations within the oxide layer and along the interface with the substrate are provided and the outcome visualized in the form of delamination maps. A comparison with engine experience provides a preliminary assessment of the relevant thermal scenarios, as well as pathways for continuing research.