Homogenization of time dependent boundary conditions for multi-layer heat conduction problem in cylindrical polar coordinates

https://m2.mtmt.hu/ eng 2026-03-13 15:05 true true 1 2 2 20 100 1 2 DESC publishedYear false ASC firstAuthor true ASC title true JournalArticle 30567455 VALIDATED true 0 false 2021-08-30T16:22:58.744+0000 2019-03-09T07:34:03.806+0000 2019-03-09T14:04:01.371+0000 true 565 WoS import /api/admin/565 Admin import WoS (admin) true 2019-03-12T05:22:21.769+0000 2019-03-09T14:04:04.362+0000 true 565 WoS import /api/admin/565 Admin import WoS (admin) true false false true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Article (Journal Article) 101 true 10000059 true 1 /api/category/1 Category Scientific true 1 Biswas, Pranay Homogenization of time dependent boundary conditions for multi-layer heat conduction problem in cylindrical polar coordinates true true /api/journal/2045 REVIEWED INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 0017-9310 true false 2045 false 2045 true 0017-9310 Journal FOREIGN 129 721 734 721 14 2019 In eigenfunction based solutions for heat conduction problems, the inhomogeneous boundary conditions (BCs) and the eigenfunctions (corresponding to homogeneous BCs) are incompatible with each other at the boundaries. Therefore, homogenization of BCs is essential to avoid the abovementioned incompatibility. However, homogenization is usually quite tedious especially for time dependent BCs. The process becomes even more difficult for multi-dimensional multi-layer problems. These difficulties come from the fact that, in general, an auxiliary function (quasi-static part of temperature) needs to be subtracted from the temperature of each layer of the composite. This treatment yields a set of conditions on auxiliary functions. In this work it is demonstrated that these auxiliary functions are not unique and subsequently, two formulations of auxiliary function are proposed here for cylindrical polar (r, theta) coordinates. The second formulation leads to relatively simple computational procedure. The computational ease of the proposed methodology arises from the fact that auxiliary functions are defined only in the innermost and the outermost layers of the composite in this approach. The solutions of a few illustrative examples are obtained without homogenization as well as with homogenization (using two distinct approaches). The results without homogenization of BCs exhibits large mismatch near the boundaries, while such mismatch goes way in case of homogenized BCs. Moreover, the novel (second) approach proposed here for homogenization is easy to implement and efficient compared to the first formulation approach. (C) 2018 Published by Elsevier Ltd. 2019 true true true false false NONE 2021-08-30 false 0 0 0 0 0 0 0 0 0 0 0 0 3 3 D1 false false false false 2 5 0 3 0 true Language 10002 /api/language/10002 English Angol English true 2 true PersonAuthorship 86245087 /api/authorship/86245087 Biswas, Pranay 1 0.0 true false Biswas Pranay true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 86245088 /api/authorship/86245088 Singh, Suneet 2 0.0 false false Singh Suneet true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 86245089 /api/authorship/86245089 Bindra, Hitesh 3 0.0 false true Bindra Hitesh true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PublicationIdentifier 15443118 /api/publicationidentifier/15443118 DOI: 10.1016/j.ijheatmasstransfer.2018.10,036 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1016/j.ijheatmasstransfer.2018.10,036 https://doi.org/10.1016%2Fj.ijheatmasstransfer.2018.10%2C036 false true PublicationIdentifier 15443117 /api/publicationidentifier/15443117 WoS: 000453113500060 PlainSource 1 /api/publicationsource/1 WoS PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true WoS WoS http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=@@@&DestApp=WOS true true 1 true IDENTICAL 000453113500060 http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=000453113500060&DestApp=WOS false true Classification 10984 /api/classification/10984 Mechanical engineering true true Keyword 1092794 /api/keyword/1092794 Homogenization true 1092794 true Keyword 1251725 /api/keyword/1251725 Analytical solution true 1251725 true Keyword 1624300 /api/keyword/1624300 Auxiliary Function true true Keyword 1678509 /api/keyword/1678509 Multi-layer heat conduction true true Keyword 1678510 /api/keyword/1678510 Time dependent boundary conditions true true Keyword 1678511 /api/keyword/1678511 Finite integral transformation true true SjrRating 11001544 /api/sjrrating/11001544 sjr:D1 (2019) Scopus - Condensed Matter Physics INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 0017-9310 27 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 3104 /api/classificationexternal/3104 Scopus - Condensed Matter Physics true 3104 true D1 DIRECT true true /api/publication/30567455 Biswas Pranay et al. Homogenization of time dependent boundary conditions for multi-layer heat conduction problem in cylindrical polar coordinates. (2019) INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 0017-9310 129 721-734<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" >Biswas Pranay </span> ;    <span class="author-name" >Singh Suneet </span> ;    <span class="author-name" >Bindra Hitesh </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;30567455" target="_blank">Homogenization of time dependent boundary conditions for multi-layer heat conduction problem in cylindrical polar coordinates</a></div> <div> <span class="journal-title">INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0017-9310">0017-9310</a> )</span>: <span class="journal-volume">129</span> <span class="page"> pp 721-734 </span> <span class="year">(2019)</span> <br> </span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1016/j.ijheatmasstransfer.2018.10,036" target="_blank" href="https://doi.org/10.1016%2Fj.ijheatmasstransfer.2018.10%2C036"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000453113500060" target="_blank" href="http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=000453113500060&DestApp=WOS"> WoS </a> </span> </span> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;30567455&sort=publishedYear,desc&sort=title"> Number of cited publications: 3 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 30567455</span> | <span class="status-data status-VALIDATED"> Validated </span> Citing | <span class="type-subtype">Journal Article ( Article ) </span> | Scientific </span> | <span class="publication-sourceOfData">WoS XML</span> </div> <div class="lastModified">Last Modified: 2019.03.09. 08:34 import WoS (admin) </div> </div></div> JournalArticle 30380195 VALIDATED true Cited by: 3; All Open Access; Gold Open Access 0 false 2026-03-11T09:18:59.692+0000 2025-11-24T14:33:15.643+0000 2019-01-08T23:20:29.873+0000 true 10039657 Kmety Andrea /api/admin/10039657 Admin Andrea Kmety (MTA Energiatudományi, admin) true 10039657 2026-03-11T08:53:24.223+0000 2024-11-04T13:40:56.173+0000 true 10065569 Pécsi Éva /api/admin/10065569 Admin Éva Pécsi (MTMT Közp 2,3, admin) true Admin 10067876 /api/admin/10067876 Gusztáv Ladányi (MTMT API user, admin) Ladányi Gusztáv true true Admin 10044649 /api/admin/10044649 Zsuzsanna Tomcsányi (MTMT_KP_admin) Tomcsányi Zsuzsanna true 10044649 true 2024-10-17T16:26:30.285+0000 true false true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle true 1404735 Report true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle /api/subtype/1404735 Jelentés SubType Report (Journal Article) 112 true 1404735 true 1 /api/category/1 Category Scientific true 1 Charaf, H. 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BME VIK annual research report on electrical engineering and computer science 2016. (2017) PERIODICA POLYTECHNICA-ELECTRICAL ENGINEERING AND COMPUTER SCIENCE 2064-5260 2064-5279 61 2 83-115<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10000805"><a href="/gui2/?type=authors&mode=browse&sel=10000805" target="_blank">Charaf H. (<span class="authorship-author-name">Charaf Hassan</span> <span class="authorAux-mtmt"> Informatika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Automation and Applied Informatics</span> ;    <span class="author-name" mtid="10001230"><a href="/gui2/?type=authors&mode=browse&sel=10001230" target="_blank">Harsányi G. (<span class="authorship-author-name">Harsányi Gábor</span> <span class="authorAux-mtmt"> Elektronikai technológia</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Electronics Technology</span> ;    <span class="author-name" mtid="10001242"><a href="/gui2/?type=authors&mode=browse&sel=10001242" target="_blank">Poppe A. (<span class="authorship-author-name">Poppe András</span> <span class="authorAux-mtmt"> Mikroelektronika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Electron Devices</span> ;    <span class="author-name" mtid="10001039"><a href="/gui2/?type=authors&mode=browse&sel=10001039" target="_blank">Imre S. (<span class="authorship-author-name">Imre Sándor</span> <span class="authorAux-mtmt"> Távközlés, informatika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Networked Systems and Services</span> ;    <span class="author-name" mtid="10000759"><a href="/gui2/?type=authors&mode=browse&sel=10000759" target="_blank">Kiss B. (<span class="authorship-author-name">Kiss Bálint</span> <span class="authorAux-mtmt"> Irányítástechnika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Control Engineering and Information Technology</span> ;    <span class="author-name" mtid="10000656"><a href="/gui2/?type=authors&mode=browse&sel=10000656" target="_blank">Dabóczi T. (<span class="authorship-author-name">Dabóczi Tamás</span> <span class="authorAux-mtmt"> Digitális jelfeldolgozás, beágyazott rendszerek</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Measurement and Information Systems</span> ;    <span class="author-name" mtid="10010571"><a href="/gui2/?type=authors&mode=browse&sel=10010571" target="_blank">Katona G. (<span class="authorship-author-name">Katona Gyula Y.</span> <span class="authorAux-mtmt"> gráfelmélet</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Computer Science and Information Theory</span> ;    <span class="author-name" mtid="10009131"><a href="/gui2/?type=authors&mode=browse&sel=10009131" target="_blank">Nagy L. (<span class="authorship-author-name">Nagy Lajos</span> <span class="authorAux-mtmt"> Antennák, hullámterjedés</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Broadband Infocommunications and Electromagnetic Theory</span> ;    <span class="author-name" mtid="10008581"><a href="/gui2/?type=authors&mode=browse&sel=10008581" target="_blank">Magyar G. (<span class="authorship-author-name">Magyar Gábor</span> <span class="authorAux-mtmt"> médiainformatika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Telecommunications and Media Informatics</span> ;    <span class="author-name" mtid="10035335"><a href="/gui2/?type=authors&mode=browse&sel=10035335" target="_blank">Kiss I. (<span class="authorship-author-name">Kiss István</span> <span class="authorAux-mtmt"> Elektrotechnika</span>) </a> </span> <span class="author-affil"><span title="Budapest University of Technology and Economics">BUTE</span>/<span title="Faculty of Electrical Engineering and Informatics">FEEI</span>/Department of Electric Power Engineering</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;30380195" target="_blank">BME VIK annual research report on electrical engineering and computer science 2016</a></div> <div> <span class="journal-title">PERIODICA POLYTECHNICA-ELECTRICAL ENGINEERING AND COMPUTER SCIENCE</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/2064-5260">2064-5260</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/2064-5279">2064-5279</a>)</span>: <span class="journal-volume">61</span> <span class="journal-issue">2</span> <span class="page"> pp 83-115 </span> <span class="year">(2017)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="10.3311/PPee.11067" target="_blank" href="https://doi.org/10.3311/PPee.11067"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85019755445" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019755445"> Scopus </a> </span> <span class="id identifier oa_GOLD" title=" Gold "> <a style="color:blue" title="https://pp.bme.hu/eecs/article/view/11067/7375" target="_blank" href="https://pp.bme.hu/eecs/article/view/11067/7375"> Full text </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://search.proquest.com/docview/1906416259?pq-origsite=gscholar" target="_blank" href="https://search.proquest.com/docview/1906416259?pq-origsite=gscholar"> Other URL </a> </span> <span class="id identifier oa_NONE" title=" None "> <a style="color:blue" title="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85019755445&doi=10.3311%2FPPee.11067&partnerID=40&md5=0ba3cca7b9c7de883c47205120888990" target="_blank" href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85019755445&doi=10.3311%2FPPee.11067&partnerID=40&md5=0ba3cca7b9c7de883c47205120888990"> Other URL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="https://pp.bme.hu/eecs/article/view/11067" target="_blank" href="https://pp.bme.hu/eecs/article/view/11067"> Other URL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="7158378630520532636" target="_blank" href="http://scholar.Google.com/scholar?hl=en&lr=&cluster=7158378630520532636"> Google scholar </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 3</span> | Independent citation: 3 | Self citation: 0 | Unknown citation: 0 | Number of citations in WoS: 2 | Number of citations in Scopus: 3 | WoS/Scopus assigned: 3 | Number of citations with DOI: 3 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;30380195&sort=publishedYear,desc&sort=title"> Number of cited publications: 175 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 30380195</span> | <span class="status-data status-VALIDATED"> Validated </span> Core Citing | <span class="type-subtype">Journal Article ( Report ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">Scopus (scopus (3).ris, 2019-01-09)</span> </div> <div class="lastModified">Last Modified: 2025.11.24. 15:33 Fruzsina Háromszéki-Virág (MTMT Központi admin) </div> <div class="lockedBy">Centrally managed 2024.10.17. 18:26 Gusztáv Ladányi (MTMT API user, admin) Zsuzsanna Tomcsányi (MTMT_KP_admin) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Comments</u>: Cited by: 3; All Open Access; Gold Open Access</pre> </div></div>