{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:51:05Z","timestamp":1753887065175,"version":"3.41.2"},"reference-count":30,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,5,22]],"date-time":"2018-05-22T00:00:00Z","timestamp":1526947200000},"content-version":"vor","delay-in-days":141,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Foundation for Exploring Scientific Instrument of China","award":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"],"award-info":[{"award-number":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"]}]},{"name":"Tianjin Science and Technology Committee for Science and Technology Development Strategy Research Project","award":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"],"award-info":[{"award-number":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"]}]},{"name":"Tianjin Science and Technology Commissioner Project","award":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"],"award-info":[{"award-number":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"]}]},{"name":"13th Five-Year Plan","award":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"],"award-info":[{"award-number":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"]}]},{"name":"Science Education Project in Tianjin City","award":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"],"award-info":[{"award-number":["2013YQ470767","15ZLZLZF00350","16JCTPJC53000","HE1017"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>Based on the boundary element method and the decentralized fuzzy inference algorithm, the thermal conductivity in the two\u2010dimensional unsteady\u2010state heat transfer system changing with the temperature is deduced. The more accurate inversion results are obtained by introducing the variable universe method. The concrete method is as follows: using experimental means to obtain the instantaneous temperature in the material or on the boundary, to determine the thermal conductivity of the material by solving the inversion problem. The boundary element method is used to calculate the regional boundary and internal temperature in the direct problem. With the inversion problem, the decentralized fuzzy inference algorithm is used to compensate for the initial guess of the thermal conductivity by using the difference between the temperature measurement and the temperature calculation. In the inversion problem, the influence of the initial guess of different thermal conductivities, different numbers of measuring points, and the existence of measurement errors on the results is discussed. The example calculation and analysis prove that, with different initial guesses, existence of measurement errors, and the number of boundary measurements decrease, the methods adopted in this paper still maintain good validity and accuracy.<\/jats:p>","DOI":"10.1155\/2018\/8783946","type":"journal-article","created":{"date-parts":[[2018,5,22]],"date-time":"2018-05-22T23:34:54Z","timestamp":1527032094000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Inversion of Thermal Conductivity in Two\u2010Dimensional Unsteady\u2010State Heat Transfer System Based on Boundary Element Method and Decentralized Fuzzy Inference"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2608-4946","authenticated-orcid":false,"given":"Shoubin","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaogang","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huangchao","family":"Jia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,5,22]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2861342"},{"volume-title":"Direct and Inverse Heat Conduction Problems Solving By the Boundary Element Method","year":"2007","author":"Sheng C.","key":"e_1_2_11_2_2"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijthermalsci.2017.03.016"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2013.12.073"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2015.01.082"},{"key":"e_1_2_11_6_2","first-page":"122","article-title":"Geometry estimation of furnace inner wall based on bem and decentralized fuzzy inference method","volume":"2","author":"Jiang S.","year":"2015","journal-title":"World journal of science and technology: ROAD"},{"key":"e_1_2_11_7_2","article-title":"Inverse heat transfer modeling applied to the estimation of the apparent thermal conductivity of an intumescent fire retardant paint","author":"Bozzoli F.","year":"2017","journal-title":"Experimental Thermal & Fluid Science"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1515\/jiip-2013-0084"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1515\/hf-2015-0019"},{"volume-title":"Development of Device for Measuring Thermal Conductivities","year":"2016","author":"Jingsheng Z.","key":"e_1_2_11_10_2"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/256726"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2008.11.015"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2011.12.002"},{"volume-title":"Inverse Analysis of Thermal Conductivities in Non-Homogeneous Heat Conductions Using Boundary Element Method","year":"2013","author":"Yu X.","key":"e_1_2_11_14_2"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1080\/17415977.2013.830614"},{"key":"e_1_2_11_16_2","first-page":"1341","article-title":"Identification of temperature-dependent thermal conductivity for 2-D transient heat conduction problems","volume":"12","author":"Zhou H.","year":"2014","journal-title":"Applied Mathematics and Mechanics"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0017-9310(00)00235-0"},{"key":"e_1_2_11_18_2","first-page":"23","article-title":"Solution of some inverse heat conduction problems by the dynamic programming filter and BEM","author":"Chen W.","year":"2002","journal-title":"Inverse Problems in Engineering Mechanics III"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2008.08.009"},{"key":"e_1_2_11_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2015.10.007"},{"key":"e_1_2_11_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10891-010-0319-1"},{"key":"e_1_2_11_22_2","first-page":"82","article-title":"Inversion of temperature-dependent thermal conductivity based on transient inverse heat conduction problems","volume":"32","author":"Miao C.","year":"2012","journal-title":"Proceedings of the CSEE"},{"key":"e_1_2_11_23_2","first-page":"377","article-title":"Estimation of temperature-dependent function of thermal conductivity for a material","volume":"28","author":"Tang Z.","year":"2011","journal-title":"Chinese Journal of Computational Mechanics"},{"volume-title":"Research on Inversion Algorithms of Thermo Physical Properties","year":"2015","author":"Lei C.","key":"e_1_2_11_24_2"},{"key":"e_1_2_11_25_2","unstructured":"RanW. 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