{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:52:30Z","timestamp":1760241150743,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,12,16]],"date-time":"2019-12-16T00:00:00Z","timestamp":1576454400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, non-Fourier heat conduction in a cylinder with non-homogeneous boundary conditions is analytically studied. A superposition approach combining with the solution structure theorems is used to get a solution for equation of hyperbolic heat conduction. In this solution, a complex origin problem is divided into, different, easier subproblems which can actually be integrated to take the solution of the first problem. The first problem is split into three sub-problems by setting the term of heat generation, the initial conditions, and the boundary condition with specified value in each sub-problem. This method provides a precise and convenient solution to the equation of non-Fourier heat conduction. The results show that at low times (t = 0.1) up to about r = 0.4, the contribution of T1 and T3 dominate compared to T2 contributing little to the overall temperature. But at r &gt; 0.4, all three temperature components will have the same role and less impact on the overall temperature (T).<\/jats:p>","DOI":"10.3390\/sym11121522","type":"journal-article","created":{"date-parts":[[2019,12,16]],"date-time":"2019-12-16T05:19:38Z","timestamp":1576473578000},"page":"1522","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Analytical Solution of Heat Conduction in a Symmetrical Cylinder Using the Solution Structure Theorem and Superposition Technique"],"prefix":"10.3390","volume":"11","author":[{"given":"Rasool","family":"Kalbasi","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran"}]},{"given":"Seyed Mohammadhadi","family":"Alaeddin","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Isfahan, Isfahan, Iran"}]},{"given":"Mohammad","family":"Akbari","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4841-650X","authenticated-orcid":false,"given":"Masoud","family":"Afrand","sequence":"additional","affiliation":[{"name":"Laboratory of Magnetism and Magnetic Materials, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam"},{"name":"Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1109\/JQE.1972.1076937","article-title":"High-intensity laser-induced vaporization and explosion of solid material","volume":"8","author":"Dabby","year":"1972","journal-title":"IEEE J. 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