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- Publisher Website: 10.1016/j.ijheatmasstransfer.2018.01.055
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Article: Heat conduction in cylinders: Entropy generation and mathematical inequalities
Title | Heat conduction in cylinders: Entropy generation and mathematical inequalities |
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Authors | |
Keywords | Entropy generation Heat conduction Mathematical inequalities Second law of thermodynamics |
Issue Date | 2018 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt |
Citation | International Journal of Heat and Mass Transfer, 2018, v. 121, p. 1137-1145 How to Cite? |
Abstract | We examine the entropy generation regarding its magnitude and the limit as time tends to infinity and apply the second law of thermodynamics to develop mathematical inequalities with heat conduction in adiabatic cylinders. The former shows a bounded entropy generation if the heat conduction is initiated by the initial temperature distribution, but unbounded if the heat conduction involves a heat source with positive volume average over the cylinder. The latter yields various innovative relations that are useful both for studying differential equations and for examining accuracy of analytical, numerical and experimental results. The work not only builds up the relation between the second law of thermodynamics and mathematical inequalities, but also offers some fundamental insights of universe and our future. |
Persistent Identifier | http://hdl.handle.net/10722/273901 |
ISSN | 2023 Impact Factor: 5.0 2023 SCImago Journal Rankings: 1.224 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Tian, X | - |
dc.contributor.author | Wang, L | - |
dc.date.accessioned | 2019-08-18T14:50:57Z | - |
dc.date.available | 2019-08-18T14:50:57Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | International Journal of Heat and Mass Transfer, 2018, v. 121, p. 1137-1145 | - |
dc.identifier.issn | 0017-9310 | - |
dc.identifier.uri | http://hdl.handle.net/10722/273901 | - |
dc.description.abstract | We examine the entropy generation regarding its magnitude and the limit as time tends to infinity and apply the second law of thermodynamics to develop mathematical inequalities with heat conduction in adiabatic cylinders. The former shows a bounded entropy generation if the heat conduction is initiated by the initial temperature distribution, but unbounded if the heat conduction involves a heat source with positive volume average over the cylinder. The latter yields various innovative relations that are useful both for studying differential equations and for examining accuracy of analytical, numerical and experimental results. The work not only builds up the relation between the second law of thermodynamics and mathematical inequalities, but also offers some fundamental insights of universe and our future. | - |
dc.language | eng | - |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt | - |
dc.relation.ispartof | International Journal of Heat and Mass Transfer | - |
dc.subject | Entropy generation | - |
dc.subject | Heat conduction | - |
dc.subject | Mathematical inequalities | - |
dc.subject | Second law of thermodynamics | - |
dc.title | Heat conduction in cylinders: Entropy generation and mathematical inequalities | - |
dc.type | Article | - |
dc.identifier.email | Tian, X: tianxw@hku.hk | - |
dc.identifier.email | Wang, L: lqwang@hku.hk | - |
dc.identifier.authority | Wang, L=rp00184 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.ijheatmasstransfer.2018.01.055 | - |
dc.identifier.scopus | eid_2-s2.0-85041696771 | - |
dc.identifier.hkuros | 301679 | - |
dc.identifier.volume | 121 | - |
dc.identifier.spage | 1137 | - |
dc.identifier.epage | 1145 | - |
dc.identifier.isi | WOS:000430030300098 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0017-9310 | - |