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Article: Entropy generation and mathematical inequalities
Title | Entropy generation and mathematical inequalities |
---|---|
Authors | |
Keywords | Entropy Generation Heat Conduction Mathematical Inequalities Second Law of Thermodynamics |
Issue Date | 2018 |
Publisher | International ASET Inc. |
Citation | Proceedings of the 5th International Conference of Fluid Flow, Heat and Mass Transfer (FFHMT'18), Niagara Falls, Canada, 7-9 June 2018, p. 113:1-10 How to Cite? |
Abstract | In this paper, 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 spheres. 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 sphere. 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. |
Description | Paper No. 113 |
Persistent Identifier | http://hdl.handle.net/10722/274141 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Tian, X | - |
dc.contributor.author | Wang, L | - |
dc.date.accessioned | 2019-08-18T14:55:53Z | - |
dc.date.available | 2019-08-18T14:55:53Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Proceedings of the 5th International Conference of Fluid Flow, Heat and Mass Transfer (FFHMT'18), Niagara Falls, Canada, 7-9 June 2018, p. 113:1-10 | - |
dc.identifier.isbn | 978-1-927877-44-9 | - |
dc.identifier.uri | http://hdl.handle.net/10722/274141 | - |
dc.description | Paper No. 113 | - |
dc.description.abstract | In this paper, 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 spheres. 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 sphere. 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 | International ASET Inc. | - |
dc.relation.ispartof | Proceedings of the 5th International Conference of Fluid Flow, Heat and Mass Transfer (FFHMT'18) | - |
dc.subject | Entropy Generation | - |
dc.subject | Heat Conduction | - |
dc.subject | Mathematical Inequalities | - |
dc.subject | Second Law of Thermodynamics | - |
dc.title | 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_OA_fulltext | - |
dc.identifier.doi | 10.11159/ffhmt18.113 | - |
dc.identifier.scopus | eid_2-s2.0-85078526132 | - |
dc.identifier.hkuros | 302072 | - |
dc.identifier.spage | 113:1 | - |
dc.identifier.epage | 10 | - |
dc.publisher.place | Canada | - |