Inverse analysis of heat conduction problems with relatively long heat treatment
•A hybrid technique for 1D IHCPs with relatively long time is proposed.•The mathematical process need not divide into several sub-time intervals.•Temperature and heat flux with entire time and space domains can be obtained. This paper proposes a solution method for one-dimensional inverse heat condu...
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| Veröffentlicht in: | International journal of heat and mass transfer 2017-02, Vol.105, p.401-410 |
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| container_title | International journal of heat and mass transfer |
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| creator | Lee, Sen-Yung Yan, Qian-Zhi |
| description | •A hybrid technique for 1D IHCPs with relatively long time is proposed.•The mathematical process need not divide into several sub-time intervals.•Temperature and heat flux with entire time and space domains can be obtained.
This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses. |
| doi_str_mv | 10.1016/j.ijheatmasstransfer.2016.10.003 |
| format | Article |
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This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses.</description><identifier>ISSN: 0017-9310</identifier><identifier>EISSN: 1879-2189</identifier><identifier>DOI: 10.1016/j.ijheatmasstransfer.2016.10.003</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Conduction heating ; Conductive heat transfer ; Half-range expansions ; Heat conductivity ; Heat treating ; Heat treatment ; Inverse heat conduction ; Inverse problems ; Laser beam heating ; Laser cooling ; Least-squares method ; Numerical analysis ; Shifting function method ; Spray cooling ; Thermal expansion</subject><ispartof>International journal of heat and mass transfer, 2017-02, Vol.105, p.401-410</ispartof><rights>2016 Elsevier Ltd</rights><rights>Copyright Elsevier BV Feb 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c370t-4b3d0684c9d11caf36435bd7d5781d23f001aa0c1f0539c937cd4c9df22b06813</citedby><cites>FETCH-LOGICAL-c370t-4b3d0684c9d11caf36435bd7d5781d23f001aa0c1f0539c937cd4c9df22b06813</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.10.003$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Lee, Sen-Yung</creatorcontrib><creatorcontrib>Yan, Qian-Zhi</creatorcontrib><title>Inverse analysis of heat conduction problems with relatively long heat treatment</title><title>International journal of heat and mass transfer</title><description>•A hybrid technique for 1D IHCPs with relatively long time is proposed.•The mathematical process need not divide into several sub-time intervals.•Temperature and heat flux with entire time and space domains can be obtained.
This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses.</description><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>Half-range expansions</subject><subject>Heat conductivity</subject><subject>Heat treating</subject><subject>Heat treatment</subject><subject>Inverse heat conduction</subject><subject>Inverse problems</subject><subject>Laser beam heating</subject><subject>Laser cooling</subject><subject>Least-squares method</subject><subject>Numerical analysis</subject><subject>Shifting function method</subject><subject>Spray cooling</subject><subject>Thermal expansion</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNqNkEtLAzEUhYMoWKv_IeDGzYzJZJ47pfioFHSh65DJw2aYJjVJK_PvTRh3blxdLue7h3MPADcY5Rjh-nbI9bCVLOyY98Ex45V0eRGVKOcIkROwwG3TZQVuu1OwQAg3WUcwOgcX3g9pRWW9AG9rc5TOS8gMGyevPbQKJl_IrREHHrQ1cO9sP8qdh986bKGTIwv6KMcJjtZ8znRwKYs04RKcKTZ6efU7l-Dj8eF99ZxtXp_Wq_tNxkmDQlb2RKC6LXknMOZMkbokVS8aUTUtFgVRMSFjiGOFKtLxjjRcJFgVRR_vMFmC69k3hvs6SB_oYA8uPuEp7khb1UWNE3U3U9xZ751UdO_0jrmJYkRTj3Sgf3ukqcdExB6jxctsIeM3Rx1Vz7U0XArtJA9UWP1_sx_dFYlU</recordid><startdate>201702</startdate><enddate>201702</enddate><creator>Lee, Sen-Yung</creator><creator>Yan, Qian-Zhi</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>201702</creationdate><title>Inverse analysis of heat conduction problems with relatively long heat treatment</title><author>Lee, Sen-Yung ; Yan, Qian-Zhi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-4b3d0684c9d11caf36435bd7d5781d23f001aa0c1f0539c937cd4c9df22b06813</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Conduction heating</topic><topic>Conductive heat transfer</topic><topic>Half-range expansions</topic><topic>Heat conductivity</topic><topic>Heat treating</topic><topic>Heat treatment</topic><topic>Inverse heat conduction</topic><topic>Inverse problems</topic><topic>Laser beam heating</topic><topic>Laser cooling</topic><topic>Least-squares method</topic><topic>Numerical analysis</topic><topic>Shifting function method</topic><topic>Spray cooling</topic><topic>Thermal expansion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Sen-Yung</creatorcontrib><creatorcontrib>Yan, Qian-Zhi</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of heat and mass transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, Sen-Yung</au><au>Yan, Qian-Zhi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Inverse analysis of heat conduction problems with relatively long heat treatment</atitle><jtitle>International journal of heat and mass transfer</jtitle><date>2017-02</date><risdate>2017</risdate><volume>105</volume><spage>401</spage><epage>410</epage><pages>401-410</pages><issn>0017-9310</issn><eissn>1879-2189</eissn><abstract>•A hybrid technique for 1D IHCPs with relatively long time is proposed.•The mathematical process need not divide into several sub-time intervals.•Temperature and heat flux with entire time and space domains can be obtained.
This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijheatmasstransfer.2016.10.003</doi><tpages>10</tpages></addata></record> |
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| ispartof | International journal of heat and mass transfer, 2017-02, Vol.105, p.401-410 |
| issn | 0017-9310 1879-2189 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Conduction heating Conductive heat transfer Half-range expansions Heat conductivity Heat treating Heat treatment Inverse heat conduction Inverse problems Laser beam heating Laser cooling Least-squares method Numerical analysis Shifting function method Spray cooling Thermal expansion |
| title | Inverse analysis of heat conduction problems with relatively long heat treatment |
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