Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall
Inspired by the natural bifurcating structures, tree-like microchannels have been applied for microelectronics cooling. In order to understand the thermal-hydraulic performance of a flat-plat tree-like microchannel, successive branching ratios of tree-like structure are optimized based on minimizati...
Gespeichert in:
| Veröffentlicht in: | Engineering applications of computational fluid mechanics 2023-12, Vol.17 (1) |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 1 |
| container_start_page | |
| container_title | Engineering applications of computational fluid mechanics |
| container_volume | 17 |
| creator | Xu, Lianlian Xu, Yao Gu, Hailin Qiu, Shuxia Mujumdar, Arun S. Xu, Peng |
| description | Inspired by the natural bifurcating structures, tree-like microchannels have been applied for microelectronics cooling. In order to understand the thermal-hydraulic performance of a flat-plat tree-like microchannel, successive branching ratios of tree-like structure are optimized based on minimization of flow resistance. It is shown that the optimal successive diameter ratio of symmetrical and dichotomous structures under volume constraint follows Murray's law, while the optimal successive length ratio under the constraint of fixed channel area follows the power law 2
−2/3
. A mathematical model of convection in disc-shaped heat sink composed of a tree-like microchannel with self-affine rough surface is developed by the fractal geometry and finite element method. The flat-plate tree-like micro-channel with optimal successive diameter and length ratio shows enhanced thermal-hydraulic performance. The Nusselt number of the flat-plat tree-like micro-channel increases with the inlet Reynolds number and the self-affine fractal dimension of the rough wall. The present optimization method and mathematical model for the flat-plate tree-like microchannel shed light on the design of flat-plate micro-channel heat sinks and flow channel in fuel cell among other potential cooling applications. |
| doi_str_mv | 10.1080/19942060.2022.2153174 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1080_19942060_2022_2153174</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_751e39b11b3d43c8a3e9a0eb901e2644</doaj_id><sourcerecordid>2917562757</sourcerecordid><originalsourceid>FETCH-LOGICAL-c451t-77f43232762e5a8bda1b8b76af5337324a43fa4cd8001b0279872e82325825933</originalsourceid><addsrcrecordid>eNp9UU1r3DAUNKWFhjQ_oSDI2Vt9WvatJbRNINBLCr2JZ_kpVqK1tpLMsv--2t2kx1yeHsPMPDHTNJ8Z3TDa0y9sGCSnHd1wyvmGMyWYlu-ai4rrllLx5_1pl-2R9LG5ytmPVFEtWOVdNOVhxrSF0M6HKcEavCU7TC5WbLFIoiMuQGl3dSDZepuinWFZMJC9LzNxCWyBQEpCbIN_RpJLWm1ZExJYJpIxuBac8wuSFNfHmewhhE_NBwch49XLe9n8_vH94ea2vf_18-7m231rpWKl1dpJwQXXHUcF_TgBG_tRd-CUEFpwCVI4kHbqKWUj5XroNce-KlTP1SDEZXN39p0iPJld8ltIBxPBmxMQ06OBVLwNaLRiKIaRsVFMUtgeBA5AcRwoQ95JWb2uz167FP-umIt5imta6vcNH5hWHddKV5Y6s2pQOSd0_68yao59mde-zLEv89JX1X096_xyyn4fU5hMgUOIqWa8WJ-NeNviH2qMm9Q</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2917562757</pqid></control><display><type>article</type><title>Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall</title><source>Taylor & Francis Open Access</source><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Xu, Lianlian ; Xu, Yao ; Gu, Hailin ; Qiu, Shuxia ; Mujumdar, Arun S. ; Xu, Peng</creator><creatorcontrib>Xu, Lianlian ; Xu, Yao ; Gu, Hailin ; Qiu, Shuxia ; Mujumdar, Arun S. ; Xu, Peng</creatorcontrib><description>Inspired by the natural bifurcating structures, tree-like microchannels have been applied for microelectronics cooling. In order to understand the thermal-hydraulic performance of a flat-plat tree-like microchannel, successive branching ratios of tree-like structure are optimized based on minimization of flow resistance. It is shown that the optimal successive diameter ratio of symmetrical and dichotomous structures under volume constraint follows Murray's law, while the optimal successive length ratio under the constraint of fixed channel area follows the power law 2
−2/3
. A mathematical model of convection in disc-shaped heat sink composed of a tree-like microchannel with self-affine rough surface is developed by the fractal geometry and finite element method. The flat-plate tree-like micro-channel with optimal successive diameter and length ratio shows enhanced thermal-hydraulic performance. The Nusselt number of the flat-plat tree-like micro-channel increases with the inlet Reynolds number and the self-affine fractal dimension of the rough wall. The present optimization method and mathematical model for the flat-plate tree-like microchannel shed light on the design of flat-plate micro-channel heat sinks and flow channel in fuel cell among other potential cooling applications.</description><identifier>ISSN: 1994-2060</identifier><identifier>EISSN: 1997-003X</identifier><identifier>DOI: 10.1080/19942060.2022.2153174</identifier><language>eng</language><publisher>Hong Kong: Taylor & Francis</publisher><subject>Cooling ; Diameters ; Finite element method ; Flow resistance ; Fluid flow ; fractal ; Fractal geometry ; Fractals ; Fuel cells ; Heat sinks ; Hydraulics ; Mathematical analysis ; Mathematical models ; microchannel ; Microchannels ; Murray's law ; Optimization ; Reynolds number ; rough wall ; thermal-hydraulic performance ; Tree-like network</subject><ispartof>Engineering applications of computational fluid mechanics, 2023-12, Vol.17 (1)</ispartof><rights>2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group 2022</rights><rights>2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c451t-77f43232762e5a8bda1b8b76af5337324a43fa4cd8001b0279872e82325825933</citedby><cites>FETCH-LOGICAL-c451t-77f43232762e5a8bda1b8b76af5337324a43fa4cd8001b0279872e82325825933</cites><orcidid>0000-0002-4349-5627</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.tandfonline.com/doi/pdf/10.1080/19942060.2022.2153174$$EPDF$$P50$$Ginformaworld$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.tandfonline.com/doi/full/10.1080/19942060.2022.2153174$$EHTML$$P50$$Ginformaworld$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,2096,27479,27901,27902,59116,59117</link.rule.ids></links><search><creatorcontrib>Xu, Lianlian</creatorcontrib><creatorcontrib>Xu, Yao</creatorcontrib><creatorcontrib>Gu, Hailin</creatorcontrib><creatorcontrib>Qiu, Shuxia</creatorcontrib><creatorcontrib>Mujumdar, Arun S.</creatorcontrib><creatorcontrib>Xu, Peng</creatorcontrib><title>Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall</title><title>Engineering applications of computational fluid mechanics</title><description>Inspired by the natural bifurcating structures, tree-like microchannels have been applied for microelectronics cooling. In order to understand the thermal-hydraulic performance of a flat-plat tree-like microchannel, successive branching ratios of tree-like structure are optimized based on minimization of flow resistance. It is shown that the optimal successive diameter ratio of symmetrical and dichotomous structures under volume constraint follows Murray's law, while the optimal successive length ratio under the constraint of fixed channel area follows the power law 2
−2/3
. A mathematical model of convection in disc-shaped heat sink composed of a tree-like microchannel with self-affine rough surface is developed by the fractal geometry and finite element method. The flat-plate tree-like micro-channel with optimal successive diameter and length ratio shows enhanced thermal-hydraulic performance. The Nusselt number of the flat-plat tree-like micro-channel increases with the inlet Reynolds number and the self-affine fractal dimension of the rough wall. The present optimization method and mathematical model for the flat-plate tree-like microchannel shed light on the design of flat-plate micro-channel heat sinks and flow channel in fuel cell among other potential cooling applications.</description><subject>Cooling</subject><subject>Diameters</subject><subject>Finite element method</subject><subject>Flow resistance</subject><subject>Fluid flow</subject><subject>fractal</subject><subject>Fractal geometry</subject><subject>Fractals</subject><subject>Fuel cells</subject><subject>Heat sinks</subject><subject>Hydraulics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>microchannel</subject><subject>Microchannels</subject><subject>Murray's law</subject><subject>Optimization</subject><subject>Reynolds number</subject><subject>rough wall</subject><subject>thermal-hydraulic performance</subject><subject>Tree-like network</subject><issn>1994-2060</issn><issn>1997-003X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>0YH</sourceid><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><sourceid>DOA</sourceid><recordid>eNp9UU1r3DAUNKWFhjQ_oSDI2Vt9WvatJbRNINBLCr2JZ_kpVqK1tpLMsv--2t2kx1yeHsPMPDHTNJ8Z3TDa0y9sGCSnHd1wyvmGMyWYlu-ai4rrllLx5_1pl-2R9LG5ytmPVFEtWOVdNOVhxrSF0M6HKcEavCU7TC5WbLFIoiMuQGl3dSDZepuinWFZMJC9LzNxCWyBQEpCbIN_RpJLWm1ZExJYJpIxuBac8wuSFNfHmewhhE_NBwch49XLe9n8_vH94ea2vf_18-7m231rpWKl1dpJwQXXHUcF_TgBG_tRd-CUEFpwCVI4kHbqKWUj5XroNce-KlTP1SDEZXN39p0iPJld8ltIBxPBmxMQ06OBVLwNaLRiKIaRsVFMUtgeBA5AcRwoQ95JWb2uz167FP-umIt5imta6vcNH5hWHddKV5Y6s2pQOSd0_68yao59mde-zLEv89JX1X096_xyyn4fU5hMgUOIqWa8WJ-NeNviH2qMm9Q</recordid><startdate>20231231</startdate><enddate>20231231</enddate><creator>Xu, Lianlian</creator><creator>Xu, Yao</creator><creator>Gu, Hailin</creator><creator>Qiu, Shuxia</creator><creator>Mujumdar, Arun S.</creator><creator>Xu, Peng</creator><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><general>Taylor & Francis Group</general><scope>0YH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TC</scope><scope>7XB</scope><scope>8FD</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>KR7</scope><scope>M2O</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-4349-5627</orcidid></search><sort><creationdate>20231231</creationdate><title>Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall</title><author>Xu, Lianlian ; Xu, Yao ; Gu, Hailin ; Qiu, Shuxia ; Mujumdar, Arun S. ; Xu, Peng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c451t-77f43232762e5a8bda1b8b76af5337324a43fa4cd8001b0279872e82325825933</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Cooling</topic><topic>Diameters</topic><topic>Finite element method</topic><topic>Flow resistance</topic><topic>Fluid flow</topic><topic>fractal</topic><topic>Fractal geometry</topic><topic>Fractals</topic><topic>Fuel cells</topic><topic>Heat sinks</topic><topic>Hydraulics</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>microchannel</topic><topic>Microchannels</topic><topic>Murray's law</topic><topic>Optimization</topic><topic>Reynolds number</topic><topic>rough wall</topic><topic>thermal-hydraulic performance</topic><topic>Tree-like network</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Lianlian</creatorcontrib><creatorcontrib>Xu, Yao</creatorcontrib><creatorcontrib>Gu, Hailin</creatorcontrib><creatorcontrib>Qiu, Shuxia</creatorcontrib><creatorcontrib>Mujumdar, Arun S.</creatorcontrib><creatorcontrib>Xu, Peng</creatorcontrib><collection>Taylor & Francis Open Access</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Technology Research Database</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Civil Engineering Abstracts</collection><collection>Research Library</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Engineering applications of computational fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xu, Lianlian</au><au>Xu, Yao</au><au>Gu, Hailin</au><au>Qiu, Shuxia</au><au>Mujumdar, Arun S.</au><au>Xu, Peng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall</atitle><jtitle>Engineering applications of computational fluid mechanics</jtitle><date>2023-12-31</date><risdate>2023</risdate><volume>17</volume><issue>1</issue><issn>1994-2060</issn><eissn>1997-003X</eissn><abstract>Inspired by the natural bifurcating structures, tree-like microchannels have been applied for microelectronics cooling. In order to understand the thermal-hydraulic performance of a flat-plat tree-like microchannel, successive branching ratios of tree-like structure are optimized based on minimization of flow resistance. It is shown that the optimal successive diameter ratio of symmetrical and dichotomous structures under volume constraint follows Murray's law, while the optimal successive length ratio under the constraint of fixed channel area follows the power law 2
−2/3
. A mathematical model of convection in disc-shaped heat sink composed of a tree-like microchannel with self-affine rough surface is developed by the fractal geometry and finite element method. The flat-plate tree-like micro-channel with optimal successive diameter and length ratio shows enhanced thermal-hydraulic performance. The Nusselt number of the flat-plat tree-like micro-channel increases with the inlet Reynolds number and the self-affine fractal dimension of the rough wall. The present optimization method and mathematical model for the flat-plate tree-like microchannel shed light on the design of flat-plate micro-channel heat sinks and flow channel in fuel cell among other potential cooling applications.</abstract><cop>Hong Kong</cop><pub>Taylor & Francis</pub><doi>10.1080/19942060.2022.2153174</doi><orcidid>https://orcid.org/0000-0002-4349-5627</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1994-2060 |
| ispartof | Engineering applications of computational fluid mechanics, 2023-12, Vol.17 (1) |
| issn | 1994-2060 1997-003X |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_19942060_2022_2153174 |
| source | Taylor & Francis Open Access; DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Cooling Diameters Finite element method Flow resistance Fluid flow fractal Fractal geometry Fractals Fuel cells Heat sinks Hydraulics Mathematical analysis Mathematical models microchannel Microchannels Murray's law Optimization Reynolds number rough wall thermal-hydraulic performance Tree-like network |
| title | Thermal-hydraulic performance of flat-plate microchannel with fractal tree-like structure and self-affine rough wall |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T09%3A30%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Thermal-hydraulic%20performance%20of%20flat-plate%20microchannel%20with%20fractal%20tree-like%20structure%20and%20self-affine%20rough%20wall&rft.jtitle=Engineering%20applications%20of%20computational%20fluid%20mechanics&rft.au=Xu,%20Lianlian&rft.date=2023-12-31&rft.volume=17&rft.issue=1&rft.issn=1994-2060&rft.eissn=1997-003X&rft_id=info:doi/10.1080/19942060.2022.2153174&rft_dat=%3Cproquest_cross%3E2917562757%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2917562757&rft_id=info:pmid/&rft_doaj_id=oai_doaj_org_article_751e39b11b3d43c8a3e9a0eb901e2644&rfr_iscdi=true |