Efficient BEM Modeling of the Heat Transfer in the Turbine Blades of Aero-Parts

The modeling of the turbine blades in aero-parts presents difficulties in conventional domain solution techniques, especially when internal cooling air passages and a thermal barrier coating (TBC) are applied. This paper presents a very efficient 3D modeling of the anisotropic heat conduction in tur...

Full description

Saved in:
Bibliographic Details
Published inAerospace Vol. 10; no. 10; p. 885
Main Authors Hsiao, Yue-Fang, Shiah, Yui-Chuin
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2023
Subjects
Online AccessGet full text

Cover

Loading…
Abstract The modeling of the turbine blades in aero-parts presents difficulties in conventional domain solution techniques, especially when internal cooling air passages and a thermal barrier coating (TBC) are applied. This paper presents a very efficient 3D modeling of the anisotropic heat conduction in turbine blades with the boundary element method (BEM), where both the TBC and cooling air passages are considered. The BEM is very ideal for this modeling, since only boundary meshes are required for it; however, a serious problem of nearly singular integration will arise in modeling with coarse meshes. In this article, an efficient modeling and computational algorithm using the BEM is applied for the simulation of heat conduction in the turbine blades of aero-parts. The present work proposes a simplified BEM model to replace multiple thin coating layers on the top of the blade. In the end, the veracity of the implemented BEM code as well as its computational efficiency are illustrated with a few examples, showing that the settled temperature on the substrate can be reduced by 20% by employing a TBC. As compared to the analyses with ANSYS, the percentages of difference were within 2%, while the CPU time spent by the BEM algorithm was about 1/8 of that of ANSYS, not to mention the meshing efforts saved by adopting by a treatment of equivalent convection.
AbstractList The modeling of the turbine blades in aero-parts presents difficulties in conventional domain solution techniques, especially when internal cooling air passages and a thermal barrier coating (TBC) are applied. This paper presents a very efficient 3D modeling of the anisotropic heat conduction in turbine blades with the boundary element method (BEM), where both the TBC and cooling air passages are considered. The BEM is very ideal for this modeling, since only boundary meshes are required for it; however, a serious problem of nearly singular integration will arise in modeling with coarse meshes. In this article, an efficient modeling and computational algorithm using the BEM is applied for the simulation of heat conduction in the turbine blades of aero-parts. The present work proposes a simplified BEM model to replace multiple thin coating layers on the top of the blade. In the end, the veracity of the implemented BEM code as well as its computational efficiency are illustrated with a few examples, showing that the settled temperature on the substrate can be reduced by 20% by employing a TBC. As compared to the analyses with ANSYS, the percentages of difference were within 2%, while the CPU time spent by the BEM algorithm was about 1/8 of that of ANSYS, not to mention the meshing efforts saved by adopting by a treatment of equivalent convection.
Audience Academic
Author Shiah, Yui-Chuin
Hsiao, Yue-Fang
Author_xml – sequence: 1
  givenname: Yue-Fang
  surname: Hsiao
  fullname: Hsiao, Yue-Fang
– sequence: 2
  givenname: Yui-Chuin
  orcidid: 0000-0002-6016-1426
  surname: Shiah
  fullname: Shiah, Yui-Chuin
BookMark eNp9UU1rGzEUFCWFpGl-QG4LPW-qj9VKOjrBbQIJ6cE9i7fSkyuzkVytfOi_rxKXEFqo3kFi3sxoYD6Qk5QTEnLJ6JUQhn4GLHnZg0NGGaVay3fkjHM-9oNg9OTN-5RcLMuOtmOY0FSekcd1CNFFTLW7Xj90D9njHNO2y6GrP7C7RajdpkBaApYuphdwcyhTTNhdz-BxeaauWoD-G5S6fCTvA8wLXvy5z8n3L-vNzW1___j17mZ137uBs9oH590kBYbJS-7ZxMQYJEyAI_eDcU5OYeRUtbXxTiuASaIGroznA0jGxDm5O_r6DDu7L_EJyi-bIdoXIJetbXGim9FqrbwbqdBC4qBGCigkm0alvaFOmNC8Ph299iX_POBS7S4fSmrxLdeac0kHoRrr6sjaQjONKeRawLXx-BRdKyTEhq-UYoZRw8cmYEeBa-0sBcNrTEbtc2_2n96aRv2lcbFCjTm1z-L8H-VvE4egFw
CitedBy_id crossref_primary_10_32604_cmc_2025_060067
crossref_primary_10_1016_j_enganabound_2024_106005
crossref_primary_10_1038_s41598_024_74950_z
Cites_doi 10.1016/j.enganabound.2020.11.013
10.1017/jmech.2018.47
10.1016/j.csite.2022.101876
10.1016/S0142-727X(99)00018-1
10.1016/j.enganabound.2010.03.014
10.1080/01457630903425320
10.1016/j.compstruc.2007.10.002
10.1017/jmech.2012.140
10.1016/j.enganabound.2004.12.013
10.1016/j.mtcomm.2023.105699
10.1002/nme.2229
10.3390/aerospace9060321
10.1115/1.3239805
10.1016/j.cam.2011.03.012
10.2514/6.1994-1981
10.1016/j.ijheatmasstransfer.2022.122715
ContentType Journal Article
Copyright COPYRIGHT 2023 MDPI AG
2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: COPYRIGHT 2023 MDPI AG
– notice: 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
7TB
7TG
8FD
8FE
8FG
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
BHPHI
BKSAR
CCPQU
DWQXO
FR3
H8D
HCIFZ
KL.
L7M
P5Z
P62
PCBAR
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
DOA
DOI 10.3390/aerospace10100885
DatabaseName CrossRef
Mechanical & Transportation Engineering Abstracts
Meteorological & Geoastrophysical Abstracts
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
Natural Science Collection
Earth, Atmospheric & Aquatic Science
ProQuest One Community College
ProQuest Central Korea
Engineering Research Database
Aerospace Database
SciTech Premium Collection
Meteorological & Geoastrophysical Abstracts - Academic
Advanced Technologies Database with Aerospace
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Earth, Atmospheric & Aquatic Science Database
ProQuest Central Premium
ProQuest One Academic
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
Technology Collection
Technology Research Database
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
Earth, Atmospheric & Aquatic Science Collection
ProQuest Central
ProQuest One Applied & Life Sciences
Aerospace Database
Meteorological & Geoastrophysical Abstracts
Natural Science Collection
ProQuest Central Korea
ProQuest Central (New)
Advanced Technologies Database with Aerospace
Advanced Technologies & Aerospace Collection
ProQuest One Academic Eastern Edition
Earth, Atmospheric & Aquatic Science Database
ProQuest Technology Collection
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
Engineering Research Database
ProQuest One Academic
Meteorological & Geoastrophysical Abstracts - Academic
ProQuest One Academic (New)
DatabaseTitleList

CrossRef
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2226-4310
ExternalDocumentID oai_doaj_org_article_887dc603835e4760ae351b678d90c39f
A771910926
10_3390_aerospace10100885
GroupedDBID -~X
5VS
85S
8FE
8FG
8FH
AADQD
AAFWJ
AAYXX
ABPPZ
ACIWK
ADBBV
AFKRA
AFPKN
AFZYC
ALMA_UNASSIGNED_HOLDINGS
ARAPS
BCNDV
BENPR
BGLVJ
BHPHI
BKSAR
BQN
CCPQU
CITATION
GROUPED_DOAJ
HCIFZ
IAO
ITC
KQ8
LK5
M7R
MODMG
M~E
OK1
P62
PCBAR
PHGZM
PHGZT
PIMPY
PROAC
PMFND
7TB
7TG
8FD
ABUWG
AZQEC
DWQXO
FR3
H8D
KL.
L7M
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PUEGO
ID FETCH-LOGICAL-c421t-fcdcb53efbd52d1b136f5abae62d49cc5bf6207fbd9dc87aab5e8a279d24a5113
IEDL.DBID BENPR
ISSN 2226-4310
IngestDate Wed Aug 27 01:21:56 EDT 2025
Fri Jul 25 20:13:46 EDT 2025
Tue Jun 10 21:16:22 EDT 2025
Thu Apr 24 23:00:49 EDT 2025
Tue Jul 01 03:27:53 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 10
Language English
License https://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c421t-fcdcb53efbd52d1b136f5abae62d49cc5bf6207fbd9dc87aab5e8a279d24a5113
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-6016-1426
OpenAccessLink https://www.proquest.com/docview/2882250437?pq-origsite=%requestingapplication%
PQID 2882250437
PQPubID 2032442
ParticipantIDs doaj_primary_oai_doaj_org_article_887dc603835e4760ae351b678d90c39f
proquest_journals_2882250437
gale_infotracacademiconefile_A771910926
crossref_primary_10_3390_aerospace10100885
crossref_citationtrail_10_3390_aerospace10100885
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2023-10-01
PublicationDateYYYYMMDD 2023-10-01
PublicationDate_xml – month: 10
  year: 2023
  text: 2023-10-01
  day: 01
PublicationDecade 2020
PublicationPlace Basel
PublicationPlace_xml – name: Basel
PublicationTitle Aerospace
PublicationYear 2023
Publisher MDPI AG
Publisher_xml – name: MDPI AG
References Tuan (ref_16) 2019; 35
Scuderi (ref_8) 2007; 74
Zhou (ref_10) 2008; 86
Qin (ref_14) 2011; 235
Shiah (ref_15) 2015; 109–110
Shiah (ref_11) 2013; 29
Camci (ref_2) 1985; 107
Zhang (ref_9) 2010; 34
Shiah (ref_12) 2021; 123
Sunden (ref_1) 2010; 31
ref_3
ref_17
Pu (ref_7) 2022; 32
Chen (ref_13) 2005; 29
Iacovides (ref_4) 1999; 20
Vo (ref_5) 2022; 189
Wang (ref_6) 2023; 35
References_xml – volume: 123
  start-page: 36
  year: 2021
  ident: ref_12
  article-title: Three-dimensional analysis of heat conduction in anisotropic composites with thin adhesive/interstitial media by the boundary element method
  publication-title: Eng. Anal. Bound. Elem.
  doi: 10.1016/j.enganabound.2020.11.013
– volume: 35
  start-page: 225
  year: 2019
  ident: ref_16
  article-title: BEM Study of 3D Heat Conduction in Multiply Adjoined Anisotropic Media with Quadratic Domain Heat Generation
  publication-title: J. Mech.
  doi: 10.1017/jmech.2018.47
– volume: 32
  start-page: 101876
  year: 2022
  ident: ref_7
  article-title: Overall thermal performances of backward film cooling with simulated surface thermal barrier coatings at various walls
  publication-title: Case Stud. Therm. Eng.
  doi: 10.1016/j.csite.2022.101876
– volume: 20
  start-page: 320
  year: 1999
  ident: ref_4
  article-title: Recent progress in the computation of flow and heat transfer in internal cooling passages of turbine blades
  publication-title: Int. J. Heat Fluid Flow
  doi: 10.1016/S0142-727X(99)00018-1
– volume: 34
  start-page: 775
  year: 2010
  ident: ref_9
  article-title: Boundary element analysis of the thermal behaviour in thin-coated cutting tools
  publication-title: Eng. Anal. Bound. Elem.
  doi: 10.1016/j.enganabound.2010.03.014
– volume: 31
  start-page: 527
  year: 2010
  ident: ref_1
  article-title: Gas turbine blade tip heat transfer and cooling: A literature survey
  publication-title: Heat Transf. Eng.
  doi: 10.1080/01457630903425320
– volume: 86
  start-page: 1656
  year: 2008
  ident: ref_10
  article-title: Analytical integral algorithm applied to boundary layer effect and thin body effect in BEM for anisotropic potential problems
  publication-title: Comput. Struct.
  doi: 10.1016/j.compstruc.2007.10.002
– volume: 29
  start-page: 385
  year: 2013
  ident: ref_11
  article-title: Regularization of the boundary integrals in the BEM analysis of 3D potential problems
  publication-title: J. Mech.
  doi: 10.1017/jmech.2012.140
– volume: 29
  start-page: 513
  year: 2005
  ident: ref_13
  article-title: An advanced 3-D boundary element method for characterizations of composite materials
  publication-title: Eng. Anal. Bound. Elem.
  doi: 10.1016/j.enganabound.2004.12.013
– volume: 35
  start-page: 105699
  year: 2023
  ident: ref_6
  article-title: Analysis on thermal stress of optimized functionally graded coatings during thermal shock based on finite element simulation
  publication-title: Mater. Today Commun.
  doi: 10.1016/j.mtcomm.2023.105699
– volume: 74
  start-page: 1733
  year: 2007
  ident: ref_8
  article-title: On the computation of nearly singular integrals in 3D BEM collocation
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/nme.2229
– ident: ref_17
  doi: 10.3390/aerospace9060321
– volume: 107
  start-page: 1016
  year: 1985
  ident: ref_2
  article-title: Experimental heat transfer investigation around the film-cooled leading edge of a high-pressure gas turbine rotor blade
  publication-title: ASME J. Eng. Power
  doi: 10.1115/1.3239805
– volume: 109–110
  start-page: 15
  year: 2015
  ident: ref_15
  article-title: Boundary Element Analysis of Thin Anisotropic Structures by the Self-regularization Scheme
  publication-title: CMES-Comp. Model. Eng. Sci.
– volume: 235
  start-page: 4174
  year: 2011
  ident: ref_14
  article-title: A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
  publication-title: J. Comput. Anal. Appl.
  doi: 10.1016/j.cam.2011.03.012
– ident: ref_3
  doi: 10.2514/6.1994-1981
– volume: 189
  start-page: 122715
  year: 2022
  ident: ref_5
  article-title: Numerical study on the influence of coolant temperature, pressure, and thermal barrier coating thickness on heat transfer in high-pressure blades
  publication-title: Int. J. Heat Mass Transf.
  doi: 10.1016/j.ijheatmasstransfer.2022.122715
SSID ssj0000913805
Score 2.2615411
Snippet The modeling of the turbine blades in aero-parts presents difficulties in conventional domain solution techniques, especially when internal cooling air...
SourceID doaj
proquest
gale
crossref
SourceType Open Website
Aggregation Database
Enrichment Source
Index Database
StartPage 885
SubjectTerms 3D anisotropic heat conduction
Algorithms
Anisotropy
Boundary element method
Computational efficiency
Conduction heating
Conductive heat transfer
Cooling
Design
Efficiency
Finite volume method
Heat transfer
Integrals
Modelling
Protective coatings
Simulation
Substrates
Temperature
Thermal barrier coatings
Thermal cycling
Thin films
Three dimensional models
Turbine blades
Turbines
SummonAdditionalLinks – databaseName: DOAJ Directory of Open Access Journals
  dbid: DOA
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1La9wwEBYlp_RQmqYh22yLDoFAwUQPS5aOu2HDEsjjkIXchB4jKIRN2cf_z0j2hoXS9pKrLJvxaF6fLX1DyLmNKnmTZZNCIdU2LDRYN_MmaJAG2qB4Lh_0b-_0fNHePKmnvVZfZU9YTw_cK-4SnSBFzRBIKWg7zTxIxfG5JlkWpc0l-mLO2wNTNQZbLg1T_W9Mibj-0gNmHYShgDaIea_0Tt5LRJWv_29Ruaaa68_k01Aj0kkv2xH5AMsv5OMec-AxuZ9V6gfMGHQ6u6Wlo1k5V05fMsWKjs4xwtKahjKs6K9lHXzcrhAGA50--wTrMnWC0jYPqIP1V7K4nj1ezZuhN0ITW8E3TY4pBiUhh6RE4oFLnZUPHrRIrY1RhawF6_CyTdF03gcFxovOJtF6LLLkCTlYvizhlFCOecwGoSFyaE0OVnvODABH548t70aE7RTl4kAcXvpXPDsEEEW37g_djsjPt1t-96wZ_5o8Ldp_m1gIr-sAmoEbzMD9zwxG5KKsnStuicJFP5wuwFcsBFdu0nWITJkVekTGu-V1g7-unUCgUcncum_vIc0ZOSxt6ftNf2NysFlt4TsWL5vwo9rpK8TY60o
  priority: 102
  providerName: Directory of Open Access Journals
Title Efficient BEM Modeling of the Heat Transfer in the Turbine Blades of Aero-Parts
URI https://www.proquest.com/docview/2882250437
https://doaj.org/article/887dc603835e4760ae351b678d90c39f
Volume 10
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3fa1MxFA6ue9EH0alYnSUPA0G4LMm9yU2epJV2ZbA5ZIO9hfw4EWG0s-3-f0_StA7EvSa5kHtycr5zTpLvEHJigoxOp7aJPpNqa-Yb9Jt54xW0GjovecoJ_YtLNb_pzm_lbU24reu1yp1NLIY6LkPOkZ8KdAUL3Vb_9f53k6tG5dPVWkLjgByiCdZ6QA4n08urH_ssS2a91ExujzNbjO9PHSD6YDgKqIuIf7mG8iNAKrz9_7POBXJmr8jL6ivS8XZxX5NnsDgiLx4xCL4h36eFAgKRg06mFzRXNsvvy-kyUfTs6BwtLS1wlGBFfy1K4_XDCsNhoJM7F2Gdh45xts0VKtH6LbmZTa-_zZtaI6EJneCbJoUYvGwh-ShF5J63KknnHSgROxOC9EkJ1mO3iUH3znkJ2oneRNE5dLbad2SwWC7gPaEc8cx4oSBw6HTyRjnONABHIxA63g8J2wnKhkognutY3FkMJLJs7T-yHZIv-0_ut-wZTw2eZOnvB2bi69KwXP20dR9ZtIkxKIZxtYSuV8xBKzmqmY6GhdakIfmc187m7YmTC66-MsBfzERXdtz3GKEyI9SQHO-W19Z9u7Z_tezD090fyfNceH57re-YDDarB_iE7snGj8iBnp2NqiaOSpD_B01u5us
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LbxMxELZKOQAHxFMNtOADCAlpVdu79u4eUJVAQkqbwiGVejN-jBFSlZQkFeJP8RuZ2d2ESojeerW9K-94dr4Z2_MNY6_qoKOrUp5FT6TalfAZ-s0y8wbyCgqvZaIN_cmJGZ8Wn8702Rb7vc6FoWuVa5vYGOo4D7RHvq_QFWzotsqDix8ZVY2i09V1CY1WLY7g108M2ZbvDj_g-r5WajScvh9nXVWBLBRKrrIUYvA6h-SjVlF6mZuknXdgVCzqELRPRokSu-sYqtI5r6FyqqyjKhy6Jzm-9xa7XeSI5JSZPvq42dMhjs1K6PbwFPvFvgPEOgx-ATUf0ZYqNl-Bv6ZKwP-woAG40QN2v_NMeb9VpYdsC2aP2L0rfIWP2edhQziBOMUHwwmnOmqUzc7niaMfycdo13kDfgkW_PusaZxeLjD4Bj44dxGWNLSPs82-oMoun7DTG5HdU7Y9m89gh3GJ6Fl7ZSBIKKrka-OkqAAkmpxQyLLHxFpQNnR05VQ149xi2EKytf_Itsfebh65aLk6rhs8IOlvBhLNdtMwX3yz3V9r0QLHYARG8RqK0ggHuZao1FWsRcjr1GNvaO0sGQOcXHBdTgN-ItFq2X5ZYjwsamV6bHe9vLazEkv7V6efXd_9kt0ZTyfH9vjw5Og5u0sl79sLhbtse7W4hD10jFb-RaONnH29afX_A8fsI6E
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LbxMxEB6VVEJwQDzVQAEfQEhIq9jetXd9QCihiVJKQ4RaqTfjJ0KqkpKkQvw1fh3jfYRKiN569WPlHY_nm_HjG4BXyglvqphn3iZS7YraDP1mllkZ8ioUVrCYNvSPZ3J6Wnw8E2c78Lt7C5OuVXY2sTbUfunSHvmAoytY022Vg9hei5gfTN5f_MhSBql00tql02hU5Cj8-onh2_rd4QHO9WvOJ-OTD9OszTCQuYKzTRadd1bkIVovuGeW5TIKY02Q3BfKOWGj5LTEauVdVRpjRagML5XnhUFXJcfv3oLdMkVFPdgdjWfzL9sdnsS4WVHRHKXmuaIDExD5MBQOuA4Qe1P-5itgWOcM-B8y1HA3uQ_3Wj-VDBvFegA7YfEQ7l5hL3wEn8c1_QSiFhmNj0nKqpbetpNlJOhVkilaeVJDYQwr8n1RF55crjAUD2R0bnxYp6ZDHG02RwVeP4bTG5HeE-gtlouwB4QhlirLZXAsFFW0ShpGqxAYGiBXsLIPtBOUdi15ecqhca4xiEmy1f_Itg9vt10uGuaO6xqPkvS3DRPpdl2wXH3T7RrWaI-9kxRjehGKUlITcsFQxSuvqMtV7MObNHc6mQYcnDPtCwf8xUSypYdlidExVVz2Yb-bXt3ajLX-q-FPr69-CbdR9fWnw9nRM7jD0etqbhfuQ2-zugzP0Uva2BetOhL4etMr4A_sOCkz
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Efficient+BEM+Modeling+of+the+Heat+Transfer+in+the+Turbine+Blades+of+Aero-Parts&rft.jtitle=Aerospace&rft.au=Yue-Fang%2C+Hsiao&rft.au=Yui-Chuin+Shiah&rft.date=2023-10-01&rft.pub=MDPI+AG&rft.eissn=2226-4310&rft.volume=10&rft.issue=10&rft.spage=885&rft_id=info:doi/10.3390%2Faerospace10100885&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2226-4310&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2226-4310&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2226-4310&client=summon