Introduction to Thermal Cloaking: Theory and Analysis in Conduction and Convection

264 Pages·2021·6.362 MB·English

by  Woon-Shing Yeung, Ruey-Jen Yang

Woon-Shing Yeung
Ruey-Jen Yang
Introduction
to Thermal
Cloaking
Theory and Analysis in Conduction and
Convection
Introduction to Thermal Cloaking
·
Woon-Shing Yeung Ruey-Jen Yang
Introduction to Thermal
Cloaking
Theory and Analysis in Conduction
and Convection
Woon-ShingYeung Ruey-JenYang
DepartmentofEngineeringScience DepartmentofEngineeringScience
NationalChengKungUniversity NationalChengKungUniversity
Tainan,Taiwan Tainan,Taiwan
MinistryofScienceandTechnology,Taiwan
ISBN978-981-16-7549-2 ISBN978-981-16-7550-8 (eBook)
https://doi.org/10.1007/978-981-16-7550-8
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SingaporePteLtd.2022
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EngineeringScienceatTaiwan’sNational
ChengKungUniversity.
Preface I
In a chance visit to the LinkedIn© website, I came across the name of a long-lost
classmate and friend of mine from the University of California, Berkeley: Dr. and
Chair Professor Ruey-Jen Yang (affectionately called RJ hereafter). RJ was just
startinghisthesisworkunderProf.MauriceHoltinBerkeley,whenIjustfinished
my Ph.D. studies at Berkeley (also under Prof. Holt), in 1979. The same year, in
thesummer,Prof.HoltaskedmetocomebacktoBerkeleyforashortpostdoctoral
appointment,workingwithRJonhisPh.D.thesisonturbulentboundarylayer.That
wasthestartofourfriendship.Weauthoredtwojournalpaperstogether,oneonthe
applicationoftheMethodofIntegralRelationstoturbulentboundarylayer(published
intheASMEJournalofAppliedMechanics)andanotheronwakeflows,presented
atthe9thInternationalMeetingonNumericalMethodsinFluidDynamicsinSaclay,
France.Intheyearsafter1979,RJandIhadonlyseeneachotheronceinLowell,
Massachusetts, where I taught. However, since the early 1980s, he and I had not
communicatedwitheachother.IdidknowsomehowthathehadreturnedtoTaiwan
topursueanacademiccareeralongtheway.FromtheLinkedIn© profile,Ilearned
thatRJisChairProfessorintheDepartmentofEngineeringScienceattheNational
ChengKungUniversityinTainan.Onthespurofthemoment,IsentamessagetoRJ
inquiringaboutanopportunitytovisitChengKungandengageinacademicactivities.
He replied right away, surprised at receiving my message, with some information
regardingtheapplicationsofacademicappointmentfromoverseasscholars.
EvenNationalChengKungUniversityhasastoryofhistoryforme.Backin1988,
whenIwascontemplatingasabbaticalleavefromUniversityofLowell,Iinitially
appliedforNationalChengKungUniversitybasedontherecommendationofone
ofmycolleagueswhowasanalumnusofChengKung.IsentmyrequesttoCheng
Kung,andthecontactthereforwardedmylettertoDr.Liang-JiFanoftheIndustrial
Technology Research Institute (ITRI) in Hsinchu. It so happened that one of my
students, Dr. Yew-Khoy Chuah, at Dartmouth (where I taught briefly for one year
afterBerkeley)workedunderDr.FaninITRI.Hesawmyname,andimmediately
contactedmewithanoffer.IendedupgoingtoITRIforoneyear.Fastforwardthirty
years,IreturnedtoChengKung.Lifehasitsownplan.
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viii PrefaceI
IamindebtedtoRJformakingthisvisitpossible.Mystayisinitiallysupportedby
agrantfromMOST(MinistryofScienceandTechnology)foraprojectconcerning
various aspects of thermal cloaking research, and later by the Higher Education
SproutProject,MinistryofEducation totheHeadquarters ofUniversityAdvance-
ment. Special thanks are also due to Stephanie, RJ’s wife, and Doris Liu, RJ’s
assistant,forhelpingmakemyarrivalandtransitiontoTainanassmoothaspossible.
Finally,Iamimmenselythankfulformywife,SylviaYeung;withouthersupport
for my selfish indulgence of taking up a foreign academic appointment, and her
sacrifice to attend to matters large and small at home, this book would have never
becomeareality.
Tainan,Taiwan Woon-ShingYeung
August2021
Preface II
Thermal cloaking has been an emerging field of engineering since early 2000,
inspiredbytheseminalworkofPendryetal.onelectromagneticcloakingpublished
in Science in 2006. Since then, the concept of Pendry et al. has been extended to
otherfieldsofphysics,includingthermalsciences.Muchoftheadvancesinthermal
cloakingispublishedinjournals.Duetospacelimitations,thepresentationinthese
journalarticlesisoftenabridged.Inaddition,asubstantialproportionofopenlitera-
tureonthermalcloakingisoftenauthoredbyresearcherswithaphysicsbackground,
owingtothefactthatthermalcloakingisextendedfromcloakingstudiesinelectro-
magnetism.Asaresult,mostanalysesandresultspresentedinthesejournalarticles
are quite mathematically taxing and abstract, and may not be easily understood
byseniorsorenteringgraduatestudentsinengineeringmajors.Thismotivatesour
writing:wewishtowriteatextbookonthermalcloakingwithdetailedexplanation
oftheunderlying theoreticalbasesleadingtotheprimarythermalcloaking results
in open literature, from an engineering perspective. Also, we want to present the
materialswithanemphasisontherelatedphysicalphenomenaandinterpretations,
to the extent that is possible. It is our hope that, through this book, engineering
students can grasp the fundamental ideas of thermal cloaking and the associated
mathematics,therebybetterequippingthemtoinitiatetheirownresearchandexplore
newideasinthermalcloaking.Asatextbookforagraduatecourseinadvancedtopics
in engineering sciences, we do not strive to be comprehensive in our undertaking;
we cover the two major branches of thermal cloaking: transformation thermody-
namicsandbilayertheory.Also,werestrictourselvestocloakingundertwomodes
ofheattransfer:conductionandconvection.Thus,wedonotclaimourbooktobea
generalreferencetothefieldofcloakingresearch,butinstead,auniquemonograph
specificallyaddressingthermalcloakingwithintheconfinesmentionedabove.
Thisbookisaculminationofstudyonthermalcloakingduringavisitingappoint-
mentattheNationalChengKungUniversity(NCKU)ofWSY,andismainlywritten
forenteringgraduateengineeringstudentswithabackgroundinfundamentalthermal
fluidsciencesandappliedmathematics,whoareinterestedinlearningorperforming
researchonthesubjectmatter.Mostofthematerialspresentedinthismonographare
availableinopenliterature;thisbookalsocontainsoriginalanalysesbytheauthors,
ix
x PrefaceII
inspired by published work in the literature. Cloaking under two modes of heat
transfer are covered: conduction and forced convection. Fundamental materials—
suchasgeneralcoordinatetransformation,heatconductioninanisotropicmaterials,
andporousmediatransportphenomena,whicharenecessaryfortheunderstanding
ofthephysicalconceptsofthermalcloaking—arealsopresented.Finally,wehope
this book will promote awareness in students that the acquisition of fundamental
understandingofanysubjectmatterisaprerequisitetotheirgraduateresearch.This
bookissuitableforathree-creditgraduatecourseinadvancedtopicsinengineering
sciences.
Tainan,Taiwan Woon-ShingYeung
Ruey-JenYang
Acknowledgements
ThewritingofthisbookissupportedbygrantsfromtheTaiwanMinistryofScience
and Technology (MOST) and the Higher Education Sprout Project, Ministry of
EducationtotheHeadquartersofUniversityAdvancementatNationalChengKung
University(NCKU),duringWSY’svisittoNCKU.TheCOMSOLcomputationfor
thetrilayercloakanalysiswasperformedbyMr.Fu-YaoYang,andthatforthebilayer
convection cloak analysis by Dr. Van-Phung Mai and Ms. Fu-Sui Hung; they also
generatedmanyofthefiguresinthisbook.Theircontributionsareverymuchappre-
ciated.Lastly,specialthankstoNeilYeung,whoreviewedthemanuscriptregarding
thewritingaspectsandhasprovidedmanyusefulcommentsandcorrectionsduring
thefinalproofreadingstage.
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