Dielectric characterization of biodegradable wastes during pyrolysis
Abstract
The research leading to these results has received funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration under grant agreement n° 311815 (SYNPOL project). D.B. also acknowledges the financial support received from PCTI and FICYT of the Government of the Principado de Asturias
Full text
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Dielec ic cha ac e iza ion o biodeg adable was es 1
du ing py olysis 2
D. Bene oso1, A. Albe o-O iz2, J. Monzó-Cab e a2, A. Díaz-Mo cillo2, A. 3
A enillas1, J.A. Menéndez1* 4
1Ins i u o Nacional del Ca bón, CSIC, Apa ado 73, 33080 O iedo, Spain 5
2Depa men o Communica ion and In o ma ion Technologies, Technical 6
Uni e si y o Ca agena, Ca agena, Spain 7
Co esponding au ho : Tel.: +34 985 119090 8
E-mail add ess: [email p o ec ed] 9
10
Abs ac 11
The lack o dielec ic p ope ies da a has o en been named as one o he 12
easons ha has hampe ed he simula ion o mic owa e p ocessing o 13
biomass eeds ock and p ocess design. In his wo k, he dielec ic beha io 14
o an o ganic ac ion om municipal solid was es du ing py olysis has been 15
moni o ed as a unc ion o empe a u e. Fu he mo e, he e ec o he 16
addi ion o a mic owa e abso ben ma e ial (ca bonaceous cha ) o he aw 17
biowas e upon he dielec ic p ope ies has been in es iga ed o he i s 18
ime. 19
The e iciency o he con e sion o mic owa e ene gy o hea , measu ed by 20
means o he an δ pa ame e , is shown in his s udy o be nea ly 20 imes 21
highe when he abso ben cha is added o he eac ion bulk a oom 22
empe a u e and his gap is e en g ea e in he 600 – 800 ºC ange. 23
Ne e heless, he esul s sugges ha he addi ion o inc easing amoun s o 24
mic owa e abso ben (up o ca. 40%) impai s mic owa e pene a ion, which 25
gi es ise o a less homogeneous hea ing o he bulk. The e is he e o e an 26
op imum p opo ion ha balances hea con e sion and pene a ion dep h. 27
The esul s o his s udy lend suppo o he use o cha as a means o 28
induce he mochemical ea men s by mic owa es and educe ene gy 29
consump ion in he p ocess. 30
31
Keywo ds: Dielec ic p ope ies, Mic owa e py olysis, Biomass py olysis, 32
Mic owa e hea ing modeling, Mic owa e abso ben 33
34
2
1. In oduc ion 1
On a e age, e e y one o he mo e han 500 million people li ing in he 2
Eu opean Union (EU) h ows away a ound hal a on o household ubbish a 3
yea . This is on op o he huge amoun o was e gene a ed om ac i i ies 4
such as manu ac u ing (360 million ons) and cons uc ion (900 million 5
ons), while he supply o wa e and he p oduc ion o use ul ene gy 6
gene a e ano he 95 million ons. Al oge he , he EU p oduces up o 3 7
billion ons o was e e e y yea [1]. A signi ican p opo ion o was e going 8
o land ill is o ganic ma e ial, (i.e. de i ed om bo h biomass and pe oleum 9
sou ces). The mochemical con e sion p ocesses, in ol ing py olysis and 10
gasi ica ion, can con e his was e a sou ce in o po en ially use ul 11
chemical eeds ocks and uels a e he emo al o he mo e eadily 12
ecyclable ma e ials, such as me als, glass, e c. 13
14
A numbe o p ocesses a e now unde de elopmen o a e a he 15
demons a ion s age, whose aim is o p o ide mo e cos -e ec i e, 16
en i onmen ally and socially accep able al e na i es o incine a ion plan s. 17
One o hese new echnologies is mic owa e py olysis based on dielec ic 18
hea ing. This p ocess bene i s om he main ad an ages o using 19
mic owa es, such as apid, olume ic and selec i e hea ing, and a oids he 20
need o sh ed he eeds ock and o p e-d y he samples, esul ing in a 21
subs an ial educ ion in he cos s associa ed wi h hese s eps [2-5]. In spi e 22
o hese ad an ages, his echnology has no ye eached indus ial scale 23
3
owing o he lack o economic analyses on a la ge scale and he absence o 1
su icien da a o quan i y he dielec ic p ope ies o he inpu eeds ocks. 2
3
The p ope y ha de e mines he dielec ic esponse o ma e ial unde he 4
in luence o an elec ic ield is he ela i e complex pe mi i i y, ε*, which is 5
exp essed as a unc ion o a eal componen known as he dielec ic cons an 6
(which ep esen s he abili y o dielec ics o s o e elec ical ene gy) and an 7
imagina y componen known as he dielec ic loss ac o (which ep esen s 8
he abili y o a ma e ial o abso b he elec ic ene gy): 9
10
11
12
whe e and ε’ and ε’’ a e he dielec ic cons an and he dielec ic loss 13
ac o ela i e o he co esponding dielec ic p ope ies o ee space. 14
15
An es ima ion o hese p ope ies is essen ial o he e ec i e design and 16
scaling up o mic owa e hea ing p ocesses o ensu e an accu a e p edic ion 17
o he abso bed powe densi y; i.e. he a e a which he elec omagne ic 18
ene gy is con e ed o hea in he ma e ial. Dielec ic p ope ies may a y 19
wi h composi ion, equency, empe a u e and e en ma e ial densi y [6] 20
and, he e o e, i is essen ial o cha ac e ize hei a ia ion in ela ion o 21
hose pa ame e s. 22
23
4
Se e al s udies ha e a emp ed o cha ac e ize he dielec ic p ope ies o 1
coal [7] and some kinds o biomass [8, 9] since i is known ha he dielec ic 2
loss o hese ma e ials a low empe a u es is negligible, making hem 3
anspa en o mic owa es. Howe e , when he subs a es a e subjec ed o 4
highe empe a u es (i.e. empe a u es highe han 600 ºC), he s uc u es 5
become essen ially cha , which is known o be a high mic owa e abso bing 6
ma e ial due o he Maxwell-Wagne e ec which causes a e y high 7
displacemen o π-elec ons on ca bonized s uc u es [10]. I is o his 8
eason ha di e en mic owa e ecep o ma e ials a e added o biomass 9
du ing mic owa e py olysis, so ha a high enough empe a u e is eached 10
o induce py olysis [11, 12]. Howe e , mos published s udies a e ocused 11
solely on he dependence o dielec ic p ope ies upon equency adia ion a 12
oom empe a u e [13-16] and igno e he need o a comp ehensi e s udy o 13
he whole mic owa e py olysis p ocess. In o he wo ds, an in-dep h and 14
ex ensi e s udy o he dependence o dielec ic p ope ies on empe a u e is 15
needed o ob ain a be e unde s anding o he dielec ic esponse o o ganic 16
subs a es du ing mic owa e py olysis and o mixed o ganic subs a es 17
when used wi h mic owa e suscep o s. 18
This pape in es iga es he mic owa e abso p ion capabili y o a 19
biodeg adable was e and i s mix u e wi h mic owa e abso ben cha on he 20
basis o hei dielec ic p ope ies, om oom empe a u e up o 800 ºC a 21
he commonly used equency o 2.45 GHz. 22
23
2. Ma e ials and Me hods 24
5
2.1 Biowas e p epa a ion and cha ac e iza ion 1
The biodeg adable was e used o his s udy was an o ganic ac ion om a 2
municipal solid was e, ob ained om a land ill in Se ille (Spain). The was e 3
was d ied, pa ially cleaned o ine s such as glass o me als and size-4
educed o 1-3 mm. This ac ion has been labelled as MSWd. The p e-5
ea men o his o ganic esidue allows a good homogenei y o his ac ion. 6
Ac ually, his ac ion has been used in o he s udies o p oduce syn hesis 7
gas by means o mic owa e-induced py olysis and he composi ion o he gas 8
was qui e homogeneous when epea ing he es s [17]. 9
In o de o assess he e ec o adding cha as mic owa e abso be o he 10
biowas e upon he dielec ic esponse, a ca bonaceous solid cha was 11
p epa ed by subjec ing he biowas e sample o a empe a u e o 800 ºC in an 12
elec ic u nace o 1 h in an oxygen- ee a mosphe e. This has been labelled 13
Cha -MSWd. The mix u es o cha :biowas e we e p epa ed in weigh a ios 14
o 0.3:1 and 0.6:1. These wo mix u e a ios we e conside ed on he basis o 15
keeping he amoun o cha as low as possible o induce he mic owa e 16
py olysis. In p e ious s udies [17], we used 0.3:1 a io; hus, we ha e used 17
his same a io in his wo k. Fu he mo e, a la ge amoun (0.6:1 a io) was 18
conside ed o s udy he e ec o adding cha o eeds ock as mic owa e 19
abso ben . 20
The mois u e, ash con en and ola ile ma e da a o he esidues we e 21
ob ained on a LECO TGA-601 de ice. To pe o m he ul ima e analysis, a 22
LECO-CHNS-932 mic o-analyze and a LECO-TF-900 u nace we e used. 23
The mic o-analyze p o ided da a on he ca bon, hyd ogen, ni ogen, and 24
6
sul u pe cen age composi ion. The oxygen con en was de e mined using 1
he LECO-TF-900 u nace. The esul s o p oxima e and ul ima e analyses 2
o he MSWd and cha -de i ed samples a e p esen ed in Table 1. 3
4
Table 1. P oxima e and ul ima e analyses o he MSWd and Cha -MSWd ac ions 5
Residue Municipal
solid was e
Cha om
municipal
solid was e
Label MSWd Cha -MSWd
Mois u e 2.8 3.3
Asha 27.7 66.6
P oxima e
analysis
(w .%) Vola ile
ma e a 61.1 1.7
C 45.1 30.7
H 5.4 0.1
N 2.1 1.0
S 0.4 0.7
Ul ima e
analysis
(w .%)
O 19.3 0.9
6
2.2 Measu emen o dielec ic p ope ies 7
An in e se me hodology o ob ain he pe mi i i y o he di e en biowas es 8
was used (Fig. 1) [18]. This echnique is one o he mos app op ia e; o he 9
echniques such as s anda d coaxial p obes may lead o lowe p ecision 10
since ai bubbles below he coaxial p obe can esul in lowe alues o 11
pe mi i i y; esonan -ca i y echnique is ypically used o low-loss 12
ma e ials (which is no ou case) and iden i ying he esonan equency and 13
quali y ac o (in insic pa ame e s o his echnique) would ha e been 14
di icul due o he high abso p ion o he ma e ials. Fi s , each sample (see 15
Sample R in Fig. 1) was in oduced and uni o mly compac ed in o a qua z 16
ube (i.d. 5 mm, heigh 43 mm; MSWd bulk densi y: 166 kg/m3; cha bulk 17
7
densi y: 353 kg/m3) and hea ed up o a speci ic empe a u e in an oxygen-1
ee a mosphe e by a GALLUR con ec ion o en. The samples we e subjec ed 2
o 25, 50, 100, 200, 300, 400, 500, 600, 700, 800 and 1000 ºC be o e being 3
e y quickly placed (maximum 3 s) in he middle o a WR-340 wa eguide 4
whe e he sca e ing pa ame e s (i.e., S11, S12, S21 and S22) we e measu ed 5
by means o a RHODE & SCHWARZ, model ZVA67 ec o ne wo k analyze 6
se o a equency o 2.45 GHz. S-pa ame e s desc ibe he esponse o an N-7
po ne wo k o ol age signals a each po . The i s numbe in he 8
subsc ip e e s o he esponding po , while he second numbe e e s o 9
he inciden po . Thus S21 means he esponse a po 2 due o a signal a 10
po 1. A e wa ds, he measu emen sys em was modeled (Sample S in Fig. 11
1) by using CST Mic owa e S udio (CST MWS) comme cial so wa e and, by 12
in e se echniques, he alue o he complex pe mi i i y o each sample a 13
he co esponding empe a u e was ob ained. Tha is o say, an op imiza ion 14
me hod (a gene ic algo i hm combined wi h a g adien descen op imiza ion 15
me hod) [18] was applied o he model o ob ain a simula ed ma e ial ha 16
would induce he same sca e ing pa ame e s as hose p e iously measu ed. 17
As ini ial alues o he co esponding op imiza ion me hod, he 18
pe mi i i y o he ma e ials was measu ed in a po able DIMAS 19
dielec ome e , model DIELKITV/DIELKITC a oom empe a u e. The 20
e o s du ing measu emen s a e included in he Supplemen a y Ma e ial. 21
Fu he mo e, o minimize he unce ain y o he sample cooling on he 22
pe mi i i y measu emen s du ing he sample ans e om he o en o he 23
wa eguide, he cooling cu e was p e iously es ima ed and can be ound in 24
8
he Supplemen a y Ma e ial. This cu e allows es ablishing he ope a ing 1
empe a u e o he o en in o de o each he nominal empe a u e in o he 2
wa eguide. 3
4
FIGURE 1 5
6
2.3 Loss angen calcula ion 7
The loss angen is an impo an dielec ic p ope y which is di ec ly ela ed 8
o he abili y o a speci ic ma e ial o con e elec omagne ic ene gy in o 9
hea a a gi en empe a u e and equency. This p ope y is de ined as: 10
11
12
13
Fu he mo e, he ela ionship be ween he dielec ic p ope ies o biowas e 14
and cha was in es iga ed o he wo ma e ial mix u es o e he selec ed 15
empe a u e ange. The dielec ic p ope ies o a mix u e o wo di e en 16
ma e ials can be modeled by using di e en equa ions such as he Landau, 17
Li shi z and Looyenga equa ion (Equa ion 3), as epo ed in [19]: 18
19
20
21
whe e is he olume ic ac ion o he ma e ial MSWd, which was 22
calcula ed om i s densi y, and and a e he pe mi i i y o 23
he biomass and cha ac ions, espec i ely. The accu acy o his model was 24
9
es ed using he expe imen al da a ob ained o e he empe a u e ange 1
selec ed. 2
3
2.4 Skin dep h calcula ion 4
The skin dep h, also known as pene a ion dep h (Ds), is de ined as he 5
dis ance om he su ace in o he ma e ials a which he a elling 6
elec omagne ic wa e powe d ops o e-1 om i s alue a he su ace. The 7
skin dep h can be calcula ed using Equa ion 4 [20]: 8
9
10
11
whe e is he mic owa e wa eleng h in ee space. The skin dep h is an 12
impo an pa ame e since he use o mic owa es as a hea ing medium 13
usually in ol es scaling-up limi a ions due o he di icul y o p ope ly 14
dispe sing he mic owa es as he ma e ial inc eases in olume [21]. 15
16
3. Resul s and Discussion 17
The measu ed dielec ic p ope ies o he MSWd and Cha -MSWd ac ions 18
a e shown in Fig. 2 (a) and (b), espec i ely, e sus he inc ease in 19
empe a u e. As can be seen, he dielec ic p ope ies depend g ea ly on he 20
empe a u e du ing py olysis, pa icula ly a high empe a u es. 21
FIGURE 2 22
The dielec ic cons an and loss ac o o MSWd show a nea ly cons an 23
alue om oom empe a u e up o 500 °C, co esponding o he py olysis 24
16
4. Conclusion 1
The dielec ic p ope ies o an o ganic ac ion om a municipal solid was e 2
we e de e mined a 2.45 GHz om oom empe a u e o 800 ºC. The 3
dielec ic p ope ies o he biowas e emained cons an du ing py olysis up 4
o 400 ºC; hen he e was a sha p inc ease in bo h he dielec ic cons an 5
and loss ac o , owing o he elease o ola iles and honeycomb-like ca bon 6
s uc u es wi h a high delocalised elec on densi y. Fu he mo e, he 7
addi ion o cha as mic owa e abso ben o he eeds ock p o ed o be an 8
e ec i e way o educe he ene gy consump ion o he py olysis p ocess, 9
because i p o ided he bulk wi h a high an δ a oom empe a u e, 10
al hough i educed he pene a ion dep h, which esul ed in a mo e 11
he e ogeneous hea ing when a high concen a ion o cha was used. 12
The dielec ic cha ac e iza ion add essed in his pape could se e as a 13
s a ing poin o he design o sui able equipmen o pe o m he 14
mic owa e-induced py olysis a indus ial scale wi h he app op ia e 15
simula ion so wa e. 16
17
Acknowledgmen s 18
The esea ch leading o hese esul s has ecei ed unding om he 19
Eu opean Union’s Se en h F amewo k P og amme o esea ch, 20
echnological de elopmen and demons a ion unde g an ag eemen n° 21
311815 (SYNPOL p ojec ). D. B. also acknowledges he inancial suppo 22
ecei ed om PCTI and FICYT o he Go e nmen o he P incipado de 23
As u ias. 24
17
Re e ences 1
2
[1]Eu opeanCommission,Beingwisewi hwas e: heEU’sapp oach owas e3
managemen ,in,2010.4
[2]D.Bene oso,J.M.Be múdez,A.A enillas,J.A.Menéndez,In eg a edmic owa e5
d ying,py olysisandgasi ica ion o alo isa iono o ganicwas es osyngas,Fuel,1326
(2014)20‐26.7
[3]V.L.Buda in,P.S.Shu lewo h,J.R.Dodson,A.J.Hun ,B.Lanigan,R.Ma io ,K.J.8
Milkowski,A.J.Wilson,S.W.B eeden,J.Fan,E.H.K.Sin,J.H.Cla k,Useo g een9
chemical echnologiesinanin eg a edbio e ine y,Ene gy&En i onmen alScience,410
(2011)471‐479.11
[4]F.Mo asemi,M.T.A zal,A e iewon hemic owa e‐assis edpy olysis echnique,12
RenewableandSus ainableEne gyRe iews,28(2013)317‐330.13
[5]D.Bene oso,J.Be múdez,A.A enillas,J.Menéndez,Mic owa ePy olysiso 14
O ganicWas es o Syngas‐De i edBiopolyme sP oduc ion,in:P oduc iono Bio uels15
andChemicalswi hMic owa e,Sp inge ,2015,pp.99‐127.16
[6]J.B.Salsman,Technique o Measu ing heDielec icP ope ieso Mine alsasa17
Func iono Tempe a u eandDensi ya Mic owa eHea ingF equencies,MRSOnline18
P oceedingsLib a y,189(1990)null‐null.19
[7]Z.Peng,J.‐Y.Hwang,B.‐G.Kim,J.Mou is,R.Hu cheon,Mic owa eAbso p ion20
Capabili yo HighVola ileBi uminousCoaldu ingPy olysis,Ene gy&Fuels,26(2012)21
5146‐5151.22
[8]F.Mo asemi,M.T.A zal,A.A.Salema,Mic owa edielec iccha ac e iza iono hay23
du ingpy olysis,Indus ialC opsandP oduc s,61(2014)492‐498.24
[9]F.Mo asemi,M.T.A zal,A.A.Salema,J.Mou is,R.M.Hu cheon,Mic owa e25
dielec iccha ac e iza iono swi chg ass o bioene gyandbio uel,Fuel,124(2014)26
151‐157.27
[10]J.A.Menéndez,A.A enillas,B.Fidalgo,Y.Fe nández,L.Zubiza e a,E.G.Cal o,28
J.M.Be múdez,Mic owa ehea ingp ocessesin ol ingca bonma e ials,Fuel29
P ocessingTechnology,91(2010)1‐8.30
[11]D.Bene oso,J.M.Be múdez,A.A enillas,J.A.Menéndez,Mic owa epy olysiso 31
mic oalgae o highsyngasp oduc ion,Bio esou ceTechnology,144(2013)240‐246.32
[12]D.Bene oso,J.M.Be múdez,A.A enillas,J.A.Menéndez,In luenceo he33
mic owa eabso ben andmois u econ en on hemic owa epy olysiso ano ganic34
municipalsolidwas e,Jou nalo Analy icalandAppliedPy olysis,105(2014)234‐240.35
[13]A.A.Salema,Y.K.Yeow,K.Ishaque,F.N.Ani,M.T.A zal,A.Hassan,Dielec ic36
p ope iesandmic owa ehea ingo oilpalmbiomassandbiocha ,Indus ialC ops37
andP oduc s,50(2013)366‐374.38
[14]R.Oma ,A.Id is,R.Yunus,K.Khalid,M.I.AidaIsma,Cha ac e iza iono emp y39
ui bunch o mic owa e‐assis edpy olysis,Fuel,90(2011)1536‐1544.40
[15]S.Ramasamy,B.Mogh ade i,Dielec icp ope ieso ypicalAus alianwood‐41
basedbiomassma e ialsa mic owa e equency,Ene gy&Fuels,24(2010)4534‐42
4548.43
[16]A.A.Salema,M.T.A zal,Nume icalsimula iono hea ingbeha iou inbiomassbed44
andpelle sunde mul imodemic owa esys em,In e na ionalJou nalo The mal45
Sciences,91(2015)12‐24.46
18
[17]D.Bene oso,J.M.Be múdez,A.A enillas,J.A.Menéndez,Compa ing he1
composi iono hesyn hesis‐gasob ained om hepy olysiso di e en o ganic2
esidues o apo en ialusein hesyn hesiso bioplas ics,Jou nalo Analy icaland3
AppliedPy olysis,111(2015)55‐63.4
[18]M.E.Requena‐Pe ez,A.Albe o‐O iz,J.Monzo‐Cab e a,A.Diaz‐Mo cillo,5
Combineduseo gene icalgo i hmsandg adien descen op miza ionme hods o 6
accu a ein e sepe mi i i ymeasu emen ,Mic owa eTheo yandTechniques,IEEE7
T ansac ionson,54(2006)615‐624.8
[19]D.C.Dube,S udyo Landau‐Li shi z‐Looyenga's o mula o dielec icco ela ion9
be weenpowde andbulk,Jou nalo PhysicsD:AppliedPhysics,3(1970)1648.10
[20]J.P.Robinson,S.W.Kingman,E.H.Les e ,C.Yi,Mic owa e emedia iono 11
hyd oca bon‐con amina edsoils–Scale‐upusingba ch eac o s,Sepa a ionand12
Pu i ica ionTechnology,96(2012)12‐19.13
[21]J.Douce ,J.‐P.La iole e,S.Fa ag,J.Chaouki,Dis ibu edMic owa ePy olysiso 14
Domes icWas e,Was eandBiomassValo iza ion,5(2014)1‐10.15
[22]M.T ipa hi,J.N.Sahu,P.Ganesan,T.K.Dey,E ec o empe a u eondielec ic16
p ope iesandpene a iondep ho oilpalmshell(OPS)andOPScha syn hesizedby17
mic owa epy olysiso OPS,Fuel,153(2015)257‐266.18
[23]Y.Fe nández,A.A enillas,J.Á.Menéndez,Mic owa eHea ingApplied oPy olysis,19
Ad ancesinInduc ionandMic owa eHea ingo Mine alandO ganicMa e ials,20
S anisławG undas(Ed.),ISBN:978‐953‐307‐522‐8,InTech,InTech,2011.21
[24]J.P.Robinson,C.E.Snape,S.W.Kingman,De elopinghighpowe mic owa e22
p ocessingasane ec i e echnology o he he mo‐chemicalcon e siono 23
biodeg adablemunicipalwas e,in:TechnologyREsea chandInno a ionFundP ojec 24
Repo ,Uni e si yo No ingham,2010.25
[25]H.H.Sai ,A.A.Salema,Mic owa edielec iccha ac e iza iono SaudiA abianda e26
palmbiomassdu ingpy olysisanda indus ial equencies,Fuel,161(2015)239‐247.27
28
29
30
31
32
33
19
1
Figu e cap ions 2
3
Figu e 1. In e se me hodology o de e mining he dielec ic p ope ies 4
based on he p ocedu e desc ibed in [18] 5
6
20
1
Figu e 2. Dielec ic p ope ies o he (a) MSWd ac ion (b) Cha -MSWd 2
ac ion du ing py olysis. 3
4
5
21
1
Figu e 3. E olu ion o an δ du ing py olysis o he (a) MSWd and (b) 2
Cha -MSWd ac ions. 3
4
22
1
Figu e 4. Dielec ic cons an o he mix u es 2
3
23
1
Figu e 5. Loss ac o o he mix u es 2
3
24
1
Figu e 6. E olu ion o an δ du ing py olysis o he di e en cha /biowas e 2
mix u es. an δ om MSWd ac ion is also depic ed as a means o 3
compa ison 4
5
25
1
Figu e 7. Mic owa e skin dep h o he mix u es o MSWd wi h Cha -2
MSWd du ing py olysis 3
4
32
1
Mix u e Cha :MSWd (0.6:1) 2
0100 200 300 400 500 600 700 800
0
20
40
60
80
100
120
140
Tempe a u e (ºC)
ε
´
ε
´ s Tempe a u e Ma e ial 3
ε
´
ε
´+U
ε
´
ε
´-U
ε
´
3
0100 200 300 400 500 600 700 80
0
0
20
40
60
80
100
120
140
Tempe a u e (ºC)
ε
´´
ε
´´ s Tempe a u e Ma e ial 3
ε
´´
ε
´´+U
ε
´´
ε
´´-U
ε
´´
4
33
0100 200 300 400 500 600 700 800
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Tempe a u e (ºC)
anδ
anδ s Tempe a u e Ma e ial 3
anδ
anδ+U anδ
anδ-U anδ
1
34
1
Cha sample 2
3
0100 200 300 400 500 600 700 80
0
0
20
40
60
80
100
120
140
Tempe a u e (ºC)
ε´
ε´ s Tempe a u e Ma e ial 4
ε´
ε´+Uε´
ε´-Uε´
4
0100 200 300 400 500 600 700 80
0
4
5
6
7
8
9
10
11
12
13
Tempe a u e (ºC)
ε´´
ε´´ s Tempe a u e Ma e ial 4
ε´´
ε´´+Uε´´
ε´´-Uε´´
5
35
0100 200 300 400 500 600 700 80
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
Tempe a u e (ºC)
an
δ
an
δ
s Tempe a u e Ma e ial 4
1
2
36
1
Cooling down cu e 2
50 100 150 200 250 300 350 400 450 500
0
200
400
600
800
1000
1200
Time (s)
Tempe a u e (C)
Cooling cu e
In e pola ed. Max descen : 22.47 C/s
Measu ed
3
4
5