inverse problem of solidification for determining air gap resistance to heat flow during metal...

measurements

.4 O~ $.Q<»o-$.OQ$$.<\to.ct).$~O.C(9. •• 6o(!lIirt.O" •• <liO~.o.o •• oeof.llo$ 7

3.

4. 1

5.

1

1

3 (t)

rra:nSlent te::1lrnnj~'I!"'!:lItn1l"tP> measurements

\t~"lin..i:l'1l'"~i-n1l'"t:i> measurements UIbJ'IIo"'.II.Il. .... '''I.I/. to n&"'UDillnn ro .... 11111l"1I.'ilc.lI1l',r-c.lI hn~i'llll1l""U'

we assume an ImDelrte4ct til''IIP1'''!n''II~

a contact .. ,. ...... II"lI'\iW~n!l'.':IIflr·A

==

==

i:)oua:Ul(;~at1.on starts at x =: b as a

moves x - 'l,.\l.AJI."'''''WLVJlJl.

< >

=0

O<x<b

h<x<

;x :::

t

o

x -

s,

+ +

)

+ +

+ ..... ,,, .... _-;;;..:.;.;.. +

+ + ----::.,;,...- +

== :::

to ensure

to H"'''I'"""n .. .,,.

s(t)=

measurements.

contact

contact """""'I'\\.?"I~"'''\!"'''"''''4

caret 1r''lE1T"R,''''1 1\ U'V.l.JlVl.\ .. ,.:, an i$:l> ..... tilfl"llo1i"&:II,rl nll1fJ11",tili"lf

we assume a

a+ + +

of

contact

t S

contact COIt'Ul1.1ctllnc:e

an :::: constant

:;:: ;att=O

; at t :::

; at t :: (

; at t =

as

N

)= i=l

- )=0

evaluated using +n,rn:l<:l\~i"',,"1

VaI'ameteJrs are

4

;j == 1, 4

a

var- ]

lMliUII.,VAA VA"'-.\I.,,-,"-A measurement errors , we

]= I

var-cov ::::

terms anlJe·a.nn,i!

var-cov =

< < +

<

<

::::

::::

- was as

an to

= =: 1

::::: :::::

U= 1 =

1