Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal...

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Inverse problem of solidification for determining air gap resistance to heat flow during metal casting in metal molds

Transcript of Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal...

Page 1: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds
Page 2: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds
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measurements

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.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)

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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'

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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.

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< >

=0

O<x<b

h<x<

;x :::

t

o

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x -

s,

+ +

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)

+ +

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

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

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== :::

to ensure

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

s(t)=

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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

Page 14: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds

contact COIt'Ul1.1ctllnc:e

an :::: constant

:;:: ;att=O

; at t :::

; at t :: (

; at t =

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as

N

)= i=l

- )=0

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

VaI'ameteJrs are

4

;j == 1, 4

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a

var- ]

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

]= I

var-cov ::::

terms anlJe·a.nn,i!

var-cov =

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< < +

<

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<

::::

::::

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Page 20: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds

- was as

an to

= =: 1

::::: :::::

U= 1 =

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