inverse problem of solidification for determining air gap resistance to heat flow during metal...
DESCRIPTION
Inverse problem of solidification for determining air gap resistance to heat flow during metal casting in metal moldsTRANSCRIPT
![Page 1: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/1.jpg)
![Page 2: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/2.jpg)
![Page 3: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/3.jpg)
measurements
![Page 4: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/4.jpg)
.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)
![Page 5: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/5.jpg)
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'
![Page 6: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/6.jpg)
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.
![Page 7: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/7.jpg)
< >
=0
O<x<b
h<x<
;x :::
t
o
![Page 8: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/8.jpg)
x -
s,
+ +
![Page 9: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/9.jpg)
)
+ +
![Page 10: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/10.jpg)
+ ..... ,,, .... _-;;;..:.;.;.. +
+ + ----::.,;,...- +
![Page 11: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/11.jpg)
== :::
to ensure
![Page 12: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/12.jpg)
to H"'''I'"""n .. .,,.
s(t)=
![Page 13: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/13.jpg)
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](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/14.jpg)
contact COIt'Ul1.1ctllnc:e
an :::: constant
:;:: ;att=O
; at t :::
; at t :: (
; at t =
![Page 15: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/15.jpg)
as
N
)= i=l
- )=0
evaluated using +n,rn:l<:l\~i"',,"1
VaI'ameteJrs are
4
;j == 1, 4
![Page 16: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/16.jpg)
a
var- ]
lMliUII.,VAA VA"'-.\I.,,-,"-A measurement errors , we
]= I
var-cov ::::
terms anlJe·a.nn,i!
var-cov =
![Page 17: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/17.jpg)
< < +
<
![Page 18: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/18.jpg)
<
::::
::::
![Page 19: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/19.jpg)
![Page 20: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/20.jpg)
- was as
an to
= =: 1
::::: :::::
U= 1 =
![Page 21: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/21.jpg)
![Page 22: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/22.jpg)
![Page 23: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/23.jpg)
![Page 24: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/24.jpg)
![Page 25: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/25.jpg)
![Page 26: Inverse Problem of Solidification for Determining Air Gap Resistance to Heat Flow During Metal Casting in Metal Molds](https://reader034.vdocuments.site/reader034/viewer/2022052513/55cf92b1550346f57b98c4ad/html5/thumbnails/26.jpg)
1