A Comparison of numerical simulation models for predicting temperature in solidification analysis with reference to air gap formation

Transcript

1 A Comparison of numerical simulation models for predicting temperature in solidification analysis with reference to air gap formation J. Kron, Michel Bellet, Andreas Ludwig, Bjorn Pustal, Joachim Wendt, Hasse Fredriksson To cite this version: J. Kron, Michel Bellet, Andreas Ludwig, Bjorn Pustal, Joachim Wendt, et al.. A Comparison of numerical simulation models for predicting temperature in solidification analysis with reference to air gap formation. International Journal of Cast Metals Research, 2004, 17 (5), pp.pages < / >. <hal > HAL Id: hal Submitted on 14 Mar 2011 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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

25 ($87 "A$"# '&&'"#'% ##!%! ()*'+ $# '"*% +*! " $$ - h castinghmould $023! $043!0523, 2<5+ 0< 0 G=G+ 0< 0 <>

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27 LVDT:s INSULATING GRANULES THERMO- COUPLES CORE CASTING MOULD LVDT- POSITION 24 INSULATION LVDT:s!,'8 +'- #&.*'!+$"0* <:

28 Measured temperatures for unmodified Al-Si A !,'<87 $!,%'A"#' +&.*'!+"8%!%$$ -$023!?+"'+ r N 45; ++! & %"!, r N 44 ++! & + $@ 8 $043!0523,?+"'+rN:=++!&%"!,rN44++!&+ $@ B <4

29 Displacement [m] 2 x mould casting Displacement [m] x mould casting A B !,'28"''!$!"*$%+"!.*'!+"8%!%$$ -$023! 8$0 43!0523, ( & %&'" &!' "'#% # & + $ &" * "!!A '!$!"*$%+)&!$&"'#% #&%"!,&"#!'"* "!!A # $$ )!,&+ $ +! &,!A " $!!#!%! "&'!/, <G

30 Heat transfer coefficient [W m -2 K -1 ] Heat transfer coefficient [W m -2 K -1 ]!,' >8 7$%$& '"#'% ##!%!"# ' &.*'!+" 8 %!% $$ - $0 23! 8$043!0523, <=

31 Casts Magma Procast Thercast 8+*''!% ''NG Casts Magma Procast Thercast Experiment Casts Magma Procast Thercast 8+*''!*''N>;++ 78+*''!*''N:= Experiment Casts Magma Procast Thercast 8+*''!+ $'N Casts Magma Procast Thercast 8+*''!+ $'NG;++!,';8"$"# '"*$043!0523,'&'"#'%$%$! ")!&% " &'"#'% ##!%!" 25

32 Casts Magma Procast Thercast 8+*''!% ''NG Casts Magma Procast Thercast Experiment Casts Magma Procast Thercast 8+*''!*''N>;++ 78+*''!*''N45; Experiment Casts Magma Procast Thercast 8+*''!+ $'N Casts Magma Procast Thercast 8+*''!+ $'NG;++!,':8 "$"# '"* $023! '& '"#'%$%$! ")!&% "& '"#'% ##!%!" 2

33 Casts Magma Procast Thercast (R2sol) 8+*''!% ''NG Experiment Magma Thercast (R2sol) Casts Procast Experiment Magma Thercast (R2sol) Casts Procast 8+*''!*''N:=++ 78+*''!+ $'N44++ 0,0003 Radial displacement [m] 0,0000-0,0003-0,0006-0,0009-0,0012-0,0015-0,0018 Experiment part Experiment mould Casts part Magma part Magma mould Procast part Procast mould Thercast (R2sol) part 8*'+ $!"*$%+"!,' 48 "$"# '"* < $043!0523, &'+ +%&!%$%$%$! ")!&!+ *&'"#'% ##!%!" 2<

34 Casts Magma Procast Thercast (R2sol) 8+*''!% ''NG Experiment Casts Magma Procast Thercast (R2sol) 8+*''!*''N45; Experiment Casts Magma Procast Thercast (R2sol) 78+*''!+ $'N44++ 0,0003 Radial displacement [m] 0,0000-0,0003-0,0006-0,0009-0,0012 Experiment part Experiment mould Magma part Magma mould Procast part Procast mould Thercast (R2sol) part 8*'+ $!"*$%+"!,'G8"$"# '"*<$023!&'+ +%&!%$%$%$! ")!&!+* &'"#'% ##!%!" 22

35 Procast Thercast 8+*''!% ''NG Experiment Procast Thercast Experiment Procast Thercast 8+*''!*''N:=++ 78+*''!+ $'N44++ 0,0002 Radial displacement [m] 0,0000-0,0002-0,0004-0,0006-0,0008-0,0010-0,0012-0,0014 Experiment part Experiment mould Procast part Procast mould Thercast part Thercast mould 8*'+ $!"*$%+"!,' =8 "$"# '"* 2 $043!0523, &'+ +%&!%$%$%$! ")!&,* *&'"#'% ##!%!" 2>

36 Thercast 8+*''!% ''NG Experiment Thercast Experiment Thercast 8+*''!*''N45;++ 78+*''!+ $'N44++ 0,0002 Radial displacement [m] 0,0000-0,0002-0,0004-0,0006-0,0008-0,0010 Experiment part Experiment mould Thercast part Thercast mould 8*'+ $!"*$%+"!,'58"$"# '"*2$023!&'+ +%&!%$%$%$! ")!&,** &'"#'% ##!%!" 2;

37 Thercast 8+*''!% ''NG Experiment Thercast Experiment Thercast 8+*''!*''N:=++ 78+*''!+ $'N44++ 0,0008 Radial displacement [m] 0,0002 0,0000-0,0002-0,0004 Air gap [m] 0,0006 0,0004 0,0002-0,0006 Experiment part Experiment mould Thercast part Thercast mould 8*'+ $!"*$%+" 0,0000 Experiment Thercast 8"" %!!',*A $!!,' 8 "$"# '"* 2 $043!0523, &'+ +%&!%$%$%$! ")!&,* *&'"#'% ##!%!" "!,$!1!0" $!% "!!A+ $!7 2:

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