Vol.24 冯妍卉等：反向凝固器内伴随固液相变的湍流流动与传热的数值分析 ·601· 279 金一维相变传热的研究[).金属学报，2000,36(4少：383 8 Patankar S V.Numerical Heat Transfer and Fluid Flow 10冯妍卉，反向凝固器内带有固液相变的湍流流动与 [M].Washington:Hemisphere,1980 传热传质的数值分析[D].北京：北京科技大学，2000 9冯妍卉，张欣欣，王新华，等.反向凝固条件下二元合 Mathematical Model and Numerical Simulation of Turbulent Flow,Heat Transfer and Solidification in a Crystallizor of Inverse Casting FENG Yanhui",ZHANG Xinxin",WANG Xinhua,XU Zhongbo? 1)Mechanical Engineering School,UST Beijing,Beijing 100083,China 2)Metallurgy Engineering School,UST Beijing,Beijing 100083,China ABSTRACT A steady state,two-dimensional numerical model is undertaken to describe coupled liquid steel's turbulent flow and heat transfer with solidification for the Fe-C binary alloy in a crystallizor of inverse casting.The solid-liquid phase change phenomena are modeled by using the continuum formulations and con- sidering the mush zone as porous media.The turbulence flow in the crystallizor is accounted for,using a modi- fied version of the low-Reynolds-number k-e turbulence model.The flow pattern in liquid zones and the tem- perature distribution in solid,mushy and liquid regions are predicted.The numerical analysis indicates that the residence time of the mother sheet in the crystallizor is one of the key parameters.The effects of some other main parameters on the solidification behavior are also studied,such as the thickness and the initial tempera- ture of the mother sheet,the superheat degree of liquid steel,etc. KEY WORDS inverse casting;phase change;turbulent flow;numerical simulation;residence timeV心】 . 2 4 冯 妍卉等 : 反 向凝 固器 内伴随 固液 相变 的湍流流 动与传 热 的数值分析 一 6 0 1 - 2 7 9 P a t a n k a r 5 .V N u扣 e r i e a l H e at T r a们 s ef r na d F l u id F l o w [M } . 认伯 s hi n g t o n : H e m i s Phe r e , 19 8 0 冯妍卉 , 张欣欣 , 王新 华 ,等 . 反 向凝固条件下 二元合 金一维相变传热的研究明 . 金属学报 , 2 0 0 , 36 (4) : 38 3 10 冯妍卉 . 反 向凝固器 内带 有 固液 相变 的湍流流 动与 传热传质 的数值分析 [D] . 北京 : 北 京科 技大学 , 2 0 0 M a ht e m at i e a l M o d e l an d N u m e r i e a l S i mu l at i o n o f T Ur b u l e in F l o W, H e at rT an s fe r an d S o li di if e at i o n i n a C yr s tal li z o r o f Ivn e r s e C a s ti n g 为儿 hu ’i,) 乙队咬刃 G iX 矛战 in ” , 环勿刃G j ic) Z h u 沪 , 曰 YU hZ 口刀动 o)z l ) M e e h an i e a l E n g ine e r i n g S hc o o l , U S T B e ij in g , B e ij i飞 1 00 0 8 3 , C h i n a Z ) M et a l l u r g y EgD in e iern g s e h o o l , U S T B e ij ign , B e ij i n g 10 0 0 8 3 , Ch in a A B S T R A C T A s t e a 勿 s t at e , wt o 一 d im en s i o n a l 11 u m er i e a l m o d e l 1 5 un de rt a k e n t o d e s e ir b e c o uP l e d liqu id s et e l , s t ur b ule nt fl o w an d he at tr asn fer w iht s o liid if e iat on fo r t h e F e 一 C b in a yr al loy in a c yr st a lli ozr o f i n v er s e e a s t in g . hT e s o lid 一 liqu id Ph a s e c h a n g e hP e n o m en a ar e m o de l e d 勿 u s i n g het c o n t i n u u n l fo mr u l at i o n s an d e o n - s id e ir n g ht e mu s h z o n e a s P o r ou s m e d i a , hT e t u r b u l e n e e fl o w in ht e e ry s t a lli z or 1 5 ac e o 山l t e d fo r, u s in g a m o id - if e d v e r s i o n o f ht e l o w 一 R e y n o ld s . n l u ll b e r 尤 一 ￡ t u r b u l e cn e m o d e l . hT e fl ow Pat e m i n liqu id z o en s an d ht e et m - pe r a t ur e id s t r ib iut on in os lid , m u s hy a n d h qu id er ig osn aer rP e id cet d . T h e n 切m e r l c al an als is s i n d i c aet s ht a t het er s id e n e e t im e o f het m o t h e r s h e e t i n het e yr s t a lli z o r 1 5 o n e o f ht e ke y Par am e et r s . hT e e fe c t s o f s o m e o ht e r m a in P amr e etr s o n ht e s o lid iif c at i o n b e h va i o r ar e a l s o s ut d i e d , s u e h a s ht e ht i e kn e s s an d ht e in it i a l et m Pe r a - trU e o f ht e m o ht e r s h e e t , t h e s uP e ht e at d e gr e e o f li qu id st e e l , e t c · K E Y WO R D S ivn er se c a s t i n g ; 恤as e c h a n g e ; t ur b u l ent n ow ; n 切m ier c al s i ln u liat on ; er is d e n c e it m e