为了解流体普朗特数(Pr)对热毛细对流的影响,通过线性稳定性分析,确定了环形浅液池内硅熔体(Pr＝0.011)和几种硅油(Pr数从6.7至57.9)热毛细对流失稳的临界条件,获得了它们在临界条件下的热流体波,特别是高Pr数硅油的热流体波.结果发现:当Pr≤15.9时,临界Ma数随Pr数的增加迅速上升,此时环形池内只有一组热流体波,呈连续条纹状.当Pr＞15.9后,临界Ma数随Pr数的增加变缓,环形池内由波数相同、强弱和传播角不同的两组热流体波组成,二者相互干涉形成忽明忽暗、断断续续的条纹.随着Pr数的增加,其中占据主要地位的一组热流体波变得越来越长,传播角越来越小.临界波数mc和临界相速ωc随Pr数的增加而降低.
参考文献
| [1] | Takeshi Azami;Shin Nakamura;Minoru Eguchi .The role of surface-tension-driven flow in the formation of a surface pattern on a Czochralski silicon melt[J].Journal of Crystal Growth,2001(1/2):99-107. |
| [2] | Schwabe D.;Zebib A.;Sim BC. .Oscillatory thermocapillary convection in open cylindrical annuli. Part 1. Experiments under microgravity[J].Journal of Fluid Mechanics,2003(0):239-258. |
| [3] | N. Garnier;A. Chiffaudel .Two dimensional hydrothermal waves in an extended cylindrical vessel[J].The European physical journal, B. Condensed matter physics,2001(1):87-95. |
| [4] | You-Rong Li;Nobuyuki Imaishi;Takeshi Azami;Taketoshi Hibiya .Three-dimensional oscillatory flow in a thin annular pool of silicon melt[J].Journal of Crystal Growth,2004(1/2):28-42. |
| [5] | You-Rong Li;Lan Peng;Yasunobu Akiyama;Nobuyuki Imaishi .Three-dimensional numerical simulation of thermocapillary flow of moderate Prandtl number fluid in an annular pool[J].Journal of Crystal Growth,2003(4):374-387. |
| [6] | Shi WY;Imaishi N .Hydrothermal waves in differentially heated shallow annular pools of silicone oil[J].Journal of Crystal Growth,2006(1):280-291. |
| [7] | 石万元,李友荣,曾丹苓,今石宣之.环形浅液层内热流体波的可视化实验研究[J].工程热物理学报,2007(z2):101-104. |
| [8] | Hoyas S.;Herrero H.;Mancho AM. .Bifurcation diversity of dynamic thermocapillary liquid layers - art. no. 057301[J].Physical review.E.Statistical physics, plasmas, fluids, and related interdisciplinary topics,2002(5):7301-0. |
| [9] | 石万元,李友荣,Ermakov M K,今石宣之.环形液层内热毛细对流的线性稳定性分析[J].工程热物理学报,2008(07):1218-1220. |
| [10] | Teitel M;Schwabe D;Gelfgat AY .Experimental and computational study of the instabilities in a model of Czochralski growth[J].Journal of Crystal Growth,2008(7/9):1343-1348. |
| [11] | Shi WY;Ermakov MK;Imaishi N .Effect of pool rotation on thermocapillary convection in shallow annular pool of silicone oil[J].Journal of Crystal Growth,2006(2):474-485. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%