Citation: | ZHANG Li, LI Yourong, LIU Lina, WU Chunmei. Transition Process of Supercritical Thermocapillary Convection in a Shallow Annular Pool for Low Prandtl Number Fluids[J]. Chinese Journal of Space Science, 2018, 38(3): 373-379. doi: 10.11728/cjss2018.03.373 |
[1] |
HU W R, TANG Z M, LI K. Thermocapillary convection in floating zones[J]. Appl. Mech. Rev., 2008, 61(1):010803
|
[2] |
AVRAMENKO A A, SHEVEHUK I V, HARMAND S, et al. Thermocapillary instability in an evaporating two-dimensional thin layer film[J]. Int. J. Heat Mass Tran., 2015, 91:77-88
|
[3] |
AKTERSHEV S P. Stability of the heated liquid film in the presence of the thermocapillary effect[J]. Thermophys. Aeromech., 2013, 20(1):1-16
|
[4] |
SOBAC B, BRUTIN D. Thermocapillary instabilities in an evaporating drop deposited onto a heated substrate[J]. Phys. Fluids, 2012, 24(3):032103
|
[5] |
CHEN Qisheng, HE Meng, HU Kaixin. Linear stability analysis of thermocapillary convection in annular pools[J]. Chin. J. Space Sci., 2016, 36(4):476-480(陈启生, 何蒙, 胡开鑫. 环形液池热毛细对流的线性稳定性分析[J]. 空间科学学报, 2016, 36(4):476-480)
|
[6] |
SMITH M K, DAVIS S H. Instabilities of dynamic thermocapillary liquid layers:1 convective instabilities[J]. J. Fluid Mech., 1983, 132:119-144
|
[7] |
SMITH M K, DAVIS S H. Instabilities of dynamic thermocapillary liquid layers:2 surface-wave instabilities[J]. J. Fluid Mech., 1983, 132:145-162
|
[8] |
SMITH M K. Instability mechanisms in dynamic thermocapillary liquid layers[J]. Phys. Fluids, 1986, 29(10):3182-3186
|
[9] |
VILLERS D, PLATTEN J K. Coupled buoyancy and Marangoni convection in acetone:experiments and comparison with numerical simulations[J]. J. Fluid Mech., 1991, 234:487-510
|
[10] |
GILLON P, HOMSY G M. Combined thermocapillary-buoyancy convection in a cavity:an experimental study[J]. Phys. Fluids, 1996, 8(11):2953-2963
|
[11] |
BRAUNSFURTH M G, HOMSY G M. Combined thermocapillary-buoyancy convection in a cavity. Part Ⅱ. An experimental study[J]. Phys. Fluids, 1997, 9(5):1277-1286
|
[12] |
ZHU P, DUAN L, KANG Q. Transition to chaos in thermocapillary convection[J]. Int. J. Heat Mass Tran., 2013, 57(2):457-464
|
[13] |
SHI Wanyuan, LI Yourong, PENG Lan, et al. Natural characteristics of hydrothermal wave in a shallow annular pool[J]. Chin. J. Comput. Mech., 2009, 26(1):59-65(石万元, 李友荣, 彭岚, 等. 环形浅液池内热流体波的本质特征[J]. 计算力学学报, 2009, 26(1):59-65)
|
[14] |
LI Y R, IMAISHI N, AZAMI T, et al. Three-dimensional oscillatory flow in a thin annular pool of silicon melt[J]. J. Cryst. Growth, 2004, 260(1/2):28-42
|
[15] |
LI Y R, PENG L, AKIYAMA Y, et al. Three-dimensional numerical simulation of thermocapillary flow of moderate Prandtl number fluid in annular pool[J]. J. Cryst. Growth, 2003, 259(4):374-387
|
[16] |
ZHANG L, LI Y R Li, WU C M. Effect of surface heat dissipation on thermocapillary convection of low Prandtl number fluid in a shallow annular pool[J]. Int. J. Heat Mass Tran., 2017, 110:660-667
|