为了了解液层深度对热毛细对流不稳定性的影响,利用线性稳定性理论分析了内径为20 mm、外径为40 mm、深度为1～20 mm的环形液层内硅油(Pr=6.7)的热毛细对流,重点考察了发生热流体波的临界温差及热流体波的临界周向波数,结果表明,临界温差随液层深度的增加而降低.讨论了浮力对热流体波及其临界条件的影响,并证实了常重力条件下当液层厚度大于5 mm时,热流体波呈静止状态这一现象.
参考文献
| [1] | Smith M K;Davis S H .Instabilities of Dynamic Thermocapillary Liquid Layers.Part 1.Convective Instabilities[J].Journal of Fluid Mechanics,1983,132:119-144. |
| [2] | Schwabe D;Moiler U;Schneider J et al.Instabilities of Shallow Dynamic Thermocapillary Liquid Layers[J].Physics of Fluids A Fluid Dynamics,1992,4(11):2368-2381. |
| [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] | D. Schwabe;S. Benz .Thermocapillary flow instabilities in an annulus under microgravity -results of the experiment magia[J].Advances in Space Research: The Official Journal of the Committee on Space Research(COSPAR),2002(4):629-638. |
| [5] | Schwabe D. .Buoyant-thermocapillary and pure thermocapillary convective instabilities in Czochralski systems[J].Journal of Crystal Growth,2002(Pt.3):1849-1853. |
| [6] | 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. |
| [7] | Shi WY;Imaishi N .Hydrothermal waves in differentially heated shallow annular pools of silicone oil[J].Journal of Crystal Growth,2006(1):280-291. |
| [8] | Hoyas S.;Herrero H.;Mancho AM. .Thermal convection in a cylindrical annulus heated laterally[J].Journal of Physics.A.Mathematical and General:A Europhysics Journal,2002(18):4067-4083. |
| [9] | 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. |
| [10] | Lan Peng;You-Rong Li;Wan-Yuan Shi;Nobuyuki Imaishi .Three-dimensional thermocapillary-buoyancy flow of silicone oil in a differentially heated annular pool[J].International Journal of Heat and Mass Transfer,2007(5/6):872-880. |
| [11] | Sim BC.;Zebib A.;Schwabe D. .Oscillatory thermocapillary convection in open cylindrical annuli. Part 2. Simulations[J].Journal of Fluid Mechanics,2003(0):259-274. |
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%