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Linear stability analysis of thermocapillary convection oflow Prandtl number fluid in an annular pool
作者姓名:LI You rong  LIU Yu shan and SHI Wan yuan
作者单位:College of Power Engineering, Chongqing University, Chongqing 400030, P.R. China;College of Power Engineering, Chongqing University, Chongqing 400030, P.R. China;College of Power Engineering, Chongqing University, Chongqing 400030, P.R. China
摘    要:This study uses the linear stability analysis to understand the transition characteristics of thermocapillary convection in an annular pool with low Prandtl number (Pr=0.011) fluid. The annular pool is heated from the outer cylindrical wall and cooled at the inner wall. The bottom and top surfaces are adiabatic. The results show that with the increase of the aspect ratio, the critical Marangoni number and the critical wave number decrease. When the aspect ratio exceeds 0.12, the critical wave number keeps almost constant. With the increase of the radius ratio, the critical Marangoni number decreases slightly, while the critical wave number increases.

关 键 词:linear  stability  analysis    thermocapillary  convection    low  Prandtl  number  fluid
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