The effects of Coriolis force and surface tension on the onset of the Benard-Marangoni instabnility

• Main Authors: kuang,Kung Yuan, 孔光源
• Other Authors: Hsu, Cheng Hsing
• Format: Others
• Language: zh-TW
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/09329423366394302377

博士 === 中原大學 === 機械工程研究所 === 84 === The effects of the Coriolis force and surface tension on the onset of the Benard- Marangoni convective inatability in a horizontally superposed layers of soled and horizontal fluid layer, subjected to a rotation , are inveatigated. The upper surface is bounded with a solid plate, heated from below. The principle of exchange of stability is applied. The charact- eristic problem is solved numerically by using the Runge-Kutta- Gill''s shooting method. Due to the continuity of the velocity, shear, temperature, and heat flux across the interface, the thermal and the surface tension in the fluid layer will affect the onset of convection. The thickness ratio, conductivity ratio, Biot number, and the Taylor number are significant on determining the critical Rayl- eigh number or the critical Marangoni number with the correspo- nding wave number. The results show that the system is more stable at larger values of thickness ratio, conductivity ratio, Biot number, Taylor number.