The Flow Bifurcation in Two-Lids Parallel Driven Cavity Flow with Heat Tranfer

• Main Authors: Tzu-Yang Chen, 陳子揚
• Other Authors: Kuen-Tsann Chen
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/50992221951006350797

碩士 === 國立中興大學 === 應用數學系所 === 100 === This study investigated the flow bifurcations of the flows in a cavity whose two lids move in the same velocity and direction and possess temperature difference. First, a continuation method was applied to investigate the flow bifurcation in the cavity with aspect ratio of 0.877 with the increase in the moving velocity of the two lids. A stable symmetric two vortices flow and an asymmetric two vortices flow were found in the flow bifurcation. Then, with the two stable states as the initial solutions, the continuation method was applied to calculate the evolutions of the two flow states with the increase in the temperature difference of the lids again. The evolutions of the streamline and isothermal and bifurcation diagrams with the increase in the temperature difference, i.e. Grashof number, were plotted. From the calculated results, for the stable symmetric two vortices flow, the upper vortex of the flow gradually gaining in strength and size and compressing the lower vortex makes the flow state become asymmetric state with the increase in the temperature difference. The existent region of the flow state in Grashof number was distinguished. For the initial asymmetric stable two vortices flow, with the increase in the temperature difference, the strength and size of the larger vortex gradually reduce and the flow state may change severely. The existent region of the flow state in Grashof number was also defined.