학술논문
Marangoni效应下气泡上升过程的FTM模拟 / Front tracking simulation of bubble rising under the Marangoni effect
Document Type
Academic Journal
Author
林圣享; 朱宝杰; 易义武; 张莹; 刘佩尧; 马明; LIN Sheng-xiang; ZHU Bao-jie; YI Yi-wu; ZHANG Ying; LIU Pei-yao; MA Ming
Source
计算力学学报 / Chinese Journal of Computational Mechanics. 36(1):52-58
Subject
Language
Chinese
ISSN
1007-4708
Abstract
采用界面跟踪法FTM(Front-Tracking Method),并结合CSF(continuum surface force)模型,研究了在垂直方向上温度分布不均匀的对称流场中由Marangoni效应引起的气泡上升运动问题.模拟了在不同的M a数和Pr数下单气泡及同轴双气泡的运动.研究结果表明,在不同的M a数下气泡的运动差异较大,M a数越大,气泡运动至稳态时的速度越大,且气泡运动的最大速度值与M a数呈正相关关系;增大Pr数所造成的粘度增大或热扩散率减小将削弱气泡的迁移运动;Marangoni对流中双气泡的局部运动证实了温度梯度和气泡运动速度紧密相关.
Using front tracking method combined with the continuum surface force model, the bubble rising motion caused by the Marangoni effect in the symmetric flow field with non-uniform temperature distribution in the vertical direction was studied.The motion of a single bubble and a coaxial double bubble under different Ma and Pr numbers were simulated.The results show that the motion of bubbles is different under different Ma numbers.The larger the Ma number, the faster the bubble moves to a steady state, and there is a positive correlation between the maximum velocity of bubble motion and the Ma number;increasing the viscosity or decreasing the thermal diffusivity caused by increasing the Pr number will weaken the migration motion of the bubble;the local motion of the double bubbles in the Marangoni convection confirms that the temperature gradient is closely related to the bubble motion velocity.
Using front tracking method combined with the continuum surface force model, the bubble rising motion caused by the Marangoni effect in the symmetric flow field with non-uniform temperature distribution in the vertical direction was studied.The motion of a single bubble and a coaxial double bubble under different Ma and Pr numbers were simulated.The results show that the motion of bubbles is different under different Ma numbers.The larger the Ma number, the faster the bubble moves to a steady state, and there is a positive correlation between the maximum velocity of bubble motion and the Ma number;increasing the viscosity or decreasing the thermal diffusivity caused by increasing the Pr number will weaken the migration motion of the bubble;the local motion of the double bubbles in the Marangoni convection confirms that the temperature gradient is closely related to the bubble motion velocity.