摘要:
利用黏弹性膜构成的蛋白质气泡有限变形方程,并考虑一个气泡在Bingham流体中振动产生的Bierknes力对另一个气泡振动特性的影响,建立了两个等径蛋白质气泡在Bingham流体中振动的非线性方程.利用数值计算方法求解该方程,结果表明,增加Bingham流体的塑性黏度,蛋白质气泡振幅衰减速度加快,振动周期增加,频率减小;当两个气泡间的距离减小时,气泡振动频率会增加,振幅衰减速度加快;初始半径小的气泡振动频率高,振幅衰减快,而且振动的频率和振幅衰减的速率越大;与单个气泡相比,两个蛋白质气泡在Bingham流体中振动时,振动具有更高的振动频率,而且振幅衰减速度更快.
Abstract:
Based on the finite deformation equation of protein bubble with viscoelastic film, and taking into account the Bjerknes effect that one oscillating bubble acts on the ather in Bingham liquid, a nonlinear equation describing the vibration of two equal-radius protein bubbles in Bingham fluid is built. The numerical simulation is used to solve the above nonlinear equation. The results show that, increasing the plastic viscosity of Bingham liquid the protein bubble wall will vibrate with higher decrement velocity of amplitude, and with lower frequency; shortening the distance between bubbles, the bubble wa]l will vibrate with a higher frequency and a higher decrement velocity of amplitude. Furthermore, the smaller the bubble size is, the higher the increment of frequency and decrement velocity of amplitude are. The two bubbles in Bingham fluid will vibrate with higher frequency and higher decrement velocity of amplitude than that of a single bubble.
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