摘要
根据粘弹性蛋白质气泡有限变形的应力方程,利用Bingham流体的本构关系,得到Bingham流体中蛋白质气泡在内外压力差、弹性有限变形应力及粘性耗散产生的应力共同作用下内径的非线性振动方程.运用数值方法求解该方程,对蛋白质气泡有限变形的振动特性进行分析.研究了流体的静压力、Bingham流体的特性参数、蛋白质膜的粘弹性对蛋白质气泡振动特性的影响.结果表明,蛋白质气泡膜的振动具有非线性特性,降低气泡内外的压力差,振幅减小,振幅随时间衰减变慢,振动频率降低,平衡时气泡变形小,变形达到平衡时所需的时间也相对较短;增加Bingham流体的塑性粘度会使振幅衰减速度加快,频率降低,平衡时气泡变形小;增加蛋白质膜的粘弹性会抑制气泡的振动,增强气泡承受载荷的能力.
According to the stress equation for finite deformation of viscoelastic protein bubble and the constitutive relation of Bingham fluid,the nonlinear equation describing the vibration of inner bubble radius yielded by the pressure difference, elastic stress and viscosity stress is developed for protein bubble in Bing- ham fluid. Based on this equation,the numerical simulation is conducted to analyze the effect of liquid static pressure,the plastic viscosity of Bingham fluid and the viscoelasticity of protein film on the vibration of protein bubble in Bingham fluid. The results show that, the vibration of bubble wall is nonlinear. Decrea- sing the pressure difference between both sides of bubble wall will lead to the bubble wall vibrating with smaller amplitude,with lower decrement velocity of amplitude and with lower frequency,and will also lead to the smaller deformation of bubble in balance state and needing less time to reach the balance state. In- creasing the plastic viscosity of liquid will lead to the bubble wall vibrating with higher decrement velocity of amplitude,with lower frequency,and will also lead to the bigger bubble size in balance state. Increasing the viscoelasticity of protein film can prohibit the vibration of bubble wall, and enhance the load-bearing capacity of protein bubble.
出处
《固体力学学报》
CAS
CSCD
北大核心
2008年第4期325-332,共8页
Chinese Journal of Solid Mechanics
