Stability analysis of an encapsulated microbubble against gas diffusion.
Stability analysis of an encapsulated microbubble against gas diffusion.
复制标题
DOI：
10.1016/j.jcis.2009.11.030
复制
发表时间：
2010-03-01
影响因子：
9.9
通讯作者：
Sarkar, Kausik
中科院分区：
文献类型：
--
作者：
Katiyar, Amit;Sarkar, Kausik
对微气泡内气体扩散的数学模型进行了线性稳定性分析。这是一个修正的爱泼斯坦-普莱塞特模型，考虑了包裹体的弹性和有限的气体渗透性。虽然考虑了含有空气以外的气体的气泡，但最终稳定的气泡(如果有的话)只包含空气，只有当周围的介质饱和或被空气过饱和时，才能实现稳定。在没有胶囊化弹性的情况下，对于零表面张力，只有中性的稳定性，而另一种溶液是不稳定的。对于弹性包络，根据饱和程度以及表面张力是小于还是高于弹性，可以得到不同的平衡解。对于弹性封装，弹性可以稳定气泡。然而，对有效表面张力(由参考表面张力和弹性应力组成)施加一个非负条件会导致平衡半径只是中性稳定的。如果包裹体能够承受净压应力，则达到实际的稳定性。线性稳定性结果与我们最近的数值结果是一致的。给出了各种平衡稳定或不稳定的物理机制。
Linear stability analysis is performed for a mathematical model of diffusion of gases from an encapsulated microbubble. It is an Epstein-Plesset model modified to account for encapsulation elasticity and finite gas permeability. Although, bubbles, containing gases other than air is considered, the final stable bubble, if any, contains only air, and stability is achieved only when the surrounding medium is saturated or oversaturated with air. In absence of encapsulation elasticity, only a neutral stability is achieved for zero surface tension, the other solution being unstable. For an elastic encapsulation, different equilibrium solutions are obtained depending on the saturation level and whether the surface tension is smaller or higher than the elasticity. For an elastic encapsulation, elasticity can stabilize the bubble. However, imposing a non-negativity condition on the effective surface tension (consisting of reference surface tension and the elastic stress) leads to an equilibrium radius which is only neutrally stable. If the encapsulation can support net compressive stress, it achieves actual stability. The linear stability results are consistent with our recent numerical findings. Physical mechanisms for the stability or instability of various equilibriums are provided.
登录
查看更多内容
影响因子：
2.9
作者：
Chatterjee, D;Sarkar, K
通讯作者：
Sarkar, K
影响因子：
37.8
作者：
Price, RJ;Skyba, DM;Skalak, TC
通讯作者：
Skalak, TC
DOI：
10.1061/(asce)0733-9429(1989)115:10(1297
发表时间：
1989-10-01
期刊：
JOURNAL OF HYDRAULIC ENGINEERING-ASCE
影响因子：
--
作者：
ARNDT, REA;VOIGT, RL;FERREIRA, A
通讯作者：
FERREIRA, A
影响因子：
3.9
作者：
Borden, MA;Longo, ML
通讯作者：
Longo, ML
影响因子：
3.9
作者：
Duncan, PB;Needham, D
通讯作者：
Needham, D