Two-dimensional Rayleigh model for bubble evolution in soft tissue
Two-dimensional Rayleigh model for bubble evolution in soft tissue
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DOI：
10.1063/1.1467654
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发表时间：
2002-05-01
影响因子：
4.6
通讯作者：
Glinsky, ME
中科院分区：
文献类型：
--
作者：
Friedman, M;Strauss, M;Glinsky, ME
过去，要了解光纤尖端附近软组织中蒸汽气泡的产生，需要进行二维(2D)流体动力学模拟。对于一维球形气泡的膨胀，可以采用简化而实用的瑞利型模型。对于二维气泡的演化，还没有发展出这样的模型。在这项工作中，我们开发了一个二维气泡膨胀的瑞利型模型，该模型比二维流体力学模拟快得多，而且简单得多，可以应用于基于纤维的医疗疗法的设计和理解。该模型基于流体动力运动的流势表示，并由在气泡表面具有运动边界条件的拉普拉斯方程描述。为了使瑞利型2D模型更接近软组织中气泡的演化过程，我们在流体描述中加入了粘度和表面张力。我们证明了一维瑞利方程是我们模型的一个特例。拉普拉斯方程由有限元解算器使用快速的三角形非结构网格生成器来求解。我们的模拟包含了实验中所看到的气泡演化特征，并与二维水动力模拟相一致。(C)2002年美国物理研究所。
The understanding of vapor bubble generation in a soft tissue near a fiber-optic tip has in the past required two-dimensional (2D) hydrodynamic simulations. For 1D spherical bubble expansions a simplified and useful Rayleigh-type model can be applied. For 2D bubble evolution, such a model has not been developed. In this work we develop a Rayleigh-type model for 2D bubble expansion that is much faster and simpler than 2D hydrodynamic simulations and can be applied toward the design and understanding of fiber-based medical therapies. The model is based on a flow potential representation of the hydrodynamic motion and is described by a Laplace equation with a moving boundary condition at the bubble surface. In order for the Rayleigh-type 2D model to approximate bubble evolution in soft tissue, we include viscosity and surface tension in the fluid description. We show that the 1D Rayleigh equation is a special case of our model. The Laplace equation is solved for each time step by a finite-element solver using a fast triangular unstructured mesh generator. Our simulations include features of bubble evolution as seen in experiments and are in good agreement with 2D hydrodynamic simulations. (C) 2002 American Institute of Physics.