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Shear stress induced by a gas bubble pulsating in an ultrasonic field near a wall

机译:气泡在壁附近的超声场中脉动引起的切应力

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Some of the effects that therapeutic ultrasound has in medicine and biology may be associated with steady oscillations of gas bubbles in liquid, very close to tissue surface. The bubble oscillations induce on the surface steady shear stress attributed to microstreaming. A mathematical simulation of the problem for both free and capsulated bubbles, known as contrast agents, is presented here. The simulation is based on a solution of Laplace's equation for potential flow and existing models for microstreaming. The solution for potential flow was obtained numerically using a boundary integral method. The solution provides the evolution of the bubble shape, the distribution of the velocity potential on the surface, and the shear stress along the surface. The simulation shows that significant shear stresses develop on the surface when the bubble bounces near the tissue surface. In this case, pressure amplitude of 20 kPa generates maximal steady shear stress of several kilo Pascal. Substantial shear stress on the tissue surface takes place inside a circular zone with a radius about half of the bubble radius. The predicted shear stress is greater than stress that causes hemolysis in blood and several orders of magnitude greater than the physiological stress induced on the vessel wall by the flowing blood.
机译:治疗性超声波在医学和生物学中具有的某些作用可能与液体中非常接近组织表面的气泡的稳定振荡有关。气泡振荡在表面上引起归因于微流的稳定剪切应力。此处介绍了被称为造影剂的自由气泡和胶囊气泡问题的数学模拟。该模拟基于Laplace势流方程的解决方案和现有的微流模型。使用边界积分法数值获得势流解。该解决方案提供了气泡形状的演变,表面上速度势的分布以及沿表面的切应力。模拟显示,当气泡在组织表面附近反弹时,表面会产生明显的剪切应力。在这种情况下,20 kPa的压力振幅会产生几千帕斯卡的最大稳态剪切应力。组织表面上的大量剪切应力发生在圆形区域内,该圆形区域的半径约为气泡半径的一半。预测的剪切应力大于引起血液溶血的应力,比流动的血液在血管壁上引起的生理应力大几个数量级。

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