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Analytical and numerical treatment of pulsed wave propagation intoa viscous fluid

机译:脉冲波传播到粘性流体的解析和数值处理

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A transient analytical expression for the propagation of pulsednultrasound through a viscous fluid is derived by evaluating the Laplacentransform in the complex domain. The numerical solution of the viscousnwave equation without any restricting approximations is developed for anfull space with an impulsive excitation at the origin. Different valuesnof the viscosity coefficient for a given sound speed clearly delineatenthe transition from a pure parabolic, or diffusive to a pure hyperbolicnor wave propagation behavior. This region is often of crucial importancenfrom a practical point of view as ultrasonic instrumentation in medicalnimaging and nondestructive testing must compensate not only for phasendifferences due to propagation delays but also for pulse distortion duento attenuation mechanisms in the medium of interest
机译:通过评估复杂域中的拉普拉斯变换,导出了脉冲超声在粘性流体中传播的瞬态分析表达式。对于在原点具有脉冲激励的完整空间,开发了没有任何近似限制的粘滞波方程的数值解。对于给定的声速,粘度系数的不同值清楚地描述了从纯抛物线或扩散到纯双曲线norwave传播行为的过渡。从实用的角度来看,该区域通常至关重要,因为医学成像和无损检测中的超声仪器不仅必须补偿由于传播延迟引起的相位差,而且还必须补偿由于感兴趣介质中的衰减机制引起的脉冲失真。

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