论文标题
具有热雾边界层的压力声学理论和弹性腔中的流媒
Theory of pressure acoustics with thermoviscous boundary layers and streaming in elastic cavities
论文作者
论文摘要
我们提出了一种有效的大气流体的热雾理论，包括压力声学，热盘边界层以及嵌入弹性腔中的流体的流媒体。通过包括热场，我们通过Bach和Bruus，J。Acoust扩展了有效的粘性理论。 Soc。是。 144，766（2018）。声学场和热雾的边界层在分析上作为有效的边界条件和热声散装场上的时间平均体力进行分析。因为它避免了解决薄边界层，所以有效模型允许在Acoustofluidic系统的3D模型中对热录像和时间平均场进行数值模拟。我们展示了声流如何通过材料参数的温度依赖性（尤其是粘度和可压缩性）在很大程度上取决于稳定和振荡的热场，从而影响了边界条件和在整体中产生额外的身体力量。我们还显示，即使是较小的稳定温度梯度（1 K/mm）如何诱导可压缩性和密度梯度，这可能导致中度声能密度（100 J/m^3）的流速度（1 mm/s）非常高。
We present an effective thermoviscous theory of acoustofluidics including pressure acoustics, thermoviscous boundary layers, and streaming for fluids embedded in elastic cavities. By including thermal fields, we thus extend the effective viscous theory by Bach and Bruus, J. Acoust. Soc. Am. 144, 766 (2018). The acoustic temperature field and the thermoviscous boundary layers are incorporated analytically as effective boundary conditions and time-averaged body forces on the thermoacoustic bulk fields. Because it avoids resolving the thin boundary layers, the effective model allows for numerical simulation of both thermoviscous acoustic and time-averaged fields in 3D models of acoustofluidic systems. We show how the acoustic streaming depends strongly on steady and oscillating thermal fields through the temperature dependency of the material parameters, in particular the viscosity and the compressibility, affecting both the boundary conditions and spawning additional body forces in the bulk. We also show how even small steady temperature gradients (1 K/mm) induce gradients in compressibility and density that may result in very high streaming velocities (1 mm/s) for moderate acoustic energy densities (100 J/m^3).
