Oscillatory fluid flow in deformable tubes: Implications for pore-scale hydromechanics from comparing experimental observations with theoretical predictions.
Oscillatory fluid flow in deformable tubes: Implications for pore-scale hydromechanics from comparing experimental observations with theoretical predictions.
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DOI：
10.1121/1.4971365
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发表时间：
2016-12
期刊：
影响因子：
--
通讯作者：
P. Kurzeja;H. Steeb;M. A. Strutz;J. Renner
中科院分区：
文献类型：
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作者：
P. Kurzeja;H. Steeb;M. A. Strutz;J. Renner
振荡流的四种流体（空气，水，两种水钠钨酸盐溶液）被激发在频率高达250 Hz的两种材料（钢，硅树脂）的管覆盖了很宽的范围内的长度，直径和厚度。流体动力学响应的特点是在上游（压力激励）和下游水库的管道连接的压力之间的相移和振幅比。所得的驻波流波反映了粘度控制的扩散行为和惯性控制的波动行为的振荡频率相对较低和较高相比，毕奥的临界频率，分别。刚管理论与充空气或充水钢管的实验结果符合得很好。然而，对于填充有相当不可压缩的液体或空气的硅胶管观察到的波模式需要考虑固体的剪切模量和体积模量，以正确地预测压力传播的速度和变形模式。剪切模式可能是负责显着的宏观衰减在多孔材料的有效帧剪切模量低于体积模量的孔隙流体。尽管流体和固体的密度比以及声速和剪切速度比的影响显著，但毕奥频率仍然是从粘度到惯性控制状态的过渡的近似指标。
Oscillatory flow of four fluids (air, water, two aqueous sodium-tungstate solutions) was excited at frequencies up to 250 Hz in tubes of two materials (steel, silicone) covering a wide range in length, diameter, and thickness. The hydrodynamical response was characterized by phase shift and amplitude ratio between pressures in an upstream (pressure excitation) and a downstream reservoir connected by the tubes. The resulting standing flow waves reflect viscosity-controlled diffusive behavior and inertia-controlled wave behavior for oscillation frequencies relatively low and high compared to Biot's critical frequency, respectively. Rigid-tube theories correspond well with the experimental results for steel tubes filled with air or water. The wave modes observed for silicone tubes filled with the rather incompressible liquids or air, however, require accounting for the solid's shear and bulk modulus to correctly predict speed of pressure propagation and deformation mode. The shear mode may be responsible for significant macroscopic attenuation in porous materials with effective frame-shear moduli lower than the bulk modulus of the pore fluid. Despite notable effects of the ratio of densities and of acoustic and shear velocity of fluid and solid, Biot's frequency remains an approximate indicator of the transition from the viscosity to the inertia controlled regime.