Structure of Pulsatile Hiemenz Flow and Temporal Variation of Wall Shear Stress near the Stagnation Point. I
Structure of Pulsatile Hiemenz Flow and Temporal Variation of Wall Shear Stress near the Stagnation Point. I
复制标题
脉动希门茨流的结构和驻点附近壁面剪应力的时间变化。
DOI：
10.1143/jpsj.42.2041
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发表时间：
1977
影响因子：
1.7
通讯作者：
Y. Matunobu
中科院分区：
文献类型：
--
作者：
Y. Matunobu
本文提出了二维粘性不可压缩流动的线性化Navier-Stokes方程，用于研究二维粘性不可压缩流动的时变结构和滞止点附近的壁面剪应力。结果表明，该方程为稳定的希门兹流提供了一个简单的解析解，它与最初由希门兹数值导出的精确解非常接近。因此，对于非定常希门兹流动，期望该方程也能描述流动结构。在脉动幅值较小的情况下，用解析形式计算了正向和斜向平面壁面的脉动希门兹流的摄动解，得到了在驻点附近脉动流的一些基本特征。
A linearized Navier-Stokes equation governing the two-dimensional viscous incompressible flow impinging on an infinite flat plate is suggested to investigate the time-dependent flow structure and the wall shear stress near the stagnation point. It can be shown that this equation yields a simple analytical solution for the steady Hiemenz flow, which is very close to the exact solution first derived numerically by Hiemenz. Therefore, it is expected that for unsteady Hiemenz flows this equation describes the flow structure as well. Perturbed solutions for a pulsatile Hiemenz flow directed normally and obliquely to the plane wall are calculated in analytical forms when the amplitude of pulsation is small, and show some essential features of the pulsatile flow near the stagnation point.