Experimental evidence of velocity profile inversion in developing laminar flow using magnetic resonance velocimetry

Experimental evidence of velocity profile inversion in developing laminar flow using magnetic resonance velocimetry
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使用磁共振测速法发展层流时速度剖面反演的实验证据

DOI:
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发表时间:
2018
影响因子:
3.7
通讯作者:
L. Gladden
L. Gladden
中科院分区:
工程技术2区
文献类型:
--
作者:
A. Reci;A. Sederman;L. Gladden

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近似Navier-Stokes方程的解析解和完全Navier-Stokes方程的数值有限差分解关于牛顿流体在圆柱形管道入口处层流发展的预测之间存在差异。从管道入口处的均匀速度分布开始,近似Navier-Stokes方程的解析解预测速度分布在任何时候都在管道中心处具有最大值。与此相反,数值有限差分解的完整的Navier-Stokes方程表明,速度最大值的位置移动从壁向中心的管道在一个短的距离从入口,之后,它仍然在中心的管道。这项研究提出了第一个实验证据的移动速度最大值从壁向中心的管道。通过使流体流过由窄的平行通道组成的整体件来实现初始均匀速度分布,并且使用磁共振测速仪来研究流动发展。实验观察到的变化的位置和大小的速度最大值与雷诺数和从入口到管道的距离示出是在良好的协议与预测的数值有限差分解的完整的Navier-Stokes方程。
A discrepancy exists between the predictions of analytical solutions of approximate Navier–Stokes equations and numerical finite-difference solutions of the full Navier–Stokes equations regarding the development of laminar flow at the entrance to cylindrical pipes for Newtonian fluids. Starting from a uniform velocity profile at the entrance to the pipe, analytical solutions of approximate Navier–Stokes equations predict the velocity profile to have a maximum at the centre of the pipe at all times. In contrast, numerical finite-difference solutions of the full Navier–Stokes equations have suggested that the location of the velocity maximum moves from the wall towards the centre of the pipe at a short distance from the entrance, after which it remains at the centre of the pipe. This study presents the first experimental evidence of the moving velocity maximum from the wall towards the centre of the pipe. The initial uniform velocity profile was achieved by flowing the fluid through a monolith composed of narrow parallel channels and the flow development was investigated using magnetic resonance velocimetry. The experimentally observed variation of the position and size of the velocity maximum with the Reynolds number and the distance from the entrance to the pipe is shown to be in good agreement with the predictions of numerical finite-difference solutions of the full Navier–Stokes equations.
DOI: 10.1016/j.jmr.2012.11.022
发表时间: 2013-04-01
影响因子: 2.2
作者:
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通讯作者: Sederman, Andrew J.
DOI: 10.1103/physreve.89.063009
发表时间: 2014-06
期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子: --
作者:
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通讯作者: A. Tayler;Martin Benning;A. Sederman;D. Holland;L. Gladden
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DOI: 10.1103/physrevlett.108.264505
发表时间: 2012
影响因子: 8.6
作者:
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通讯作者: Tayler AB