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Research Papers: Fundamental Issues and Canonical Flows

Radial Pressure Wave Behavior in Transient Laminar Pipe Flows Under Different Flow Perturbations

[+] Author and Article Information
Tong-Chuan Che

Department of Civil and
Environmental Engineering,
The Hong Kong Polytechnic University,
Hong Kong 999077, China
e-mail: tong-chuan.che@connect.polyu.hk

Huan-Feng Duan

Department of Civil and
Environmental Engineering,
The Hong Kong Polytechnic University,
Hong Kong 999077, China
e-mail: hf.duan@polyu.edu.hk

Pedro J. Lee

Department of Civil and Natural
Resources Engineering,
The University of Canterbury,
Private Bag,
Christchurch 4800, New Zealand
e-mail: pedro.lee@canterbury.ac.nz

Silvia Meniconi

Department of Civil and
Environmental Engineering,
University of Perugia,
Perugia 06125, Italy
e-mail: silvia.meniconi@unipg.it

Bin Pan

Department of Civil and
Environmental Engineering,
The Hong Kong Polytechnic University,
Hong Kong 999077, China
e-mail: bin.pan@connect.polyu.hk

Bruno Brunone

Department of Civil and
Environmental Engineering,
University of Perugia,
Perugia 06125, Italy
e-mail: bruno.brunone@unipg.it

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 6, 2017; final manuscript received March 7, 2018; published online May 2, 2018. Assoc. Editor: Ning Zhang.

J. Fluids Eng 140(10), 101203 (May 02, 2018) (13 pages) Paper No: FE-17-1786; doi: 10.1115/1.4039711 History: Received December 06, 2017; Revised March 07, 2018

The study of transient pressure waves in both low- and high-frequency domains has become a new research area to provide potentially high-resolution pipe fault detection methods. In previous research works, radial pressure waves were evidently observed after stopping the laminar pipe flows by valve closures, but the generation mechanism and components of these radial pressure waves are unclear. This paper intends to clarify this phenomenon. To this end, this study first addresses the inefficiencies of the current numerical scheme for the full two-dimensional (full-2D) water hammer model. The modified efficient full-2D model is then implemented into a practical reservoir-pipeline-valve (RPV) system, which is validated by the well-established analytical solutions. The generation mechanism and components of the radial pressure waves, caused by different flow perturbations from valve operations, in transient laminar flows are investigated systematically using this efficient full-2D model. The results indicate that nonuniform changes in the initial velocity profile form pressure gradients along the pipe radius. The existence of these radial pressure gradients is the driving force of the formation of radial flux and radial pressure waves. In addition, high radial modes can be excited, and the frequency of flow perturbations by valve oscillation can redistribute the energy entrapped in each high radial mode.

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Figures

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Fig. 1

A RPV experimental system

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Fig. 2

The initial velocity profile (solid line) and area-averaged velocity (dashed line) for laminar pipe flows

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Fig. 3

Pressure time history at the downstream valve for three different radial points

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Fig. 4

Pressure time history for various grid density at (a) the downstream valve and (b) the midlength of the pipe

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Fig. 5

Pressure time history at (a) the downstream valve and (b) the midlength of the pipe

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Fig. 6

Cutoff frequency (dashed line) and group velocity for each mode

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Fig. 7

The temporal variations of pressure at the downstream valve

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Fig. 8

(a) Radial pressure profiles at nine time points within one period of the pressure fluctuation and (b) the pressure signal after valve closure in the frequency domain

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Fig. 9

The temporal variations of pressure at midlength of the pipe

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Fig. 10

The change of velocity profile (before and after the wave front) at midlength of the pipe

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Fig. 11

The temporal variations of pressure at the downstream valve

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Fig. 12

(a) Radial pressure profiles at nine time points within one period of the valve oscillation and (b) the pressure signal during the valve oscillation in the frequency domain

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Fig. 13

(a) Radial pressure profiles at nine time points within one period of the pressure fluctuation after the valve closure and (b) the pressure signal after the valve closure in the frequency domain

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Fig. 14

The temporal variations of pressure at midlength of the pipe

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Fig. 15

The temporal variations of pressure at the downstream valve

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Fig. 16

(a) Radial pressure profiles at nine time points within one period of the valve oscillation and (b) the pressure signal during the valve oscillation in the frequency domain

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Fig. 17

(a) Radial pressure profiles at nine time points within one period of the pressure fluctuation after valve closure and (b) the pressure signal after the valve closure in the frequency domain

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Fig. 18

The temporal variations of pressure at midlength of the pipe

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