Formulation and validation of boundary conditions at a branched junction for nonlinear waves

Chae, Kang Seog; Lee, Kyung Tae; Hwang, Chang Jeon; Lee, Duck Joo

doi:10.1016/j.jsv.2005.11.023

Journal of Sound and Vibration

2006

DOI: 10.1016/j.jsv.2005.11.023

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Formulation and validation of boundary conditions at a branched junction for nonlinear waves

Kang Seog Chae

Kyung Tae Lee

Chang Jeon Hwang

et al.

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Cited by 4 publications

(2 citation statements)

References 14 publications

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“…method which considers the pressure loss by using an iterative calculation. Chae et al (8) proposed a treatment of a branch element in a difference method to perform a nonlinear pressure wave analysis.In the present paper, we propose a treatment of a branch element using the concentrated mass model. First, we propose a model of a branch element in which the nonlinear dampers are derived from the pressure loss at a branched junction.…”

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Nonlinear Pressure Wave Analysis by Concentrated Mass Model

Ishikawa

Kondou

Matsuzaki

2010

JSDD

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A pressure wave propagating in a tube often changes to a shock wave because of the nonlinear effect of the fluid it is traveling through. The purpose of this study is to establish a practical analytical model to analyze this phenomenon. In previous reports, a concentrated mass model was proposed to analyze nonlinear pressure wave phenomena in a straight cylindrical tube. In this paper, the modeling of a branched junction is proposed. The model of the branched junction consists of masses, nonlinear pressure elements, base support dampers, and nonlinear dampers. The nonlinear damper is derived from the pressure loss at the branched junction. To confirm the validity of the proposed branch model, the numerical results obtained from the concentrated mass model are compared with the theoretical value of the transmission loss of a branch pipe. Additionally, an experiment on a sound tube with a branch pipe is performed and the experimental results are compared with the numerical result. All computational results agree very well with the theoretical value and the experimental results. Therefore, it is concluded that the proposed branch model is valid for the numerical analysis of nonlinear pressure wave problem in a tube with a branch pipe. method which considers the pressure loss by using an iterative calculation. Chae et al. (8) proposed a treatment of a branch element in a difference method to perform a nonlinear pressure wave analysis.In the present paper, we propose a treatment of a branch element using the concentrated mass model. First, we propose a model of a branch element in which the nonlinear dampers are derived from the pressure loss at a branched junction. Next, we compare the numerical results from the concentrated mass model with the transmission loss (9) to confirm the validity of the branch model in a linear region. Then, we consider an experiment on a sound tube with a branch pipe to confirm the validity of the branch model in a nonlinear region. Furthermore, we investigate the reduction effect of a branch pipe on a standing pressure wave. This effect has not been studied before.

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confidence: 99%

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confidence: 99%

Nonlinear Pressure Wave Analysis by Concentrated Mass Model

Ishikawa

Kondou

Matsuzaki

2010

JSDD

View full text Add to dashboard Cite

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Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions

Daude

2020

Nuclear Engineering and Design

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Formulation of consistent finite volume schemes for hydraulic transients

Sohani

Ghidaoui

2018

Journal of Hydraulic Research

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Formulation and validation of boundary conditions at a branched junction for nonlinear waves

Cited by 4 publications

References 14 publications

Nonlinear Pressure Wave Analysis by Concentrated Mass Model

Nonlinear Pressure Wave Analysis by Concentrated Mass Model

Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions

Formulation of consistent finite volume schemes for hydraulic transients

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