1985
DOI: 10.1115/1.3242423
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Radial and Axial Variations in Transient Pressure Waves Transmitted Through Liquid Transmission Lines

Abstract: An implicit factorization method has been developed for solving numerically the complete two-dimensional Navier-Stokes and continuity equations for pressure transients in a slightly compressible viscous liquid contained in a rigid pipe. Two problems have been analyzed: (1) The stopping of a steady Poiseuille flow by closure of a valve, and (2), the initiation of a nearly rectangular pressure pulse at the end of the pipe. In problem (1), radial as well as axial pressure variations were found; nearly periodic da… Show more

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Cited by 26 publications
(18 citation statements)
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“…The intrinsic three dimensionality of turbulence can also be approximated by a Reynolds averaged Navier-Stokes equation (RANS) approach, such as two-equation turbulence models. Along this line, Mitra & Rouleau (1985) built a two-dimensional model for transient pipe flow. Vardy & Hwang (1991) neglected pressure variation in the radial direction and considered a plane wave solution with an algebraic turbulence model.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The intrinsic three dimensionality of turbulence can also be approximated by a Reynolds averaged Navier-Stokes equation (RANS) approach, such as two-equation turbulence models. Along this line, Mitra & Rouleau (1985) built a two-dimensional model for transient pipe flow. Vardy & Hwang (1991) neglected pressure variation in the radial direction and considered a plane wave solution with an algebraic turbulence model.…”
Section: Introductionmentioning
confidence: 99%
“…However, the quasi-two-dimensional model is not able to simulate pipes with partial blockages as the flow field is such that it minimally requires true two-dimensionality with the radial velocity component being taken into account. A possibility for developing such a model is to extend the model of Mitra & Rouleau (1985) to more complicated geometry. Alternatively, a general purpose computational fluid dynamics (CFD) software package may be employed as this class of model is capable of handling complex geometry.…”
Section: Introductionmentioning
confidence: 99%
“…The variations less unidirectional as stated in (Ghidaoui et al 2005), ``rapid and energy are far greater than their radial counterparts". A study on laminar water-hammer (Mitra and Rouleau 2005) and turbulent water-hammer (Vardy and Hwang 2005) also support the unidirectional approach in the problem formulation. Detailed literature on valve induced transients are available in the books (Wylie 2003, Tijsseling andBergant 2007) and related works are also reported in (Bazargan-Lari et al 2013, Choi et al 2015, Kodura 2016.…”
Section: Ous Valve Closurementioning
confidence: 64%
“…Numerical solutions based on the method of characteristics were applicable to the modified wave attenuation, as shown by Wylie and Streeter [11]. Mitra and Rouleau [38] developed a numerical method for fluid transients in rigid pipes, based on implicit factorization. Stuckenbruck et al [39] gave numerical results of an improved analysis of wave speed.…”
Section: Introductionmentioning
confidence: 99%