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On the expansion wave problem in a long pipe with wal friction

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TLDR
In this article, the authors used matched asymptotic expansions to study the flow out of a long tube or pipeline caused by a sudden rupture, and showed that the flow in the tube generated by the expansion wave propagating into the tube from the break point is modified substantially by the presence of wall friction.
Abstract
The method of matched asymptotic expansions is used to study the flow out of a long tube or pipeline caused by a sudden rupture. The flow in the tube generated by the expansion wave propagating into the tube from the break point is shown to be modified substantially by the presence of wall friction. This depends primarily on the fact that, when there is wall friction, the velocity derivative along the tube becomes singular at the broken end exit for all times, as long as the flow is critical at the exit.

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Citations
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Journal ArticleDOI

Computation of natural gas pipeline rupture problems using the method of characteristics

TL;DR: In this paper, the flow in a long, high pressure, natural gas pipeline following sudden rupture was modelled as unsteady one-dimensional isothermal flow, and the set of h
Journal ArticleDOI

Gas flow in pipeline following a rupture computed by a spectral method

TL;DR: In this paper, the spectral method with Legendre-polynomials has been used to compute the blowdown process of a long pipeline and the effect of different treatments of the boundary conditions has been studied.
Journal ArticleDOI

Transient modeling of gas flow in pipelines following catastrophic failure

TL;DR: Simulating transient compressible adiabatic gas flows in a long pipeline following a catastrophic failure using an implicit high order finite difference scheme as a discretisation technique for convective terms shows that considerable pressure loss will occur at the breakpoint with a chocked flow at this point.

Analysis of safe separation distances from natural gas transmission pipelines

TL;DR: Haklar et al. as discussed by the authors proposed a method for evaluating safe separation distances from natural gas transmission pipelines, in which the point source method for determining heat flux is coupled with relationships for predicting both the mass release rate from the rupture and the flame height of the ignited gas.
Journal Article

Numerical Modeling of Transient Turbulent Gas Flow in a Pipe Following a Rupture

TL;DR: In this article, the transient flow of a compressible gas generated in a pipeline after an accidental rupture is studied numerically by solving the conservation equations of an equation for the near wall region and compressibility correction.
References
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BookDOI

Grundlagen der Gasdynamik

TL;DR: In this article, the dynamique des : gaz and ecoulement : instationnaire were used to describe the dynamiques of dynamique de gaz in the context of stationnaires.
Journal ArticleDOI

Unsteady compressible flow in long pipelines following a rupture

TL;DR: Fannelop and Ryhming as mentioned in this paper studied the effect of friction and choking on the flow rate at the broken pipe end and obtained (;p/?.~),+ - 7".
Journal ArticleDOI

Massive Release of Gas from Long Pipelines

TL;DR: In this paper, an integral method is proposed where spatial profiles of pressure and flow rate are assumed which satisfy the boundary conditions, and two procedures have been employed: sensitivity tests including systematic variations of profile families, and mathematical analysis of the PDE based on an iterative approach carried out to second order.
Journal ArticleDOI

Zur Anwendung numerischer Verfahren der Strömungslehre in der Realgasdynamik

TL;DR: In this article, a differentiellen Formulierung der Erhaltungssatze aus is discussed, i.e. the thermodynamischen Zusammenhange in differentieller Form.
Journal ArticleDOI

Transmission of a weak pressure step through a long tube

TL;DR: In this article, a long tube is filled with a viscous ideal gas and the signalp (x, t) generated by a weak pressure step at the open end of the tube is calculated and compared with experiments.
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