1997
DOI: 10.1243/0959651971539768
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Pressure pulsations in reciprocating pump piping systems Part 1: Modelling

Abstract: A distributed parameter model of pipeline transmission line behaviour is presented, based on a Galerkin method incorporating frequency-dependent friction. This is readily interfaced to an existing model of the pumping dynamics of a plunger pump to allow time-domain simulations of pipeline pressure pulsations in both suction and delivery lines. A new model for the pump inlet manifold is also proposed.

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Cited by 25 publications
(26 citation statements)
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“…However, via the MOC, they can be transformed into ordinary differential equations (Equations (8) and (9)) along the characteristic lines C + and C − .…”
Section: Methods Of Characteristicsmentioning
confidence: 99%
See 1 more Smart Citation
“…However, via the MOC, they can be transformed into ordinary differential equations (Equations (8) and (9)) along the characteristic lines C + and C − .…”
Section: Methods Of Characteristicsmentioning
confidence: 99%
“…Transient pressure pulsations often lead to unexpected chatter, overshooting, and a zero bias of tracking error in the electrohydraulic control system [4][5][6][7]. Shu et al [8][9][10] developed a vaporous cavitation model that used a two-phase homogeneous equilibrium to simulate pipeline pressure transients with upstream, midstream, and downstream cavitation. Bergant et al [11,12] discussed three cavitation models: the discrete vapor cavity model (DVCM), the discrete gas cavity model (DGCM), and the generalized interface vaporous cavitation model (GIVCM).…”
Section: Introductionmentioning
confidence: 99%
“…Decreasing cavitation and erosion under operating conditions leads to a longer life valve, resulting in reduced costs for the end user. Many authors (Johnston, 1991;Shu, Burrows, & Edge, 1997) in the past have studied PD pumps by means of analytic methods such as 1D lumped parameter models. Johnston's model, for instance, was composed "of a number of inter-linked mathematical models representing the pump components".…”
Section: Introductionmentioning
confidence: 99%
“…Johnson [20] developed a numerical model to further investigate the performance of reciprocating pumps with the inclusion of a mathematical model of the valves, however a constant inlet manifold pressure was assumed. Shu et al [21] proposed a model for the inlet manifold that accounts for the presence of air pockets and pressure variations as well as a finite element model based on the Galerkin method, for investigating pressure pulsations in the suction and discharge pipelines. However, scenarios of pumps with multiple cylinders were not investigated.…”
Section: Review Of Current Modelling Effortsmentioning
confidence: 99%
“…The kinematics of a reciprocating piston have been studied thoroughly in the literature [15,16,21]. In the simplest case, a piston-crank mechanism consists of a piston cylinder and a crankshaft which are connected by a connecting rod.…”
Section: Piston Kinematicsmentioning
confidence: 99%