First-Order Pump Surge Behavior

Rothe, P.H.; Runstadler, P. W.

doi:10.1115/1.3448708

Cited by 12 publications

(4 citation statements)

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“…Much of the physical interpretation given previously (for the axial compressor) can be taken over to these centrifugal pumping systems. For example, with reference to previous remarks on the physical significance of the B parameter, it is to be expected that the amplitude of the limit cycle system oscillation should increase as the compliant volume is increased, and this is seen in the data shown in [72]. Thus the overall conclusion is that the same type of lumped parameter compression system analysis that has been described with regard to axial compressor systems is also applicable to transients with centrifugal pumps.…”

Section: Ill Centrifugal Compressor Pumping Systemsmentioning

confidence: 58%

“…1 has, in fact, been tested by Rothe and Runstadler (the only minor difference being that their facility was closed loop rather than open loop) [72]. The mass storage capability of their system could be varied by changing the amount of liquid in the closed volume, so that experiments to determine the influence of the system compliance could be run (similar to those carried out in [32], [62] for the axial compressor).…”

Section: Ill Centrifugal Compressor Pumping Systemsmentioning

confidence: 98%

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The Stability of Pumping Systems—The 1980 Freeman Scholar Lecture

Greitzer

1981

Journal of Fluids Engineering

285

131

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A review is presented of the types of instabilities which are encountered in pumping systems of technological interest. These include axial and centrifugal compression systems, pumping systems involving cavitation, systems with two-phase flow, systems with combustion, hydraulic systems, and systems which have two or more pumping elements in parallel. All of the above will be seen to exhibit instabilities under certain operating conditions, although the mechanism of instability, as well as the particular system element that is responsible for the instability, will be quite different in the different systems. However, several basic concepts, such as the idea of negative damping which is associated with dynamic instability, will be seen to be common to the different systems. The review is organized around the different types of systems that are discussed, and includes descriptions of the steady-state performance, the regimes in which one would expect instability, and the mechanisms of instability. An idealized pumping system is first examined to illustrate some of the basic concepts. More realistic systems are then treated in the same manner of showing steady-state performance, regimes of instability and mechanisms. In the review attention is given mainly to those areas in which there is high current engineering interest, and an attempt is made to describe those areas of research which can be most fruitfully pursued. In general, it is suggested that efforts should be directed toward obtaining an improved understanding of the transient behavior of the active (instability causing) elements within the system, since it is lack of knowledge of this aspect that currently limits the accuracy of system stability predictions.

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Section: Ill Centrifugal Compressor Pumping Systemsmentioning

confidence: 58%

Section: Ill Centrifugal Compressor Pumping Systemsmentioning

confidence: 98%

The Stability of Pumping Systems—The 1980 Freeman Scholar Lecture

Greitzer

1981

Journal of Fluids Engineering

285

131

View full text Add to dashboard Cite

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“…However, as with interpolation, for the special case of hyperbolic problems, secondand higher-order integration methods do not give better accuracy than simple first-order Euler integration (Suwan, 1989 The conventional approach to pump or compressor surge (Rothe and Runstadler, 1978;Greitzer, 1981), for example, ignores distributed-fluid and pipe-elasticity effects, but these are readily incorporated using the MOL.…”

Section: (I) Choice Of Form Of Basic Equationsmentioning

confidence: 99%

Lumped-parameter representation of fluid-system transients

Suwan

Anderson

1991

Transactions of the Institute of Measurement and Control

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Flow and pressure transients in closed pipes are described by non-linear hyperbolic partial differential equations. In many control applications a discrete-space lumped-parameter ordinary differential equation model is required. With such representations, care is needed to ensure that they retain essential physical characteristics of the phenomena described. Intentionally or otherwise, most of these fluid-system models are related to the numerical discretisation technique known as the Method of Lines. Aspects of implementing this are investigated, including the form of the basic equations and variables, representation of pipe friction, choice of interpolating polynomials in space and method of integration in time. These are compared with the standard Method of Characteristics solution for the original partial differential equations to eliminate any potential numerical instabilities, parasitic transient solutions or inconsistencies between steady and transient states which might influence adversely system control or stability studies. The Method of Lines is most appropriate for parabolic problems, and many existing applications to fluid transients are found to be satisfactory only where changes are gradual and continuous. The preferred formulation is free from this restriction, and applied to a stability investigation (prediction of compressor surging) is shown to perform reliably.

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“…Figure 24.8 shows a modification in Fig. 24.5, where a plenum with pressurized air is located at the outlet of pumping system [Gr81], [RoRu78]. The plenum acts as a buffer tank.…”

Section: Dynamic Instabilitymentioning

confidence: 99%

Integral Methods in Science and Engineering

2013

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First-Order Pump Surge Behavior

Cited by 12 publications

References 0 publications

The Stability of Pumping Systems—The 1980 Freeman Scholar Lecture

The Stability of Pumping Systems—The 1980 Freeman Scholar Lecture

Lumped-parameter representation of fluid-system transients

Integral Methods in Science and Engineering

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