2009
DOI: 10.1016/j.flowmeasinst.2009.08.004
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Development and assessment of a new operating principle for the measurement of unsteady flow rates in high-pressure pipelines

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Cited by 19 publications
(12 citation statements)
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References 14 publications
(28 reference statements)
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“…If a uniform (or flat) 1D velocity profile is assumed, the unsteady Bernoulli relation can be expressed in terms of flowrate and differential pressure [13]. Since this relation is used for measuring bidirectional oscillating flows, the term has to be direction-sensitive, and is replaced by | | as proposed in [4] and [5]. This yields the compact differential relation (7), of which the solution gives the instantaneous flowrate.…”
Section: Methodsmentioning
confidence: 99%
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“…If a uniform (or flat) 1D velocity profile is assumed, the unsteady Bernoulli relation can be expressed in terms of flowrate and differential pressure [13]. Since this relation is used for measuring bidirectional oscillating flows, the term has to be direction-sensitive, and is replaced by | | as proposed in [4] and [5]. This yields the compact differential relation (7), of which the solution gives the instantaneous flowrate.…”
Section: Methodsmentioning
confidence: 99%
“…Other authors developed a similar momentum balance technique based on pressure gradient measurement in a high-pressure hydraulic pipeline application, where compressibility effects and wave travel speeds had to be taken into account [5]. On the other hand, for laminar and incompressible unsteady flows, some authors used an analytical flow model to enhance flow measurements obtained from pressure gradient [6] or centerline velocity [7,8,9].…”
Section: A Flowmeter For Unsteady Liquid Flow Measurements In Total Lmentioning
confidence: 99%
“…21 The instantaneous volumetric flow-rate fluctuations (Δ Q ) with respect to the mean value are calculated from the measured pressure time histories on the basis of the 1D momentum balance equation that is solved for the piece of pipeline between the two pressure transducers. The following relations are used in the Flotec control unit to evaluate Δ Q 22 where δp ( t ) is the instantaneous difference between the pressure time histories measured with the GS XPM5 transducers, a k and b k ∀ k ≥ 1 are the coefficients of the k -th harmonic term with circular frequency ω k =2 k π/ T of the Fourier series of δ p ( N corresponds to 95% of the energy of the Δ p Fourier spectrum) and ρ is the oil density. The latter can be evaluated as a function of mean pressure and temperature.…”
Section: Fluid Power System Descriptionmentioning
confidence: 99%
“…Finally, piezo-resistive transducers were installed to acquire the pressure transients in the rail and at two locations along the pump-to-rail pipe in order to be able to evaluate the pump-delivered flow-rate time distribution by means of a prototypal flowmeter. 9,20…”
Section: Experimental Facilitymentioning
confidence: 99%