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Coriolis flowmeter: 1-process connection flange; 2-flow tubes; 3-current controller; 4-support; 5-measuring coils; 6-drive coil; 7-weights
Source publication
The paper describes the calculated and experimental determination of the oscillation modes of a Coriolis flowmeter. To define the estimated parametric oscillation modes, we formed a model of the volumetric flowmeter finite element. The model allows the evaluation of the impact of changes in the meter size and the medium density on the flowmeter fre...
Citations
... However, these configuration features may influence the simulation accuracy, as was suggested by Sultan and Hemp [7]. Furthermore, Bobovnik et al. [18,22] suggested that the consideration of braces as well as the masses of sensors and the driver is necessary. At the same time, Kumar and Anklin [14] and Taluja et al. [23] included braces in the simulation but not the masses of sensors and the driver. ...
Numerical simulation is a widely used tool for Coriolis flowmeter (CFM) operation analysis. However, there is a lack of experimentally validated methodologies for the CFM simulation. Moreover, there is no consensus on suitable turbulence models and configuration simplifications. The present study intends to address these questions in a framework of a fluid-solid interaction simulation methodology by coupling the finite volume method and finite element method for fluid and solid domains, respectively. The Reynolds stresses (RSM) and eddy viscosity-based turbulence models are explored and compared for CFM simulations. The effects of different configuration simplifications are investigated. It is demonstrated that the RSM model is favorable for the CFM operation simulations. It is also shown that the configuration simplifications should not include the braces neglect or the equivalent flowmeter tube length assumption. The simulation results are validated by earlier experimental data, showing a less than 5% discrepancy. The proposed methodology will increase the confidence in CFM operation simulations and consequently provide the foundation for further studies of flowmeter usage in various fields.
... It also shows that the GVF has a certain impact on the vibration response output of measuring tube. The vibration frequency of each order of measuring tube increases with decrease in mixing density of fluid [22]. With an increase in mode, the vibration frequencies also increase by multiples. ...
Gas-liquid two-phase flows generally have the characteristics of complex and variable flow patterns and flow rate uncertainty of each phase. The entrainment of gas increases errors of the existing non-separated multiphase metering. A novel metering method based on the multi-frequency Coriolis principle is proposed to solve the above problems. Compared to the conventional Coriolis mass flowmeter, the third-order mode of the measuring tube is used to improve the accuracy of the measurement. The influences of bubble effect and resonance effect on vibration responses in different vibrational modes were studied to determine the deviations of the apparent values of total density and mass flowrate by simulation. Simulation results with a single-frequency Coriolis flowmeter show that the maximum relative deviations of total density and total mass flowrate are −37.3% and −9.3%, respectively. Driven by different frequencies, the same two phase fluid in the measuring tube can have different responses of the primary mode and the higher vibrational modes. The vibrational responses characteristics corresponding to the first-order and third-order modes of measuring tube were selected and analyzed. Combined with advantages of high precision and multi-parameter measurement of traditional single-frequency Coriolis flowmeters, a multi-frequency correction model suitable for stratified flow was proposed. The results show that the corrected total density and mass flow deviations of gas-containing fluid are within ±4% and ±3%, respectively, which are significantly reduced. Corrected flowrate deviations of the gas-phase and liquid-phase are ±9.1% and ±7.2%, correspondingly, which also meet the metering requirements of the wellhead.
... Harmonic response analysis are used to determine the steady-state response of a linear structure to loads that vary sinusoidally (harmonically) with time, thus enabling you to verify whether or not your designs will successfully overcome resonance, fatigue, and other harmful effects of forced vibrations. To understand the dynamic of mechanical system is of great importance for the creation and improvement of new design as well as for solving the problems associated with the mechanical vibrations of existing structures [4,5]. An effective tool for studying the dynamic properties of the system is the modelling of the dynamic behaviour of structures using the finite element method [6,7]. ...
This article describes the simulation and experimental determination of the oscillation modes of a Coriolis Mass Flowmeter (CMF). The authors use the SolidWorks software to create a suitable model which is a double U-type of CMF. Based on SolidWorks software, the authors established the double-U tube model for CMF, adopted ANSYS-Workbench simulation software to make the modal analysis, and the exciting mode and Coriolis force mode of CMF are obtained by simulation. According to the results of modal analysis, the authors made the harmonic response analysis of the Flowmeter, got the displacement amplitude of the U-shaped tube excited by different frequency loads under the exciting force, and the maximum displacement amplitude at the resonant frequency was determined. Next, the authors use a laser vibrometer to perform an experimental modal test on the flowmeter. The result of the simulation of the finite element model was verified by modal test of the flowmeter. Provides an effective reference for CMF modelling and simulation in the future.
... Then, by using the PolyMax algorithm [21,22] on frequency response functions, we identified the modal shapes, modal frequencies and modal damping factor of the flowmeter, cf. [23,24,25,26]. In the investigated frequency range (up to 400 Hz), we spotted four natural mode shapes of the tubes. ...
A 1D numerical model of a straight-tube Coriolis meter has been implemented and used to generate a simple and intuitive parametric relationship to predict sensitivity. This model is intended to aid the design of such meters and avoid the need to run a large number of time-consuming simulations. Three parameters were identified as being instrumental in determining the sensitivity of a meter: dimensionless bending stiffness (Σ̃), proximity to the Euler buckling limit (R̃) and the dimensionless sensor spacing (χ̃). Parametric relationships for sensitivity (dimensionless time-lag) and natural frequency were developed. These equations allow for the complete and rapid design of a straight-tube Coriolis meter with insignificant computational effort. The parametric model was validated against 11 experimental data sets, covering a range of flow conditions, tensions and materials. In all cases, the parametric model performed well, reporting a typical error of 2 to 5%.
To detect the phase difference of two vibration signals in a Coriolis flowmeter, the commonly used methods include the zero crossing phase detection method, the correlation function method and the Fourier transform method. However, these methods are subject to low accuracy, entire-cycle sampling and excessive calculation. To solve these problems, a Coriolis flowmeter experimental system was initially modeled, and then a phase difference detection method was built based on least squares and curve fitting. The results showed that this method could reduce the amount of calculation significantly without reducing the detection accuracy or adjusting the entire-cycle sampling. A simulation and a single-phase flow experiment indicated that this method was simple, practical and efficient, and it provided a new method for data processing with a Coriolis flowmeter.
Coriolis flowmeters are widely used in various industries for their high accuracy in density and mass flow measurement. However, for wellhead produced fluid with low gas content, its metering accuracy will be affected by entrained gas in the fluid. The bubble effect and increase of fluid compressibility have a major impact on the measurement results. In this paper, the influences of gas volume fraction and flow conditions on measurement deviations of Coriolis flowmeter are analyzed by Finite Element Analysis (FEA) method in case of low GVF that is lower than 10%. The deviations induced by the bubble effect and resonance effect under the influence of low gas content and flow conditions increase the metering errors of Coriolis flowmeters. The simulation results show that the deviations of fluid density increase negatively with the increase of gas content and the maximum deviation is 37.273%; the deviations of mass flow increase at first and then decrease, and the maximum deviation is −9.311%. A novel method based on correction model of the measurement deviations induced by bubble and resonance Coriolis effect with known gas-liquid ratio is proposed to accurately measure various parameters of wellhead produced fluid. The corrected results show that for the low gas content range (i.e. 0 to 10% GVF), the deviations of gas-containing fluid density and mass flow do not exceed ±0.3% and ±0.5% respectively, which are significantly lower than those before.
