Spherical-bubble-based four-sensor probe signal processing algorithm for two-phase flow measurement

Shen, Xiuzhong; Nakamura, Hideo

doi:10.1016/j.ijmultiphaseflow.2013.11.010

Cited by 33 publications

(22 citation statements)

References 20 publications

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“…The definition diagram of α, β, and γ is shown in Figure . According to Cramer's Rule and the relation of trigonometric function which are used in the velocity measurement of Shen, the solutions to Eq. are yielded as follows.…”

Section: Measurement Model For the Dispersed Phase Hydrodynamic Charamentioning

confidence: 99%

“…Shen has described the algorithm of the spherical bubble size in detail with this equation. The droplet diameter can be described as follow:

true{\begin{matrix} | V |^{2} Δ t_{k a}^{2} - 2 (r + s_{4 - k}) \cdot V \cdot Δ t_{k a} + {false(boldr + {bolds}_{4 - k} false)}^{2} = | {boldr}^{'} |^{2} \\ | V |^{2} Δ t_{k b}^{2} - 2 (r + s_{4 - k}) \cdot V \cdot Δ t_{k b} + {false(boldr + {bolds}_{4 - k} false)}^{2} = | r ″ |^{2} \end{matrix}

…”

Section: Measurement Model For the Dispersed Phase Hydrodynamic Charamentioning

confidence: 99%

“…Xue developed a four‐point optical probe with appropriate data processing algorithm to obtain bubble velocity and size. Shen improved the four‐sensor probe methodology for the multidimensional two‐phase flow measurement. In recent years, double and tri‐sensor optical probe have also been applied to liquid–liquid two‐phase flow.…”

Section: Introductionmentioning

confidence: 99%

“…In this article, a four‐sensor optical probe with data processing algorithm has been used to determine the dispersed phase hydrodynamic characteristics in a pulsed sieve plate extraction column. This droplet velocity and diameter algorithms in liquid‐liquid two‐phase flow are based on the velocity model of Mishra, Lucas, and Shen . The influences of the pulsed intensity, the continuous and the dispersed phase superficial velocities on the hydrodynamic characteristics were investigated.…”

Section: Introductionmentioning

confidence: 99%

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A study on hydrodynamic characteristics in a Φ38 pulsed extraction column by four‐sensor optical fiber probe

Yuan

Gao

2016

AIChE Journal

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Accurate prediction of dispersed phase droplet behavior is crucial to the design and scaling‐up of an extraction column. In this article, the dispersed droplet velocity algorithm and the diameter algorithm in a liquid–liquid two‐phase flow have been developed based on the bubble velocity model in gas–liquid two‐phase flow of Lucas [Measurement Science & Technology. 749, 758(2005)] and Shen [International Journal of Multiphase Flow. 593, 617(2005)]. Hydrodynamic characteristics, including droplet diameter, holdup and droplet velocity, were measured using a self‐made four‐sensor optical fiber probe in a 38 mm‐diameter pulsed sieve‐plate extraction column. Water and kerosene were used as continuous and dispersed phases, respectively. The influences of the pulsed intensity, the continuous and dispersed phase superficial velocities on the hydrodynamic characteristics were investigated. The experimental results show that it is reliable to use a four‐sensor optical probe to measure the hydrodynamic characteristics of a pulsed extraction column. © 2016 American Institute of Chemical Engineers AIChE J, 63: 801–811, 2017

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Section: Measurement Model For the Dispersed Phase Hydrodynamic Charamentioning

confidence: 99%

“…Shen has described the algorithm of the spherical bubble size in detail with this equation. The droplet diameter can be described as follow:

true{\begin{matrix} | V |^{2} Δ t_{k a}^{2} - 2 (r + s_{4 - k}) \cdot V \cdot Δ t_{k a} + {false(boldr + {bolds}_{4 - k} false)}^{2} = | {boldr}^{'} |^{2} \\ | V |^{2} Δ t_{k b}^{2} - 2 (r + s_{4 - k}) \cdot V \cdot Δ t_{k b} + {false(boldr + {bolds}_{4 - k} false)}^{2} = | r ″ |^{2} \end{matrix}

…”

Section: Measurement Model For the Dispersed Phase Hydrodynamic Charamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A study on hydrodynamic characteristics in a Φ38 pulsed extraction column by four‐sensor optical fiber probe

Yuan

Gao

2016

AIChE Journal

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“…The algorithm uses the instantaneous interfacial normal unit vector and the local instantaneous three-dimensional interfacial displacement velocity vector for calculations. The study classified the bubbles into spherical bubbles and non-spherical bubbles (Shen and Nakamura, 2014). The major problem with their model is that it can only be used to determine if a bubble is spherical or not spherical.…”

Section: Introductionmentioning

confidence: 99%

Interfacial area measurement with new algorithm for grouping bubbles by diameter

Mills

Schlegel

2019

Exp. Comput. Multiph. Flow

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Many industrial systems make use of two-phase flows for processing or safety applications. Modeling these flows is essential for ensuring safety and engineering optimization. In general, these flows are modeled using the two-fluid model. Two key parameters in the two-fluid model are void fraction and interfacial area concentration. To improve model accuracy, the bubbles are typically broken up into groups based on transport properties and modeled separately. Such models must be validated using experimental data, which is often collected using intrusive probes such as electrical conductivity or optical void probes. Current algorithms for converting the signals from these instruments into void and interfacial area measurements struggled with missing interfaces due to signal rise and fall time. These types of instruments also use the chord length to classify the "group" of a bubble, which can lead to incorrect grouping behavior. In this paper, a new dynamic signal processing method and a grouping algorithm based on calculating bubble diameter have been introduced in an attempt to correct these inaccuracies. The ability of the new algorithm is to correctly identify smaller bubbles and to more accurately identify bubble signals is demonstrated by comparison of the output logic pulse for both the old and new algorithms with the same input signal. The new bubble size calculation means that a number of bubbles that were previously classified as "spherical/distorted" are now classified as "cap/slug/churn" bubbles. This leads to changes in average bubble properties. While these changes were expected in several cases, the increase was larger than the reported uncertainty of the instruments. This may indicate significant shortcomings in data analyzed using the previous algorithms. Additional data collection and analysis is required in order to evaluate this possibility. However, the new algorithm has a significant weakness: the bubble diameter calculation increases the computational time by an order of magnitude.

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Measuring Method of Solid-Liquid Two-Phase Flow in Slurry Pipeline for Deep-Sea Mining

Yang

Liu

2018

Thalassas

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Spherical-bubble-based four-sensor probe signal processing algorithm for two-phase flow measurement

Cited by 33 publications

References 20 publications

A study on hydrodynamic characteristics in a Φ38 pulsed extraction column by four‐sensor optical fiber probe

A study on hydrodynamic characteristics in a Φ38 pulsed extraction column by four‐sensor optical fiber probe

Interfacial area measurement with new algorithm for grouping bubbles by diameter

Measuring Method of Solid-Liquid Two-Phase Flow in Slurry Pipeline for Deep-Sea Mining

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