Correction of Terminal Velocity Prediction Model for CO<sub>2</sub>-Kerosene and Air-Kerosene Systems by Artificial Intelligence

Sadra Mahmoudi; Bahram Hashemi Shahraki; Masoud Aghajani

doi:doi:10.11648/j.se.20170505.11

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Correction of Terminal Velocity Prediction Model for CO₂-Kerosene and Air-Kerosene Systems by Artificial Intelligence

Sadra Mahmoudi, Bahram Hashemi Shahraki, Masoud Aghajani

Published in Software Engineering (Volume 5, Issue 5)

Received: 28 November 2017 Accepted: 7 December 2017 Published: 2 January 2018

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Abstract

In this study the essential factors of rising air and CO₂ bubbles in distillated water and kerosene investigate with the experimental and theoretical attitude. Many formulas developed by pervious investigators for bubble terminal velocity prediction in air-water system. By using PSO (particle swarm optimization) algorithm and plotting experimental data of terminal velocity against the size of gas bubbles, suitable was chosen. Results showed that Jamialahmadi model is more practical for air-water and CO₂-water system. The main aim of this paper is to validate and correct Jamialahmadi model for predicting of bubble’s terminal velocities in air-kerosene and CO₂-kerosene systems. Jamialahmadi model requires a modification to be utilized for air-kerosene and CO₂-kerosene system. The developed PSO algorithm model is accurate for prediction of experimental data with an average R² value of 0.976.

Published in	Software Engineering (Volume 5, Issue 5)
DOI	10.11648/j.se.20170505.11
Page(s)	65-71
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

PSO Algorithm, Kerosene, Distillated Water, Carbon Dioxide, Bubble Column

References

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[2]	Kurimoto, R., Hayashi, K. and Tomiyama, A., 2013. "Terminal velocities of clean and fully-contaminated drops in vertical pipes". International Journal of Multiphase Flow, 49, pp. 8-23.
[3]	Kulkarni, A., 2005. "Effect of sparger design on the local flow field in a bubble column: Analysis using LDA". Chemical Engineering Research and Design, 83 (1), pp. 59-66.
[4]	Tomiyama, A., Celata, G., Hosokawa, S. and Yoshida, S., 2002. "Terminal velocity of single bubbles in surface tension force dominant regime". International Journal of Multiphase Flow, 28 (9), pp. 1497-1519.
[5]	Celata, G. P., D’Annibale, F., Di Marco, P., Memoli, G. and Tomiyama, A., 2007. "Measurements of rising velocity of a small bubble in a stagnant fluid in one-and two-component systems". Experimental Thermal and Fluid Science, 31 (6), pp. 609-623.
[6]	Kulkarni, A. A. and Joshi, J. B., 2005. "Bubble formation and bubble rise velocity in gas− liquid systems: a review". Industrial & Engineering Chemistry Research, 44 (16), pp. 5873-5931.
[7]	Abou-El-Hassan, M., 1983. "A generalized bubble rise velocity correlation". Chemical Engineering Communications, 22 (3-4), pp. 243-250.
[8]	Rodrigue, D., 2004. "A general correlation for the rise velocity of single gas bubbles". The Canadian Journal of Chemical Engineering, 82 (2), pp. 382-386.
[9]	Mendelson, H. D., 1967. "The prediction of bubble terminal velocities from wave theory". AIChE Journal, 13 (2), pp. 250-253.
[10]	Duangsuwan, W., Tuzun, U. and Sermon, P., 2011. "The dynamics of single air bubbles and alcohol drops in sunflower oil at various temperatures". AIChE journal, 57 (4), pp. 897-910.
[11]	Ziqi, C., Yuyun, B. and Zhengming, G., 2010. "Hydrodynamic behavior of a single bubble rising in viscous liquids". Chinese Journal of Chemical Engineering, 18 (6), pp. 923-930.
[12]	Jamialahmadi, M., Branch, C. and Müller-Steinhagen, H., 1994. "Terminal bubble rise velocity in liquids". Chemical engineering research & design, 72 (1), pp. 119-122.
[13]	Hadamard, J. S., 1911. "Movement permanent lent d’une sph`ere liquide et visqueuse dans un liquide visqueux.". Comptes Rendus Hebdomadaires des Seances de V Academie des Sciences (Paris).
[14]	Bozzano, G. and Dente, M., 2001. "Shape and terminal velocity of single bubble motion: a novel approach". Computers & chemical engineering, 25 (4), pp. 571-576.
[15]	Baz-Rodriguez, S., Aguilar-Corona, A. and Soria, A., 2012. "Rising velocity for single bubbles in pure liquids". Revista mexicana de ingeniería química, 11 (2).
[16]	Moore, D., 1965. "The velocity of rise of distorted gas bubbles in a liquid of small viscosity". Journal of Fluid Mechanics, 23 (4), pp. 749-766.
[17]	Lehrer, I. H., 1976. "A rational terminal velocity equation for bubbles and drops at intermediate and high Reynolds numbers". Journal of Chemical Engineering of Japan, 9 (3), pp. 237-240.
[18]	Moore, D., 1963. "The boundary layer on a spherical gas bubble". Journal of Fluid Mechanics, 16 (2), pp. 161-176.

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APA Style

Sadra Mahmoudi, Bahram Hashemi Shahraki, Masoud Aghajani. (2018). Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Software Engineering, 5(5), 65-71. https://doi.org/10.11648/j.se.20170505.11

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ACS Style

Sadra Mahmoudi; Bahram Hashemi Shahraki; Masoud Aghajani. Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Softw. Eng. 2018, 5(5), 65-71. doi: 10.11648/j.se.20170505.11

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AMA Style

Sadra Mahmoudi, Bahram Hashemi Shahraki, Masoud Aghajani. Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Softw Eng. 2018;5(5):65-71. doi: 10.11648/j.se.20170505.11

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@article{10.11648/j.se.20170505.11,
  author = {Sadra Mahmoudi and Bahram Hashemi Shahraki and Masoud Aghajani},
  title = {Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence},
  journal = {Software Engineering},
  volume = {5},
  number = {5},
  pages = {65-71},
  doi = {10.11648/j.se.20170505.11},
  url = {https://doi.org/10.11648/j.se.20170505.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20170505.11},
  abstract = {In this study the essential factors of rising air and CO2 bubbles in distillated water and kerosene investigate with the experimental and theoretical attitude. Many formulas developed by pervious investigators for bubble terminal velocity prediction in air-water system. By using PSO (particle swarm optimization) algorithm and plotting experimental data of terminal velocity against the size of gas bubbles, suitable was chosen. Results showed that Jamialahmadi model is more practical for air-water and CO2-water system. The main aim of this paper is to validate and correct Jamialahmadi model for predicting of bubble’s terminal velocities in air-kerosene and CO2-kerosene systems. Jamialahmadi model requires a modification to be utilized for air-kerosene and CO2-kerosene system. The developed PSO algorithm model is accurate for prediction of experimental data with an average R2 value of 0.976.},
 year = {2018}
}

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TY  - JOUR
T1  - Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence
AU  - Sadra Mahmoudi
AU  - Bahram Hashemi Shahraki
AU  - Masoud Aghajani
Y1  - 2018/01/02
PY  - 2018
N1  - https://doi.org/10.11648/j.se.20170505.11
DO  - 10.11648/j.se.20170505.11
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 65
EP  - 71
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20170505.11
AB  - In this study the essential factors of rising air and CO2 bubbles in distillated water and kerosene investigate with the experimental and theoretical attitude. Many formulas developed by pervious investigators for bubble terminal velocity prediction in air-water system. By using PSO (particle swarm optimization) algorithm and plotting experimental data of terminal velocity against the size of gas bubbles, suitable was chosen. Results showed that Jamialahmadi model is more practical for air-water and CO2-water system. The main aim of this paper is to validate and correct Jamialahmadi model for predicting of bubble’s terminal velocities in air-kerosene and CO2-kerosene systems. Jamialahmadi model requires a modification to be utilized for air-kerosene and CO2-kerosene system. The developed PSO algorithm model is accurate for prediction of experimental data with an average R2 value of 0.976.
VL  - 5
IS  - 5
ER  -

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Author Information

Sadra Mahmoudi

Department of Gas Engineering, Ahwaz Faculty of Petroleum, Petroleum University of Technology, Ahwaz, Iran
Bahram Hashemi Shahraki

Department of Gas Engineering, Ahwaz Faculty of Petroleum, Petroleum University of Technology, Ahwaz, Iran
Masoud Aghajani

Department of Gas Engineering, Ahwaz Faculty of Petroleum, Petroleum University of Technology, Ahwaz, Iran

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APA Style

Sadra Mahmoudi, Bahram Hashemi Shahraki, Masoud Aghajani. (2018). Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Software Engineering, 5(5), 65-71. https://doi.org/10.11648/j.se.20170505.11

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ACS Style

Sadra Mahmoudi; Bahram Hashemi Shahraki; Masoud Aghajani. Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Softw. Eng. 2018, 5(5), 65-71. doi: 10.11648/j.se.20170505.11

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AMA Style

Sadra Mahmoudi, Bahram Hashemi Shahraki, Masoud Aghajani. Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence. Softw Eng. 2018;5(5):65-71. doi: 10.11648/j.se.20170505.11

Copy | Download

@article{10.11648/j.se.20170505.11,
  author = {Sadra Mahmoudi and Bahram Hashemi Shahraki and Masoud Aghajani},
  title = {Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence},
  journal = {Software Engineering},
  volume = {5},
  number = {5},
  pages = {65-71},
  doi = {10.11648/j.se.20170505.11},
  url = {https://doi.org/10.11648/j.se.20170505.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20170505.11},
  abstract = {In this study the essential factors of rising air and CO2 bubbles in distillated water and kerosene investigate with the experimental and theoretical attitude. Many formulas developed by pervious investigators for bubble terminal velocity prediction in air-water system. By using PSO (particle swarm optimization) algorithm and plotting experimental data of terminal velocity against the size of gas bubbles, suitable was chosen. Results showed that Jamialahmadi model is more practical for air-water and CO2-water system. The main aim of this paper is to validate and correct Jamialahmadi model for predicting of bubble’s terminal velocities in air-kerosene and CO2-kerosene systems. Jamialahmadi model requires a modification to be utilized for air-kerosene and CO2-kerosene system. The developed PSO algorithm model is accurate for prediction of experimental data with an average R2 value of 0.976.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Correction of Terminal Velocity Prediction Model for CO2-Kerosene and Air-Kerosene Systems by Artificial Intelligence
AU  - Sadra Mahmoudi
AU  - Bahram Hashemi Shahraki
AU  - Masoud Aghajani
Y1  - 2018/01/02
PY  - 2018
N1  - https://doi.org/10.11648/j.se.20170505.11
DO  - 10.11648/j.se.20170505.11
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 65
EP  - 71
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20170505.11
AB  - In this study the essential factors of rising air and CO2 bubbles in distillated water and kerosene investigate with the experimental and theoretical attitude. Many formulas developed by pervious investigators for bubble terminal velocity prediction in air-water system. By using PSO (particle swarm optimization) algorithm and plotting experimental data of terminal velocity against the size of gas bubbles, suitable was chosen. Results showed that Jamialahmadi model is more practical for air-water and CO2-water system. The main aim of this paper is to validate and correct Jamialahmadi model for predicting of bubble’s terminal velocities in air-kerosene and CO2-kerosene systems. Jamialahmadi model requires a modification to be utilized for air-kerosene and CO2-kerosene system. The developed PSO algorithm model is accurate for prediction of experimental data with an average R2 value of 0.976.
VL  - 5
IS  - 5
ER  -

Copy | Download