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Predicting buoyant jet characteristics: a machine learning approach

  • Hossein Hassanzadeh , Saptarshi Joshi and Seyed Mohammad Taghavi ORCID logo EMAIL logo
Published/Copyright: June 6, 2023
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Abstract

We study positively buoyant miscible jets through high-speed imaging and planar laser-induced fluorescence methods, and we rely on supervised machine learning techniques to predict jet characteristics. These include, in particular, predictions to the laminar length and spread angle, over a wide range of Reynolds and Archimedes numbers. To make these predictions, we use linear regression, support vector regression, random forests, K-nearest neighbour, and artificial neural network algorithms. We evaluate the performance of the aforementioned models using various standard metrics, finding that the random forest algorithm is the best for predicting our jet characteristics. We also discover that this algorithm outperforms a recent empirical correlation, resulting in a significant increase in accuracy, especially for predicting the laminar length.


Corresponding author: Seyed Mohammad Taghavi, Department of Chemical Engineering, Université Laval, Québec, QC, G1V 0A6, Canada, E-mail:

Award Identifier / Grant number: ALLRP 577111-22

Award Identifier / Grant number: CG109154

Award Identifier / Grant number: CG132931

Funding source: Canada Research Chairs

Award Identifier / Grant number: CG125810

Award Identifier / Grant number: AUPRF2022-000124

Award Identifier / Grant number: GF130120

Award Identifier / Grant number: GF525075

Award Identifier / Grant number: GQ130119

Acknowledgement

The authors would like to thank Mr. R. Mahmoudi for his valuable comments.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This research has been carried out at Université Laval. The authors wish to acknowledge the financial support of this research by PTAC-AUPRF via Grant No. AUPRF2022-000124 and NSERC via Alliance Grant No. ALLRP 577111-22 (“Towards Net-Zero Emissions: mechanics, processes and materials to support risk-based well decommissioning”). The authors also express their gratitude to the Natural Sciences and Engineering Research Council of Canada, via the Discovery Grant (Grant No. CG109154) and Research Tools and Instruments Grant (Grant No. CG132931), the Canada Research Chair on Modeling Complex Flows (Grant No. CG125810), and the Canada Foundation for Innovation via the John R. Evans Leaders Fund (Grant No. GF130120, GQ130119 and GF525075). SJ also acknowledges the Mitacs Globalink Research Internship Award.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

1. Dadonau, M, Partridge, JL, Linden, PF. The effect of double diffusion on the dynamics of horizontal turbulent thermohaline jets. J Fluid Mech 2020;905:1–20. https://doi.org/10.1017/jfm.2020.744.Search in Google Scholar

2. Hassanzadeh, H, Eslami, A, Taghavi, SM. On the role of the viscosity ratio on buoyant miscible jet flows. Environ Fluid Mech 2022;22:337–65. https://doi.org/10.1007/s10652-021-09817-2.Search in Google Scholar

3. Hunt, GR, Burridge, HC. Fountains in industry and nature. Annu Rev Fluid Mech 2015;47:195–220. https://doi.org/10.1146/annurev-fluid-010313-141311.Search in Google Scholar

4. Apsley, DD, Lane-Serff, GF. Collapse of particle-laden buoyant plumes. J Fluid Mech 2019;865:904–27. https://doi.org/10.1017/jfm.2019.74.Search in Google Scholar

5. Rodríguez-Benítez, AJ, Álvarez-Díaz, C, García-Gómez, A, García-Alba, J. Methodological approaches for delimitating mixing zones in rivers: establishing admissibility criteria and flow regime representation. Environ Fluid Mech 2018;18:1227–56. https://doi.org/10.1007/s10652-018-9593-9.Search in Google Scholar

6. Hauchecorne, A. Jet-setting atmosphere. Nat Geosci 2017;10:622–3. https://doi.org/10.1038/ngeo3022.Search in Google Scholar

7. Stevens, B. Atmospheric moist convection. Annu Rev Earth Planet Sci 2005;33:605–43. https://doi.org/10.1146/annurev.earth.33.092203.122658.Search in Google Scholar

8. Robinson, D, Wood, M, Piggott, M, Gorman, G. CFD modelling of marine discharge mixing and dispersion. J Appl Water Eng Res 2016;4:152–62. https://doi.org/10.1080/23249676.2015.1105157.Search in Google Scholar

9. Gharavi, A, Mohammadian, A, Nistor, I, Peña, E, Anta, J. Experimental study of surface buoyant jets in crossflow. Environ Fluid Mech 2020;20:1007–30. https://doi.org/10.1007/s10652-020-09737-7.Search in Google Scholar

10. Landel, JR, Wilson, DI. The fluid mechanics of cleaning and decontamination of surfaces. Annu Rev Fluid Mech 2021;53:147–71. https://doi.org/10.1146/annurev-fluid-022820-113739.Search in Google Scholar

11. Hassanzadeh, H, Cournoyer, E, Taghavi, SM. Jet cleaning processes in the plug and abandonment of oil and gas wells: an experimental study on horizontal miscible jets. In: International conference on offshore mechanics and arctic engineering. American Society of Mechanical Engineers; 2022, vol 85956:V010T11A055 p.10.1115/OMAE2022-79424Search in Google Scholar

12. Liu, X, Liu, X, Zhang, T. Influence of air-conditioning systems on buoyancy driven air infiltration in large space buildings: a case study of a railway station. Energy Build 2020;210:109781. https://doi.org/10.1016/j.enbuild.2020.109781.Search in Google Scholar

13. Hassanzadeh, H, Eslami, A, Taghavi, SM. Positively buoyant jets: semiturbulent to fully turbulent regimes. Phys Rev Fluids 2021;6:054501. https://doi.org/10.1103/physrevfluids.6.054501.Search in Google Scholar

14. Panigrahi, PK, Muralidhar, K. Imaging jet flow patterns. In: Imaging heat and mass transfer processes: visualization and analysis; 2013:101–29 pp.10.1007/978-1-4614-4791-7_5Search in Google Scholar

15. Kitamura, S, Sumita, I. Experiments on a turbulent plume: shape analyses. J Geophys Res Solid Earth 2011;116:1–15. https://doi.org/10.1029/2010jb007633.Search in Google Scholar

16. Pantzlaff, L, Lueptow, RM. Transient positively and negatively buoyant turbulent round jets. Exp Fluid 1999;27:117–25. https://doi.org/10.1007/s003480050336.Search in Google Scholar

17. Talluru, KM, Armfield, S, Williamson, N, Kirkpatrick, MP, Milton-McGurk, L. Turbulence structure of neutral and negatively buoyant jets. J Fluid Mech 2021;909:A14. https://doi.org/10.1017/jfm.2020.921.Search in Google Scholar

18. McNaughton, KJ, Sinclair, CG. Submerged jets in short cylindrical flow vessels. J Fluid Mech 1966;25:367–75. https://doi.org/10.1017/s0022112066001708.Search in Google Scholar

19. Sreenivas, KR, Prasad, AK. Vortex-dynamics model for entrainment in jets and plumes. Phys Fluids 2000;12:2101–7. https://doi.org/10.1063/1.870455.Search in Google Scholar

20. Mollendorf, JC, Gebhart, B. An experimental and numerical study of the viscous stability of a round laminar vertical jet with and without thermal buoyancy for symmetric and asymmetric disturbances. J Fluid Mech 1973;61:367–99. https://doi.org/10.1017/s0022112073000765.Search in Google Scholar

21. Lemanov, VV, Terekhov, VI, Sharov, KA, Shumeiko, AA. An experimental study of submerged jets at low Reynolds numbers. Tech Phys Lett 2013;39:421–3. https://doi.org/10.1134/s1063785013050064.Search in Google Scholar

22. Munwes, YY, Geyer, S, Katoshevski, D, Ionescu, D, Licha, T, Lott, C, et al.. Discharge estimation of submarine springs in the dead sea based on velocity or density measurements in proximity to the water surface. Hydrol Process 2020;34:455–72. https://doi.org/10.1002/hyp.13598.Search in Google Scholar

23. Gao, F, Zhao, L, Boufadel, MC, King, T, Robinson, B, Conmy, R, et al.. Hydrodynamics of oil jets without and with dispersant: experimental and numerical characterization. Appl Ocean Res 2017;68:77–90. https://doi.org/10.1016/j.apor.2017.08.013.Search in Google Scholar

24. Werner, RA, Geier, DU, Becker, T. The challenge of cleaning woven filter cloth in the beverage industry-wash jets as an appropriate solution. Food Eng Rev 2020;12:520–45. https://doi.org/10.1007/s12393-020-09228-x.Search in Google Scholar

25. Rengel, B, Àgueda, A, Pastor, E, Casal, J, Planas, E, Hu, L, et al.. Experimental and computational analysis of vertical jet fires of methane in normal and sub-atmospheric pressures. Fuel 2020;265:116878. https://doi.org/10.1016/j.fuel.2019.116878.Search in Google Scholar

26. Chojnicki, KN, Clarke, AB, Phillips, JC, Adrian, RJ. The evolution of volcanic plume morphology in short-lived eruptions. Geology 2015;43:707–10. https://doi.org/10.1130/g36642.1.Search in Google Scholar

27. Malcangio, D, Cuthbertson, A, Meftah, MB, Mossa, M. Computational simulation of round thermal jets in an ambient cross flow using a large-scale hydrodynamic model. J Hydraul Res 2020;58:920–37. https://doi.org/10.1080/00221686.2019.1684392.Search in Google Scholar

28. Miyazaki, Y, Usawa, M, Kawai, S, Yee, J, Muto, M, Tagawa, Y. Dynamic mechanical interaction between injection liquid and human tissue simulant induced by needle-free injection of a highly focused microjet. Sci Rep 2021;11:1–10. https://doi.org/10.1038/s41598-021-94018-6.Search in Google Scholar PubMed PubMed Central

29. Chen, F, Lan, C. Fabrication of elastomeric microfluidic channels based on light-curing electrostatic printing. Microfluid Nanofluidics 2022;26:84. https://doi.org/10.1007/s10404-022-02594-4.Search in Google Scholar

30. Zeng, D, Wu, N, Xie, L, Xia, X, Kang, Y. An experimental study of a spring-loaded needle-free injector: influence of the ejection volume and injector orifice diameter. J Mech Sci Technol 2019;33:5581–8. https://doi.org/10.1007/s12206-019-1051-1.Search in Google Scholar

31. Géron, A. Hands-on machine learning with scikit-learn and tensorflow. Tools, and techniques to build intelligent systems. Sebastopol, CA, USA: O’Reilly Media; 2017.Search in Google Scholar

32. Sarker, IH. Deep learning: a comprehensive overview on techniques, taxonomy, applications and research directions. SN Comput Sci 2021;2:420. https://doi.org/10.1007/s42979-021-00815-1.Search in Google Scholar PubMed PubMed Central

33. Artrith, N, Butler, KT, Coudert, F, Han, S, Isayev, O, Jain, A, et al.. Best practices in machine learning for chemistry. Nat Chem 2021;13:505–8. https://doi.org/10.1038/s41557-021-00716-z.Search in Google Scholar PubMed

34. Rasku, J. Toward automatic customization of vehicle routing systems [JYU dissertations]; 2019.Search in Google Scholar

35. Alashwal, H, El Halaby, M, Crouse, JJ, Abdalla, A, Moustafa, AA. The application of unsupervised clustering methods to Alzheimer’s disease. Front Comput Neurosci 2019;13:31. https://doi.org/10.3389/fncom.2019.00031.Search in Google Scholar PubMed PubMed Central

36. Sindhu Meena, K, Suriya, S. A survey on supervised and unsupervised learning techniques. In: Proceedings of international conference on artificial intelligence, smart grid and smart city applications: AISGSC 2019. Springer; 2020:627–44 pp.10.1007/978-3-030-24051-6_58Search in Google Scholar

37. Patel, K, Patel, HB. A comparative analysis of supervised machine learning algorithm for agriculture crop prediction. In: 2021 Fourth international conference on electrical, computer and communication technologies (ICECCT). IEEE; 2021:1–5 pp.10.1109/ICECCT52121.2021.9616731Search in Google Scholar

38. Cord, M, Cunningham, P. Machine learning techniques for multimedia: case studies on organization and retrieval. Berlin, Heidelberg: Springer; 2008.10.1007/978-3-540-75171-7Search in Google Scholar

39. Pruneski, JA, Pareek, A, Kunze, KN, Martin, RK, Karlsson, J, Oeding, JF, et al.. Supervised machine learning and associated algorithms: applications in orthopedic surgery. Knee Surg Sports Traumatol Arthrosc 2023;31:1196–202. https://doi.org/10.1007/s00167-022-07181-2.Search in Google Scholar PubMed

40. Brunton, SL, Noack, BR, Koumoutsakos, P. Machine learning for fluid mechanics. Annu Rev Fluid Mech 2020;52:477–508. https://doi.org/10.1146/annurev-fluid-010719-060214.Search in Google Scholar

41. Tiwari, A. Supervised learning: from theory to applications. In: Artificial intelligence and machine learning for EDGE computing. Amsterdam: Elsevier; 2022.10.1016/B978-0-12-824054-0.00026-5Search in Google Scholar

42. Burkov, A. The hundred-page machine learning book. QC, Canada: Burkov; 2019, 1.Search in Google Scholar

43. Alloghani, M, Al-Jumeily, D, Mustafina, J, Hussain, A, Aljaaf, AJ. A systematic review on supervised and unsupervised machine learning algorithms for data science. In: Supervised and unsupervised learning for data science. Cham, Switzerland: Springer; 2020:3–21 pp.10.1007/978-3-030-22475-2_1Search in Google Scholar

44. Kulikov, A, Loskutov, A, Bezdushniy, D. Relay protection and automation algorithms of electrical networks based on simulation and machine learning methods. Energies 2022;15:6525. https://doi.org/10.3390/en15186525.Search in Google Scholar

45. Dang, W, Guo, J, Liu, M, Liu, S, Yang, B, Yin, L, et al.. A semi-supervised extreme learning machine algorithm based on the new weighted kernel for machine smell. Appl Sci 2022;12:9213. https://doi.org/10.3390/app12189213.Search in Google Scholar

46. Hong, N, Liu, C, Gao, J, Han, L, Chang, F, Gong, M, et al.. State of the art of machine learning–enabled clinical decision support in intensive care units: literature review. JMIR Med Inform 2022;10:e28781. https://doi.org/10.2196/28781.Search in Google Scholar PubMed PubMed Central

47. El-Amin, MF, Subasi, A. Predicting turbulent buoyant jet using machine learning techniques. In: 2020 2nd International conference on computer and information sciences (ICCIS). IEEE; 2020:1–5 pp.10.1109/ICCIS49240.2020.9257628Search in Google Scholar

48. Mashhadimoslem, H, Ghaemi, A, Palacios, A, Almansoori, A, Elkamel, A. Machine learning modeling and evaluation of jet fires from natural gas processing, storage, and transport. Can J Chem Eng 2023;1:1–13.10.1002/cjce.24805Search in Google Scholar

49. Kumar, M, Tiwari, NK, Ranjan, S. Application of machine learning methods in estimating the oxygenation performance of various configurations of plunging hollow jet aerators. J Environ Eng 2022;148:04022070. https://doi.org/10.1061/(asce)ee.1943-7870.0002068.Search in Google Scholar

50. Oymak, S, Soltanolkotabi, M. Overparameterized nonlinear learning: gradient descent takes the shortest path? In: International conference on machine learning. PMLR; 2019:4951–60 pp.Search in Google Scholar

51. Moghaddam, SHA, Mokhtarzade, M, Naeini, AA, Amiri-Simkooei, A. A statistical variable selection solution for RFM ill-posedness and overparameterization problems. IEEE Trans Geosci Rem Sens 2018;56:3990–4001. https://doi.org/10.1109/tgrs.2018.2819136.Search in Google Scholar

52. Wallach, D, Goffinet, B. Mean squared error of prediction as a criterion for evaluating and comparing system models. Ecol Model 1989;44:299–306. https://doi.org/10.1016/0304-3800(89)90035-5.Search in Google Scholar

53. Shcherbakov, MV, Brebels, A, Shcherbakova, NL, Tyukov, AP, Janovsky, TA, Kamaev, VA. A survey of forecast error measures. World Appl Sci J 2013;24:171–6.Search in Google Scholar

54. Awad, M, Khanna, R. Support vector regression. In: Efficient learning machines: theories, concepts, and applications for engineers and system designers. New York, NY, USA: Springer Nature; 2015:67–80 pp.10.1007/978-1-4302-5990-9_4Search in Google Scholar

55. Fernandes, SEN, Pilastri, AL, Pereira, LAM, Pires, RG, Papa, JP. Learning kernels for support vector machines with polynomial powers of sigmoid. In: 2014 27th SIBGRAPI conference on graphics, patterns and images. IEEE; 2014:259–65 pp.10.1109/SIBGRAPI.2014.36Search in Google Scholar

56. Ding, X, Liu, J, Yang, F, Cao, J. Random radial basis function kernel-based support vector machine. J Franklin Inst 2021;358:10121–40. https://doi.org/10.1016/j.jfranklin.2021.10.005.Search in Google Scholar

57. Cutler, A, Cutler, DR, Stevens, JR. Random forests. In: Ensemble machine learning: methods and applications. New York, NY, USA: Springer; 2012:157–75 pp.10.1007/978-1-4419-9326-7_5Search in Google Scholar

58. Hastie, T, Tibshirani, R, Friedman, JH, Friedman, JH. The elements of statistical learning: data mining, inference, and prediction. New York, NY: Springer; 2009, 2.10.1007/978-0-387-84858-7Search in Google Scholar

59. Chen, J, Huang, H, Hsu, C. A KNN based position prediction method for SNS places. In: Intelligent information and database systems: 12th Asian conference, ACIIDS 2020, Phuket, Thailand, March 23–26, 2020, proceedings, part II 12. Springer; 2020:266–73 pp.10.1007/978-3-030-42058-1_22Search in Google Scholar

60. Kim, M, Yun, J, Cho, Y, Shin, K, Jang, R, Bae, H, et al.. Deep learning in medical imaging. Neurospine 2020;17:471. https://doi.org/10.14245/ns.1938396.198.c1.Search in Google Scholar PubMed PubMed Central

61. Joshi, AV. Perceptron and neural networks. In: Machine learning and artificial intelligence. Switzerland: Springer; 2022:57–72 pp.10.1007/978-3-031-12282-8_6Search in Google Scholar

62. Panerati, J, Schnellmann, MA, Patience, C, Beltrame, G, Patience, GS. Experimental methods in chemical engineering: artificial neural networks-ANNs. Can J Chem Eng 2019;97:2372–82. https://doi.org/10.1002/cjce.23507.Search in Google Scholar

63. Hoffmann, F, Bertram, T, Mikut, R, Reischl, M, Nelles, O. Benchmarking in classification and regression. Wiley Interdiscip Rev: Data Min Knowl Discov 2019;9:e1318. https://doi.org/10.1002/widm.1318.Search in Google Scholar

64. Kioumarsi, M, Dabiri, H, Kandiri, A, Farhangi, V. Compressive strength of concrete containing furnace blast slag; optimized machine learning-based models. Clean Eng Technol 2023;13:100604. https://doi.org/10.1016/j.clet.2023.100604.Search in Google Scholar

65. Ratner, B. The correlation coefficient: its values range between +1/−1, or do they? J Target Meas Anal Market 2009;17:139–42. https://doi.org/10.1057/jt.2009.5.Search in Google Scholar

66. Behnam, P, Faegh, M, Shafii, MB, Khiadani, M. A comparative study of various machine learning methods for performance prediction of an evaporative condenser. Int J Refrig 2021;126:280–90. https://doi.org/10.1016/j.ijrefrig.2021.02.009.Search in Google Scholar

67. Maier, HR, Jain, A, Dandy, GC, Sudheer, KP. Methods used for the development of neural networks for the prediction of water resource variables in river systems: current status and future directions. Environ Model Software 2010;25:891–909. https://doi.org/10.1016/j.envsoft.2010.02.003.Search in Google Scholar

68. Rojas-Domínguez, A, Padierna, LC, Valadez, MC, Juan, Puga-Soberanes, HJ, Fraire, HJ. Optimal hyper-parameter tuning of SVM classifiers with application to medical diagnosis. IEEE Access 2017;6:7164–76. https://doi.org/10.1109/access.2017.2779794.Search in Google Scholar

69. Chen, HC, Chen, WJ, Zhou, Y. Estimation of chromaticity coordinates for LEDs array by modulation of red or yellow LEDs with artificial neural network. In: 2013 Ninth international conference on intelligent information hiding and multimedia signal processing. IEEE; 2013:88–91 pp.10.1109/IIH-MSP.2013.31Search in Google Scholar

Received: 2023-03-19
Accepted: 2023-05-18
Published Online: 2023-06-06

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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