Multi-Linear Regression Based Prediction of Mass Transfer by Multiple Plunging Jets
The paper aims to compare the performance of vertical and inclined multiple plunging jets and to model and predict their mass transfer capacity by multi-linear regression based approach. The multiple vertical plunging jets have jet impact angle of θ = 90O; whereas, multiple inclined plunging jets have jet impact angle of θ = 60O. The results of the study suggests that mass transfer is higher for multiple jets, and inclined multiple plunging jets have up to 1.6 times higher mass transfer than vertical multiple plunging jets under similar conditions. The derived relationship, based on multi-linear regression approach, has successfully predicted the volumetric mass transfer coefficient (KLa) from operational parameters of multiple plunging jets with a correlation coefficient of 0.973, root mean square error of 0.002 and coefficient of determination of 0.946. The results suggests that predicted overall mass transfer coefficient is in good agreement with actual experimental values; thereby, suggesting the utility of derived relationship based on multi-linear regression based approach and can be successfully employed in modeling mass transfer by multiple plunging jets.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091154Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1843
 A. K. Bin, "Gas Entrainment by Plunging Liquid Jets”, Chem. Eng. Sci. J. Great Britain, vol. 48, pp. 3585-3630, 1993.
 P. D. Cummings, and H. Chanson, "Air entrainment in the Developing Flow Region Of Plunging Jets-Part 1: Theoretical Development”, Fluids Eng. J. ASME, vol. 119, pp. 597-602, 1997.
 H. Chanson, S. Aoki, and A. Hoque, "Similitude of Air Entrainment at Vertical Circular Plunging Jets”, in Proc. ASME FEDSM’02, Montreal, Quebec, 2002, pp. 1-6.
 H. Chanson, S. Aoki, and A. Hoque, "Physical Modelling and Similitude of Air Bubble Entrainment at Vertical Circular Plunging Jets”, Chem. Eng. Sc., vol. 59, pp. 747-758, 2004.
 S. M. Leung, J. C. Little, T. Hoist, and N.G. Love, "Air/Water Oxygen Transfer in a Biological Aerated Filter”, J. Environmental Eng., vol. 132, pp. 181-189, 2006.
 S. Deswal, D. V. S. Verma, and M. Pal, "Multiple Plunging Jet Aeration System and Parameter Modelling by Neural Network and Support Vector Machines”, in Proc. Water Pollution VIII: Modelling, Monitoring and Management, Italy, 2006, vol. 95, pp. 595-604.
 S. Deswal, and D. V. S. Verma, "Performance Evaluation and Modeling of a Conical Plunging Jets Aerator”, International Journal of Mathematical, Physical and Engineering Sciences, vol. 2, pp. 33-37, 2008.
 D. Kusabiraki, H. Niki K. Yamagiwa, and A. Ohkawa, "Gas Entrainment Rate and Flow Pattern of Vertical Plunging Liquid Jets”, The Canadian J. Chem. Eng., vol. 68, pp. 893-903, 1990.
 M. E. Emiroglu, and A. Baylar, "Study of the Influence of Air Holes along Length of Convergent-Divergent Passage of a Venture Device on Aeration”, J. Hyd. Res., vol. 41, pp. 513-520, 2003.
 K. Tojo, N. Naruko, and K. Miyanami, "Oxygen Transfer and Liquid Mixing Characteristics of Plunging Jet Reactors”, Chem. Eng. J. Netherlands, vol. 25, pp. 107-109, 1982.
 A. Ahmed, "Aeration by Plunging Liquid Jet”, Ph.D. thesis, Loughborough Univ. of Tech. UK, 1974.
 E. van de Sande, and J. M. Smith, "Mass Transfer from Plunging Water Jets”, Chem. Eng. J. Netherlands, vol. 10, pp. 225-233, 1975.
 J. A. C. van de Donk, "Water Aeration with Plunging Jets”, Ph.D. thesis, Technische Hogeschool Delft, Netherlands, 1981.
 K. Tojo, and K. Miyanami, "Oxygen Transfer in Jet Mixers”, Chem. Eng. J. Netherlands, vol. 24, pp. 89-97, 1982.
 A. K. Bin, and J. M. Smith, "Mass Transfer in a Plunging Liquid Jet Absorber”, Chem. Engng. Commun, vol. 15, pp. 367-383, 1982.
 D. Bonsignore, G. Volpicelli, A. Campanile, L. Santoro, and R. Valentino, "Mass Transfer in Plunging Jet Absorbers”, Chem. Eng. Process, vol. 19, pp. 85-94, 1985.
 A. Ohkawa, D. Kusabiraki, Y. Shiokawa, M. Sakal, and M. Fujii, "Flow and Oxygen Transfer in a Plunging Water System Using Inclined Short Nozzles in Performance Characteristics of Its System in Aerobic Treatment of Wastewater”, Biotech. Bioeng., vol. 28, pp. 1845-1856, 1986.
 K. Funatsu, Y. Ch. Hsu, M. Noda, and S. Sugawa, "Oxygen Transfer in the Water Jet Vessel”, Chem. Eng. Commun., vol. 73. pp. 121-139, 1988.
 A. Ahmed, and J. Glover, Conf. on Farm Wastes Disposal, Glasgow, Sept. 1972. In E. van de Sande, and J. M. Smith, "Mass Transfer from Plunging Water Jets”, Chem. Eng. J. Netherlands, vol. 10, pp.225-233, 1975.
 S. Deswal, and D. V. S. Verma, "Air-water Oxygen Transfer with Multiple Plunging Jets”, Water Qual. Res. J. Canada; vol. 42, pp. 295-302, 2007.
 S. Deswal, "Oxygen Transfer by Multiple Inclined Plunging Water Jets”, International Journal of Mathematical, Physical and Engineering Sciences, vol. 2, pp. 170-176, 2008.
 M. Ide, H. Uchiyama, and T. Ishikura, "Performance of Multi-Plunging Jet Absorbers Using Liquid Jets Containing Small Solute Bubbles", Canadian J. Chemical Engineering; vol. 81(3-4), pp. 613-620, 2008.
 M. Pal, and S. Deswal, "Modeling Pile Capacity Using Support Vector Machines and Generalized Regression Neural Network” J. of Geotechnical and Geoenvironmental Engineering ASCE, vol. 134, pp. 1021-1024, 2008.
 S. Deswal, and M. Pal, "Artificial Neural Network Based Modeling of Evaporation Losses in Reservoirs”, International Journal of Mathematical, Physical and Engineering Sciences, vol. 2, pp. 177-181, 2008.
 M. Pal, and S. Deswal, "Support Vector Regression Based Shear Strength Modelling of Deep Beams", Computers & Structures, vol. 89(13), pp. 1430-1439, 2011.
 Y. K. Chow, W. T. Chan, I. F., Liu, and S. L. Lee, "Predication of Pile Capacity from Stress-Wave Measurements: A Neural Network Approach” Int. J. Numer. Analyt. Meth. Geomech., vol. 19, pp. 107–126, 1995.
 M. Pal, and P. M. Mather, "Support Vector Classifiers for Land Cover Classification” Proc. Map India 2003. Available: www.gisdevelopment.net/ technology/rs/pdf/23.pdf>.
 M. Pal, "Support Vector Machines-Based Modelling of Seismic Liquefaction Potential” Int. J. Numer. Analyt. Meth. Geomech., vol. 30, pp. 983–996, 2006.
 S. Deswal, "Computational Techniques and Their Potential in Predicting Oxygen Transfer by Multiple Oblique Jets", Int. J. of Environmental Science, vol. 1(5), pp. 986-999, 2011.
 S. Deswal, "Modeling Oxygen-Transfer by Multiple Plunging Jets Using Support Vector Machines and Gaussian Process Regression Techniques", Int. J. of Civil and Environmental Engineering, vol. 3(1); pp. 28-33, 2011.