Modeling of Gas Holdup and Pressure Drop Using ANN for Gas-Non-Newtonian Liquid Flow in Vertical Pipe

Abstract:

This paper is an attempt to compare the the performance of the three different Multilayer Perceptron training algorithms namely Backpropagation, Scaled Conjugate Gradient and Levenberg-Marquardt for the prediction of the gas hold up and frictional pressure drop across the vertical pipe for gas non-Newtonian liquid flow from our earlier experimental data. The Multilayer Perceptron consists of a single hidden layer. Four different transfer functions were used in the hidden layer. All three algorithms were useful to predict the gas holdup and frictional pressure drop across the vertical pipe. Statistical analysis using Chi-square test (χ2) confirms that the Backpropagation training algorithm gives the best predictability for both cases.

• Periodical: Advanced Materials Research (Volume 917)
• Pages: 244-256
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.917.244
• Online since: June 2014
• Authors: Nirjhar Bar, Sudip Kumar Das*
• Keywords: Backpropagation, Gas Holdup, Gas-Non-Newtonian Liquid, Levenberg-Marquardt, Pressure Drop, Scaled Conjugate Gradient

References

[1] K.J. Bell, Two-phase flow regime consideration in condenser and vapour design, Int. Commun. Heat Mass Transfer 15 (1988) 429-448.

DOI: 10.1016/0735-1933(88)90042-5

[2] P.L. Spedding, D.R. Spence, Prediction of Holdup in Two-Phase Flow, Int. J. Engg. Fluid Mech. 1 (1988) 67-82.

[3] G.B. Wallis, One dimensional two-phase flow. McGrew-Hill Book Co. Inc., New York, (1969).

[4] G.W. Govier, K. Aziz, The Flow of Complex Mixtures in Pipes. Van Nostran Reinhold, New York City, (1972).

[5] G. Hestroni, Handbook of Multiphase Systems. Hemisphere Publishing Corp., Washington, DC, (1982).

[6] C.T. Crowe, Multiphase Flow Handbook. CRC Press, Boca Raton, (2006).

[7] Y. Taitel, A.E. Dukler, A model for prediction flow regime transition in horizontal and near horizontal gas–liquid, AICHE J. 22 (1976) 47-55.

DOI: 10.1002/aic.690220105

[8] J. Xiao, O. Shoham, J. Brill, A comprehensive model for two-phase flow in pipelines, The 65th SPE Annual Technical Conference and Exhibition, SPE 20631, New Orleans, Sep, (1990).

[9] A.M. Ansari, N.D. Sylvester, O. Shoham, J.P. Brill, A comprehensive mechanistic model for upward two phase flow in wellbores, SPE Prod. Facil., pp.143-152, May, (1994).

DOI: 10.2118/20630-pa

[10] A.S. Kaya, C. Sarica, J.P. Brill, Comprehensive mechanistic model of two-phase flow in deviated wells, SPE Annual Technical Conference and Exhibition. SPE 56522, Houston, Oct, (1999).

DOI: 10.2118/56522-ms

[11] H.Q. Zhang, Q. Wang, C. Sarica, J.P. Brill, Unified model for gas–liquid pipe flow via slug dynamics. Part 1: Model development, J. Energy Res. Tech. 125 (2003) 266-273.

DOI: 10.1115/1.1615246

[12] H.Q. Zhang, Q. Wang, C. Sarica, J.P. Brill, Unified model for gas–liquid pipe flow via slug dynamics. Part 1: Model validation, J. Energy Res. Tech. 125 (2003) 274-283.

DOI: 10.1115/1.1615618

[13] S.K. Das, Studies on two-phase gas-non-Newtonian liquid flow in horizontal, vertical tubes and bends, Ph.D. thesis, Dept. Chem. Engg., Indian Institute of Technology, Kharagpur, India, (1988).

[14] Z. Khatib, J.F. Richardson, Vertical co-current flow of air and shear-thinning suspensions of kaolin, Chem. Eng. Res. Des. 62 (1984) 139-154.

[15] S.K. Das, M.N. Biswas, A.K. Mitra, Holdup for two-phase flow of gas-non-newtonian liquid mixtures in horizontal and vertical pipes, Can. J. Chem. Eng. 70 (1992) 431-437.

DOI: 10.1002/cjce.5450700304

[16] S.K. Das, M.N. Biswas, A.K. Mitra, Pressure losses in two-phase gas-non-newtonian liquid flow in a vertical tube, Chem. Engg. Commun. 135 (1995) 229-237.

DOI: 10.1080/00986449508936349

[17] M. Dziubinski, A general correlation for the two-phase pressure drop in intermittent flow of gas and non-newtonian liquid mixtures in a pipe, Trans. Chem. Eng. Res. Des. 73 (1995) 528-533.

DOI: 10.1016/s0301-9322(97)88191-8

[18] M. Dziubinski, H. Fidos, M. Sosno, The flow pattern map of a two-phase non-Newtonian liquid-gas flow in the vertical pipe, Int. J. Multiphase Flow 30 (2004) 551-563.

DOI: 10.1016/j.ijmultiphaseflow.2004.04.005

[19] D.L. Himmelblau, Application of artificial neural network in Chemical Engineering, Korean. J. Chem. Engg. 17 (2000) 373-392.

[20] I.A. Basheer, M.J. Hajmeer, Artificial neural networks: fundamentals, computing, design, and application, J. Microbiol Methods 43 (2000) 3-31.

DOI: 10.1016/s0167-7012(00)00201-3

[21] N. Bar, S.K. Das, Comparative study of friction factor by prediction of frictional pressure drop per unit length using empirical correlation and ANN for gas-non-Newtonian liquid flow through 180° circular bend, Int. Rev. Chem. Engg. 3 (2011).

DOI: 10.1615/interjfluidmechres.v39.i5.40

[22] N. Bar, S.K. Das, Gas-non-Newtonian Liquid Flow through Horizontal Pipe - Gas Holdup and Frictional Pressure Drop Prediction using Multilayer Perceptron, American J. Fluid Dynamics 2 (2012) 7-16.

DOI: 10.5923/j.ajfd.20120203.01

[23] N. Bar, A.B. Biswas, M.N. Biswas, S.K. Das, Prediction of Pressure Drop for Gas-non-Newtonian Liquid Flow through Piping Components, Ind. Eng. Chem. Res. 49 (2010) 9423-9429.

DOI: 10.1021/ie1007739

[24] S.K. Das, N. Bar, Hydrodynamics of Gas-non-Newtonian Liquid Flow and ANN Predictibility, Lambart Academic Publishing. Saarbrücken, Germany, (2013).

[25] N. Bar, S.K. Das, Frictional Pressure Drop for Gas-Non-Newtonian Liquid Flow through 90° and 135° circular bend: Prediction Using Empirical Correlation and ANN, Int. J. Fluid Mech. Res. 39 (2013) 416-437.

DOI: 10.1615/interjfluidmechres.v39.i5.40