Estimation of heat transfer coefficient in bubble column reactors using support vector regression

Abstract The objective of this study was to develop a unified correlation for heat transfer coefficient ( h ) in bubble columns without internals for various gas–liquid systems using support vector regression (SVR)-based modeling technique. From the data published in open literature, 366 data points from 10 open sources spanning the years 1976–2007 for h were collected. Generalized SVR-based models have been developed for the relationship between h and prominent design and operating parameters such as column and sparger geometry, gas–liquid thermo-physical properties, operating temperature, pressure, superficial gas velocity, etc. Further, this model for h has been uploaded on the link http://www.esnips.com/web/UICT-NCL . The proposed generalized SVR-based correlations for h has prediction accuracies of 98.56% and average absolute relative error (AARE) of 7.05%. Also, the SVR-based correlation showed much improved predictions when compared with those estimated by empirical correlations in the literature.

[1]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[2]  Jyeshtharaj B. Joshi,et al.  Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review , 2005 .

[3]  Dennis N. Smith,et al.  THERMAL DISPERSION AND HEAT TRANSFER IN NONISOTHERMAL BUBBLE COLUMNS , 1983 .

[4]  W. Hart.  Heat Transfer in Bubble-Agitated Systems. A General Correlation , 1976 .

[5]  Jyeshtharaj B. Joshi,et al.  Laser doppler anemometer measurements in bubble column : Effect of sparger , 2006 .

[6]  Aniruddha B. Pandit,et al.  CFD simulation of heat transfer in a two-dimensional vertical enclosure , 2009 .

[7]  J. Joshi.  Comments on flow mapping in bubble columns using CARPT , 1992 .

[8]  Jyeshtharaj B. Joshi,et al.  Effect of Flow Structures on Heat Transfer in Single and Multiphase Jet Reactors , 2009 .

[9]  Doraiswami Ramkrishna,et al.  Population balance modeling for bubble columns operating in the homogeneous regime , 2007 .

[10]  Alexander J. Smola,et al.  Support Vector Method for Function Approximation, Regression Estimation and Signal Processing , 1996, NIPS.

[11]  Jyeshtharaj B. Joshi,et al.  CFD modeling of heat transfer in turbulent pipe flows , 2000 .

[12]  Jyeshtharaj B. Joshi,et al.  Solid-liquid fluidised beds: some design aspects , 1983 .

[13]  L. Fan,et al.  Heat-Transfer Characteristics in Slurry Bubble Columns at Elevated Pressures and Temperatures , 2000 .

[14]  W. Deckwer,et al.  On the mechanism of heat transfer in bubble column reactors , 1980 .

[15]  J. Joshi,et al.  Disengagement of the gas phase in bubble columns , 1995 .

[16]  J. Joshi,et al.  MEASUREMENT OF GAS HOLD-UP PROFILES BY GAMMA RAY TOMOGRAPHY: Effect of Sparger Design and Height of Dispersion in Bubble Columns , 1999 .

[17]  J. Joshi,et al.  Measurement of Gas Hold-up Profiles in Bubble Column by Gamma Ray Tomography: Effect of Liquid Phase Properties , 2000 .

[18]  Jyeshtharaj B. Joshi,et al.  CFD simulation of sparger design and height to diameter ratio on gas hold-up profiles in bubble column reactors , 2004 .

[19]  Jyeshtharaj B. Joshi,et al.  Pressure and flow distribution in pipe and ring spargers: experimental measurements and CFD simulation , 2007 .

[20]  Mandar Tabib,et al.  Dynamics of Flow Structures and Transport Phenomena, 2. Relationship with Design Objectives and Design Optimization , 2009 .

[21]  Sanjeev S. Tambe,et al.  Hybrid process modeling and optimization strategies integrating neural networks/support vector regression and genetic algorithms: study of benzene isopropylation on Hbeta catalyst , 2004 .

[22]  Jyeshtharaj B. Joshi,et al.  Estimation of Hydrodynamic and Heat Transfer Characteristics of Bubble Column by Analysis of Wall Pressure Measurements and CFD Simulations , 2006 .

[23]  H. Li,et al.  Heat Transfer and Hydrodynamics in a Three-Phase Slurry Bubble Column , 1997 .

[24]  Jyeshtharaj B. Joshi,et al.  CFD Simulation of Gas Chamber for Gas Distributor Design , 2008 .

[25]  Jyeshtharaj B. Joshi,et al.  MOMENTUM, MASS AND HEAT TRANSFER IN SINGLE-PHASE TURBULENT FLOW , 2002 .

[26]  J. Joshi,et al.  Transport phenomena in bubble colunm reactor II: Pressure drop , 1992 .

[27]  Jyeshtharaj B. Joshi,et al.  Liquid phase axial mixing in bubble columns operated at high pressures , 2005 .

[28]  W. Kast.  Analyse des wärmeübergangs in blasensäulen , 1962 .

[29]  S. M. Ghiaasiaan,et al.  Artificial neural network approach for flow regime classification in gas–liquid–fiber flows based on frequency domain analysis of pressure signals , 2004 .

[30]  Nada S. Ahmedzeki,et al.  Prediction of the Heat Transfer Coefficient in a Bubble Column Using an Artificial Neural Network , 2008 .

[31]  A. Prakash,et al.  Analysis of local heat transfer and hydrodynamics in a bubble column using fast response probes , 2007 .

[32]  V. K. Jayaraman,et al.  Development of support vector regression (SVR)-based correlation for prediction of overall gas hold-up in bubble column reactors for various gas–liquid systems , 2007 .

[33]  Jyeshtharaj B. Joshi,et al.  Analysis of flow pattern and heat transfer in direct contact condensation , 2009 .

[34]  Mandar Tabib,et al.  CFD simulation of bubble column—An analysis of interphase forces and turbulence models , 2008 .

[35]  Aniruddha B. Pandit,et al.  Mass and heat transfer characteristics of three phase sparged reactors , 1986 .

[36]  Jyeshtharaj B. Joshi,et al.  A circulation cell model for bubble columns , 1979 .

[37]  Doraiswami Ramkrishna,et al.  CFD simulation of bubble columns incorporating population balance modeling , 2008 .

[38]  L. Fan,et al.  Heat transfer and bubble characteristics from a nozzle in high-pressure bubble columns , 1999 .

[39]  Jyeshtharaj B. Joshi,et al.  On the development of flow pattern in a bubble column reactor : Experiments and CFD , 2007 .

[40]  J. Joshi,et al.  Transport phenomena in bubble column reactors I: Flow pattern , 1992 .

[41]  Jyeshtharaj B. Joshi,et al.  CFD simulation of steady state heat transfer in bubble columns , 2005 .

[42]  A. Verma.  Heat transfer mechanism in bubble columns , 1989 .

[43]  V. Ranade,et al.  Sparged loop reactors , 1990 .

[44]  M. Al-Dahhan,et al.  Heat transfer coefficients in a high-pressure bubble column , 2007 .

[45]  A. Chakma,et al.  Heat Transfer in Bubble Columns , 1993 .

[46]  L. Fan,et al.  Heat-transfer characteristics in viscous gas-liquid and gas-liquid-solid systems , 1994 .

[47]  Jyeshtharaj B. Joshi,et al.  Mass transfer characteristics of horizontal agitated contactors , 1976 .

[48]  Aniruddha B. Pandit,et al.  Mixing in mechanically agitated gas-liquid contactors, bubble columns and modified bubble columns , 1983 .

[49]  H. Kikukawa,et al.  Heat transfer coefficient in bubble columns , 1981 .

[50]  Jyeshtharaj B. Joshi,et al.  Coherent flow structures in bubble column reactors , 2002 .

[51]  Muthanna H. Al-Dahhan,et al.  Development of an artificial neural network correlation for prediction of overall gas holdup in bubble column reactors , 2003 .

[52]  Jyeshtharaj B. Joshi,et al.  Design of a gas distributor: three-dimensional CFD simulation of a coupled system consisting of a gas chamber and a bubble column , 2007 .

[53]  Jyeshtharaj B. Joshi,et al.  CFD simulation of bubble column reactors: importance of drag force formulation , 1999 .

[54]  S. Gunn.  Support Vector Machines for Classification and Regression , 1998 .

[55]  L. Fan,et al.  Heat transfer in three‐phase fluidization and bubble‐columns with high gas holdups , 1993 .

[56]  Jyeshtharaj B. Joshi,et al.  Computational flow modelling and design of bubble column reactors , 2001 .

[57]  Yatish T. Shah,et al.  HEAT TRANSFER IN MULTIPHASE CONTACTORS , 1980 .

[58]  Mandar Tabib,et al.  Dynamics of Flow Structures and Transport Phenomena, 1. Experimental and Numerical Techniques for Identification and Energy Content of Flow Structures , 2009 .

[59]  Jyeshtharaj B. Joshi,et al.  Insight into Theories of Heat and Mass Transfer at the Solid-Fluid Interface Using Direct Numerical Simulation and Large Eddy Simulation , 2007 .