Fouling modeling and prediction approach for heat exchangers using deep learning

Abstract In this article, we develop a generalized and scalable statistical model for accurate prediction of fouling resistance using commonly measured parameters of industrial heat exchangers. This prediction model is based on deep learning where a scalable algorithmic architecture learns non-linear functional relationships between a set of target and predictor variables from large number of training samples. The efficacy of this modeling approach is demonstrated for predicting fouling in an analytically modeled cross-flow heat exchanger, designed for waste heat recovery from flue-gas using room temperature water. The performance results of the trained models demonstrate that the mean absolute prediction errors are under 10 − 4 K W − 1 for flue-gas side, water side and overall fouling resistances. The coefficients of determination (R2), which characterize the goodness of fit between the predictions and observed data, are over 99%. Even under varying levels of measurement noise in the inputs, we demonstrate that predictions over an ensemble of multiple neural networks achieves better accuracy and robustness to noise. We find that the proposed deep-learning fouling prediction framework learns to follow heat exchanger flow and heat transfer physics, which we confirm using locally interpretable model agnostic explanations around randomly selected operating points. Overall, we provide a robust algorithmic framework for fouling prediction that can be generalized and scaled to various types of industrial heat exchangers.

[1]  Naijun Zhou,et al.  Experimental study on Organic Rankine Cycle for waste heat recovery from low-temperature flue gas , 2013 .

[2]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[3]  V. A. Epanechnikov Non-Parametric Estimation of a Multivariate Probability Density , 1969 .

[4]  Vassilios S. Vassiliadis,et al.  Mitigation of fouling in refinery heat exchanger networks by optimal management of cleaning , 2001 .

[5]  Anwar Khalil Sheikh,et al.  A Maintenance Strategy for Heat Transfer Equipment Subject to Fouling: A Probabilistic Approach , 1997 .

[6]  Norman Epstein,et al.  General Thermal Fouling Models , 1988 .

[7]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[8]  R. Ulinskas,et al.  Heat transfer in tube banks in crossflow , 1988 .

[9]  Ning Qian,et al.  On the momentum term in gradient descent learning algorithms , 1999, Neural Networks.

[10]  Leo Breiman,et al.  Bagging Predictors , 1996, Machine Learning.

[11]  L. Schwartz Handbook Of Heat Transfer , 2016 .

[12]  Sachin U. Nimbalkar,et al.  Industrial Waste Heat Recovery - Potential Applications, Available Technologies and Crosscutting R&D Opportunities , 2015 .

[13]  E. Schlunder Heat exchanger design handbook , 1983 .

[14]  Augustine C. M. Wong,et al.  Data Transformations for Inference with Linear Regression: Clarifications and Recommendations. , 2017 .

[15]  G. L. Shires,et al.  Process Heat Transfer , 1994 .

[16]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[17]  William T. Choate,et al.  Waste Heat Recovery. Technology and Opportunities in U.S. Industry , 2008 .

[18]  Robert J. Marks,et al.  Neural Smithing: Supervised Learning in Feedforward Artificial Neural Networks , 1999 .

[19]  Hassan Al-Haj Ibrahim,et al.  Fouling in Heat Exchangers , 2012 .

[20]  Tutpol Ardsomang,et al.  Heat Exchanger Fouling and Estimation of Remaining Useful Life , 2021 .

[21]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[22]  E. N. Sieder,et al.  Heat Transfer and Pressure Drop of Liquids in Tubes , 1936 .

[23]  A. P. Watkinson,et al.  Scaling of Heat Exchanger Tubes by Calcium Carbonate , 1975 .

[24]  Jason W. Osbourne Notes on the Use of Data Transformation. , 2002 .

[25]  C Riverol,et al.  Estimation of fouling in a plate heat exchanger through the application of neural networks , 2005 .

[26]  A. Watkinson,et al.  Chemical reaction fouling of organic fluids , 1992 .

[27]  Transformations and R 2 , 1991 .

[28]  Razvan Pascanu,et al.  On the Number of Linear Regions of Deep Neural Networks , 2014, NIPS.

[29]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[30]  R. B. Ritter,et al.  Crystalline Fouling Studies , 1983 .

[31]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[32]  K. S. Chunangad,et al.  Fouling Mitigation Using Helixchanger Heat Exchangers , 2003 .

[33]  T. O. Kvålseth Cautionary Note about R 2 , 1985 .

[34]  Marappagounder Ramasamy,et al.  Heat exchanger fouling model and preventive maintenance scheduling tool , 2007 .

[35]  S. Sablani A neural network approach for non-iterative calculation of heat transfer coefficient in fluid–particle systems , 2001 .

[36]  A. P. Watkinson,et al.  A critical review of organic fluid fouling , 1990 .

[37]  M. Dambrine,et al.  Fouling detection in a heat exchanger: A polynomial fuzzy observer approach , 2013 .

[38]  Manjunath C. Rajagopal,et al.  Materials-to-device design of hybrid metal-polymer heat exchanger tubes for low temperature waste heat recovery , 2019, International Journal of Heat and Mass Transfer.

[39]  A. Pritchard The Economics of Fouling , 1988 .

[40]  Michèle Sebag,et al.  Collaborative hyperparameter tuning , 2013, ICML.

[41]  Robert Hecht-Nielsen,et al.  Theory of the backpropagation neural network , 1989, International 1989 Joint Conference on Neural Networks.

[42]  Rodney L. McClain,et al.  Neural network analysis of fin-tube refrigerating heat exchanger with limited experimental data , 2001 .

[43]  Krzysztof Urbaniec,et al.  Optimal cleaning schedule for heat exchangers in a heat exchanger network , 2005 .

[44]  S. Tassou,et al.  Waste heat recovery technologies and applications , 2018, Thermal Science and Engineering Progress.

[45]  Anders Krogh,et al.  Neural Network Ensembles, Cross Validation, and Active Learning , 1994, NIPS.

[46]  N. Nagelkerke,et al.  A note on a general definition of the coefficient of determination , 1991 .

[47]  Stéphane Lecoeuche,et al.  Online fouling detection in electrical circulation heaters using neural networks , 2003 .

[48]  Hans Müller-Steinhagen,et al.  Fouling of Heat Exchangers-New Approaches to Solve an Old Problem , 2005 .

[49]  Tara N. Sainath,et al.  FUNDAMENTAL TECHNOLOGIES IN MODERN SPEECH RECOGNITION Digital Object Identifier 10.1109/MSP.2012.2205597 , 2012 .

[50]  A. J. Morris,et al.  Estimation of impurity and fouling in batch polymerisation reactors through the application of neural networks , 1999 .

[51]  B. J. Reitzer Rate of Scale Formation in Tubular Heat Exchangers. Mathematical Analysis of Factors Influencing Rate of Decline of Over-all Heat Transfer Coefficients , 1964 .

[52]  Hans Müller-Steinhagen,et al.  Heat Exchanger Fouling - Mitigation and Cleaning Technologies , 2000 .

[53]  W. Rohsenow,et al.  Handbook of Heat Transfer , 1998 .

[54]  Y. Nesterov A method for unconstrained convex minimization problem with the rate of convergence o(1/k^2) , 1983 .

[55]  A. P. Watkinson,et al.  Fouling Characteristics of a Light Australian Crude Oil , 2005 .

[56]  Gudmundur Jonsson Parameter Estimation in Models of Heat Exchangers and Geothermal Reservoirs , 1990 .

[57]  C. B. Panchal,et al.  Analysis of Exxon crude-oil-slip stream coking data , 1995 .

[58]  Sun Lingfang,et al.  Research on the Fouling Prediction of Heat Exchanger Based on Support Vector Machine , 2008, 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA).

[59]  A. Colburn,et al.  Mean Temperature Difference and Heat Transfer Coefficient in Liquid Heat Exchangers , 1933 .

[60]  Léon Bottou,et al.  Large-Scale Machine Learning with Stochastic Gradient Descent , 2010, COMPSTAT.

[61]  Leo Breiman,et al.  Bagging Predictors , 1996, Machine Learning.

[62]  Jürgen Schmidhuber,et al.  Deep learning in neural networks: An overview , 2014, Neural Networks.

[63]  S. Kakaç,et al.  Heat Exchangers: Selection, Rating, and Thermal Design , 1997 .

[64]  Sepp Hochreiter,et al.  Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs) , 2015, ICLR.

[65]  Muhammad Jahidul Hoque,et al.  Extreme Anti-Scaling Performance of Slippery Omniphobic Covalently Attached Liquids. , 2020, ACS applied materials & interfaces.

[66]  Carlos Guestrin,et al.  Model-Agnostic Interpretability of Machine Learning , 2016, ArXiv.