Prediction of viscosity of water-based Al2O3, TiO2, SiO2, and CuO nanofluids using a reliable approach

Abstract Nanoparticles are usually used in the form of nanofluids that consist of nanoparticle and a base fluid. Nanofluids have been used in many industrial processes like engine cooling and enhanced oil recovery because of their properties. One of these properties is viscosity that is very important especially for chemical and petroleum engineering applications. Some empirical and theoretical models have been developed for viscosity prediction of nanofluids, but they have low accuracy or small condition ranges of applicability. Regarding these reasons, there is a huge interest for accurate viscosity prediction of nanofluids using a simple, rapid, accurate, and comprehensive modeling approach. In this study, Least Squares Support Vector Machines (LSSVM) is used as a powerful tool for viscosity prediction of water-based nanofluids of Al2O3, TiO2, SiO2, and CuO. The results of the model were in excellent agreement with experimental data with a very good coefficient of determination of 0.998. The results show that the proposed LSSVM model has a very good performance in comparison to the other existed models. Furthermore, model capability for viscosity trends prediction was checked against nanoparticle volume fraction and temperature changes and it shows very good agreement with experimental data. Finally, leverage approach is utilized to find the outliers and check the applicability domain of the proposed model.

[1]  M. Kachanov,et al.  On the effective viscosity of suspensions , 2010 .

[2]  Thomas J. Dougherty,et al.  A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres , 1959 .

[3]  F. Duan,et al.  Effects of Temperature and Particle Size on the Thermal Property Measurements of Al2O3−Water Nanofluids , 2010 .

[4]  Xianfan Xu,et al.  Thermal Conductivity of Nanoparticle -Fluid Mixture , 1999 .

[5]  Colin R. Goodall,et al.  13 Computation using the QR decomposition , 1993, Computational Statistics.

[6]  Seok Pil Jang,et al.  Effective viscosities and thermal conductivities of aqueous nanofluids containing low volume concentrations of Al2O3 nanoparticles , 2008 .

[7]  Young I Cho,et al.  HYDRODYNAMIC AND HEAT TRANSFER STUDY OF DISPERSED FLUIDS WITH SUBMICRON METALLIC OXIDE PARTICLES , 1998 .

[8]  Ali Eslamimanesh,et al.  Solubility Parameters of Nonelectrolyte Organic Compounds: Determination Using Quantitative Structure—Property Relationship Strategy , 2011 .

[9]  E. W. Hough,et al.  Interfacial Tensions at Reservoir Pressures and Temperatures; Apparatus and the Water-Methane System , 1951 .

[10]  Cupples Hl Interfacial tension by the ring method the benzene-water interface. , 1947 .

[11]  T. Lundgren,et al.  Slow flow through stationary random beds and suspensions of spheres , 1972, Journal of Fluid Mechanics.

[12]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[13]  Amin Gholami,et al.  Prediction of Crude Oil Asphaltene Precipitation Using Support Vector Regression , 2014 .

[14]  W. Roetzel,et al.  Natural convection of nano-fluids , 2003 .

[15]  Thirumalachari Sundararajan,et al.  Rheological and flow characteristics of nanofluids: Influence of electroviscous effects and particle agglomeration , 2009 .

[16]  Ali Elkamel,et al.  Reservoir permeability prediction by neural networks combined with hybrid genetic algorithm and particle swarm optimization , 2013 .

[17]  R. H. Dettre,et al.  The wettability of low-energy liquid surfaces , 1966 .

[18]  Payam Setoodeh,et al.  Artificial Neural Network Modeling of Surface Tension for Pure Organic Compounds , 2012 .

[19]  M. M. Piñeiro,et al.  CuO in water nanofluid: Influence of particle size and polydispersity on volumetric behaviour and viscosity , 2011 .

[20]  Jinlin Wang,et al.  Measurements of nanofluid viscosity and its implications for thermal applications , 2006 .

[21]  Nello Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods , 2000 .

[22]  Ali Eslamimanesh,et al.  Phase Equilibrium Modeling of Structure H Clathrate Hydrates of Methane + Water "Insoluble" Hydrocarbon Promoter Using QSPR Molecular Approach , 2011 .

[23]  I. Tavman,et al.  Experimental investigation of viscosity and thermal conductivity of suspensions containing nanosized ceramic particles , 2008 .

[24]  Haisheng Chen,et al.  Heat transfer and flow behaviour of aqueous suspensions of TiO2 nanoparticles (nanofluids) flowing upward through a vertical pipe , 2007 .

[25]  Chunqing Tan,et al.  Rheological behaviour of nanofluids , 2007 .

[26]  D. Das,et al.  Temperature dependent rheological property of copper oxide nanoparticles suspension (nanofluid). , 2006, Journal of nanoscience and nanotechnology.

[27]  L. Colla,et al.  Viscosity and thermal conductivity measurements of water-based nanofluids containing titanium oxide nanoparticles , 2012 .

[28]  Fi-John Chang,et al.  Adaptive neuro-fuzzy inference system for prediction of water level in reservoir , 2006 .

[29]  A. Einstein Eine neue Bestimmung der Moleküldimensionen , 1905 .

[30]  Amin Shokrollahi,et al.  Evolving artificial neural network and imperialist competitive algorithm for prediction oil flow rate of the reservoir , 2013, Appl. Soft Comput..

[31]  Wang Zi-hao,et al.  Estimation of fluid-fluid interfacial tensions of multicomponent mixtures , 1986 .

[32]  Alireza Bahadori,et al.  Implementing radial basis function networks for modeling CO2-reservoir oil minimum miscibility pressure , 2013 .

[33]  Carlos Casanova,et al.  A study on stability and thermophysical properties (density and viscosity) of Al2O3 in water nanofluid , 2009 .

[34]  Johan A. K. Suykens,et al.  Weighted least squares support vector machines: robustness and sparse approximation , 2002, Neurocomputing.

[35]  Amin Shokrollahi,et al.  Evolving an accurate model based on machine learning approach for prediction of dew-point pressure in gas condensate reservoirs , 2014 .

[36]  Ali Naseri,et al.  Reservoir oil viscosity determination using a rigorous approach , 2014 .

[37]  Johan A. K. Suykens,et al.  Coupled Simulated Annealing , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[38]  Stephen U. S. Choi Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[39]  Paola Gramatica,et al.  Principles of QSAR models validation: internal and external , 2007 .

[40]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[41]  H. Masuda,et al.  ALTERATION OF THERMAL CONDUCTIVITY AND VISCOSITY OF LIQUID BY DISPERSING ULTRA-FINE PARTICLES. DISPERSION OF AL2O3, SIO2 AND TIO2 ULTRA-FINE PARTICLES , 1993 .

[42]  Wenhua Yu,et al.  The role of interfacial layers in the enhanced thermal conductivity of nanofluids: A renovated Hamilton–Crosser model , 2004 .

[43]  Rahman Saidur,et al.  Latest developments on the viscosity of nanofluids , 2012 .

[44]  Hajir Karimi,et al.  Correlation of viscosity in nanofluids using genetic algorithm-neural network (GA-NN) , 2011 .

[45]  C. T. Nguyen,et al.  Viscosity data for Al2O3-Water nanofluid - Hysteresis : is heat transfer enhancement using nanofluids reliable? , 2008 .

[46]  Amin Shokrollahi,et al.  Applying a Smart Technique for Accurate Determination of Flowing Oil-Water Pressure Gradient in Horizontal Pipelines , 2014 .

[47]  A. Bahadori,et al.  Prediction of the aqueous solubility of BaSO4 using pitzer ion interaction model and LSSVM algorithm , 2014 .

[48]  Jack F. Douglas,et al.  Model for the Viscosity of Particle Dispersions , 1999 .

[49]  D. Misra,et al.  Viscosity of copper oxide nanoparticles dispersed in ethylene glycol and water mixture , 2007 .

[50]  P. N. Nwosu,et al.  The Viscosity of Nanofluids: A Review of the Theoretical, Empirical, and Numerical Models , 2016 .

[51]  T. Kitano,et al.  An empirical equation of the relative viscosity of polymer melts filled with various inorganic fillers , 1981 .

[52]  Ali Naseri,et al.  Asphaltene precipitation due to natural depletion of reservoir: Determination using a SARA fraction based intelligent model , 2013 .

[53]  I. Tavman,et al.  Thermal Conductivity and Viscosity Measurements of Water-Based TiO2 Nanofluids , 2009 .

[54]  Peter J. Rousseeuw,et al.  Robust regression and outlier detection , 1987 .

[55]  A. Elkamel,et al.  Utilization of support vector machine to calculate gas compressibility factor , 2013 .

[56]  A. Bahadori,et al.  Prediction of phase equilibrium of CO2/cyclic compound binary mixtures using a rigorous modeling approach , 2014 .

[57]  C. Felser,et al.  High spin polarization in Co2CrAl–Cr superlattice , 2009 .

[58]  Seyed Mostafa Hosseinalipour,et al.  Using Neural Network for Determination of Viscosity in Water-TiO 2 Nanofluid , 2012 .

[59]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machine Classifiers , 1999, Neural Processing Letters.

[60]  Farhad Gharagheizi,et al.  A novel method for evaluation of asphaltene precipitation titration data , 2012 .

[61]  G. Batchelor The effect of Brownian motion on the bulk stress in a suspension of spherical particles , 1977, Journal of Fluid Mechanics.

[62]  Farhad Gharagheizi,et al.  Evaluation of experimental data for wax and diamondoids solubility in gaseous systems , 2012 .

[63]  A. Graham On the viscosity of suspensions of solid spheres , 1981 .

[64]  S. Wongwises,et al.  An experimental study on the heat transfer performance and pressure drop of TiO2-water nanofluids flowing under a turbulent flow regime , 2010 .

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

[66]  HEAT TRANSFER ENHANCEMENT USING NANO FLUIDS AND INNOVATIVE METHODS - AN OVERVIEW , 2012 .

[67]  Farhad Gharagheizi,et al.  Gas Hydrate Phase Equilibrium in Porous Media: Mathematical Modeling and Correlation , 2012 .

[68]  Haifeng Wang,et al.  Comparison of SVM and LS-SVM for Regression , 2005, 2005 International Conference on Neural Networks and Brain.

[69]  A. Behzadmehr,et al.  A new model for calculating the effective viscosity of nanofluids , 2009 .

[70]  M. Oblak,et al.  The calculation of thermal conductivity, viscosity and thermodynamic properties for nanofluids on the basis of statistical nanomechanics , 2007 .

[71]  W. Tseng,et al.  Effect of polymeric dispersant on rheological behavior of nickel–terpineol suspensions , 2003 .

[72]  Chih-Jen Lin,et al.  Asymptotic Behaviors of Support Vector Machines with Gaussian Kernel , 2003, Neural Computation.

[73]  S. Suresh,et al.  Experimental investigations and theoretical determination of thermal conductivity and viscosity of Al2O3/water nanofluid , 2010 .

[74]  C. T. Nguyen,et al.  Temperature and particle-size dependent viscosity data for water-based nanofluids : Hysteresis phenomenon , 2007 .

[75]  W. Tseng,et al.  Rheology and colloidal structure of aqueous TiO2 nanoparticle suspensions , 2003 .

[76]  Eiyad Abu-Nada,et al.  Effects of variable viscosity and thermal conductivity of Al2O3-water nanofluid on heat transfer enhancement in natural convection , 2009 .

[77]  Sarit K. Das,et al.  Effect of particle size on the convective heat transfer in nanofluid in the developing region , 2009 .

[78]  M. Corcione Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids , 2011 .

[79]  Gunnar Rätsch,et al.  An introduction to kernel-based learning algorithms , 2001, IEEE Trans. Neural Networks.

[80]  Farhad Gharagheizi,et al.  Toward an intelligent approach for determination of saturation pressure of crude oil , 2013 .

[81]  S. Wongwises,et al.  Measurement of temperature-dependent thermal conductivity and viscosity of TiO2-water nanofluids , 2009 .

[82]  V. Vapnik Pattern recognition using generalized portrait method , 1963 .

[83]  A. Shokrollahi,et al.  Predicting the solubility of SrSO4 in Na–Ca–Mg–Sr–Cl–SO4–H2O system at elevated temperatures and pressures , 2014 .

[84]  Farhad Gharagheizi,et al.  Toward a predictive model for estimating dew point pressure in gas condensate systems , 2013 .

[85]  Amin Shokrollahi,et al.  State-of-the-Art Least Square Support Vector Machine Application for Accurate Determination of Natural Gas Viscosity , 2014 .

[86]  Malcolm N. Jones,et al.  Interfacial tension studies at the aqueous urea-n-decane and aqueous urea + surfactant-n-decane interfaces , 1973 .

[87]  A. Acrivos,et al.  On the viscosity of a concentrated suspension of solid spheres , 1967 .

[88]  Farhad Gharagheizi,et al.  Intelligent model for prediction of CO2 – Reservoir oil minimum miscibility pressure , 2013 .

[89]  Josua P. Meyer,et al.  Viscosity of nanofluids based on an artificial intelligence model , 2013 .

[90]  Wen-qiang Lu,et al.  STUDY FOR THE PARTICLE'S SCALE EFFECT ON SOME THERMOPHYSICAL PROPERTIES OF NANOFLUIDS BY A SIMPLIFIED MOLECULAR DYNAMICS METHOD , 2008 .

[91]  Babak Rezaee,et al.  Application of adaptive neuro-fuzzy inference system for solubility prediction of carbon dioxide in polymers , 2009, Expert Syst. Appl..

[92]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[93]  J. M. McCloskey,et al.  Thermal conductivity and particle agglomeration in alumina nanofluids: experiment and theory. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[94]  Amir H. Mohammadi,et al.  Predicting the Hydrate Stability Zones of Natural Gases Using Artificial Neural Networks , 2007 .

[95]  D. Jones,et al.  An experimental test of the validity of Antonow's rule , 1934 .

[96]  H. Brinkman The Viscosity of Concentrated Suspensions and Solutions , 1952 .