Experimental Investigation and Modeling of the Heat Transfer Coefficient in the Pool Boiling: Bubble Dynamic and Artificial Intelligence

Document Type : Research Article


Department of Chemical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, I.R. IRAN


In this work, the heat transfer coefficient in the pool boiling process was investigated for different alcoholic solutions. To exact evaluation, the bubble dynamic including bubble departure diameter, bubble departure frequency, and active nucleation sites’ density were studied. The results showed that with increasing isopropanol concentration (20 V.% - 80 V.%), bubble departure frequency and active nucleation sites increased while bubble departure diameter decreased. The bubble dynamic cannot be effective in any amount and must be optimized to reach an optimum heat transfer coefficient. Isopropanol concentration of 20 V.% was reported as an optimum state and lower decrease versus deionized water (11.892%). This result confirmed that the bubble departure diameter played a significant role in promoting the heat transfer coefficient. Finally, to predict the experimental data, a Genetic Algorithm (GA) based correlation (power-law function) was developed. The optimization procedure revealed that the GA model had a good agreement with the experimental data (R2=0.968, AAD= 0.0288). In addition, this approach was compared with conventional models (Palen, Stephan, Unal, Fujita, and Inoue).  The GA and the Stephan models presented the best and worst performance, respectively.


Main Subjects

[1] Nasr R., Rahaei N., Improving Heat Transfer in Falling Film Evaporators in Food Industries, Iran. J. Chem. Chem. Eng. (IJCCE), 38: 237-250 (2019).
[2] Yim K., Lee J., Naccarato B., Kim K.J., Surface Wettability Effect on Nucleate Pool Boiling Heat Transfer with Titanium Oxide (TiO2) Coated Heating Surface, Int. J. Heat Mass Transfer, 133: 352-358 (2019).
[3] Alavi F.S., Jami A.M., SeyfKordi A.A., Experimental Investigation in Pool Boiling Heat Transfer of Pure/Binary Mixtures and Heat Transfer Correlations, Iran. J. Chem. Chem. Eng. (IJCCE), 27: 135-150 (2008).
[4] Liang G, Mudawar I., Review of Pool Boiling Enhancement by Surface Modification, Int. J. Heat Mass Transfer, 128: 892-933 (2019).
[5] Kumar G.U., Suresh S., Thansekhar M., Halpati D., Role of Inter-Nanowire Distance In Metal Nanowires on Pool Boiling Heat Transfer Characteristics, Journal of Colloid and Interface Science, 532: 218-230 (2018).
[6] Wang J., Diao M., Liu X., Numerical Simulation of Pool Boiling with Special Heated Surfaces, Int. J. Heat Mass Transfer, 130: 460-468 (2019).
[7] Mohammadi N., Fadda D., Choi CK., Lee J., You S., Effects of Surface Wettability on Pool Boiling of Water Using Super-Polished Silicon Surfaces, Int. J. Heat Mass Transfer, 127: 1128-1137 (2018).
[8] Gheitaghy A.M., Saffari H., Zhang G.Q., Effect of nanostructured microporous surfaces on pool boiling augmentation, Heat Transfer Engineering, 40: 762-771 (2019).
[9] Esawy M., Malayeri M., Modeling of CaSO4 Crystallization Fouling of Finned Tubes During Nucleate Pool Boiling, Chemical Engineering Research and Design, 118: 51-60 (2017).
[10] Gouda R.K., Pathak M., Khan M.K., Pool Boiling Heat Transfer Enhancement with Segmented Finned Microchannels Structured Surface, Int. J. Heat Mass Transfer,127: 39-50 (2018).
[11] Sur A., Lu Y., Pascente C., Ruchhoeft P., Liu D., Pool Boiling Heat Transfer Enhancement with Electrowetting, Int. J. Heat Mass Transfer, 120: 202-217 (2018).
[12] Khooshehchin M., Fathi S., Salimi F., Ovaysi S., Investigation of Effects of Heater Tube Angle on the Pool Boiling Heat Transfer Coefficient, Iran. J. Chem. Chem. Eng. (IJCCE), 154: 119783 (2021).
[13] Godinez J.C., Fadda D., Lee J., You S.M., Development of a Stable Boehmite Layer on Aluminum Surfaces for Improved Pool Boiling Heat Transfer in Water, Applied Thermal Engineering, 156: 541-549 (2019).
[14] Emery T.S., Jaikumar A., Raghupathi P., Joshi I., Kandlikar S.G., Dual Enhancement in HTC and CHF for External Tubular Pool Boiling–A Mechanistic Perspective and Future Directions, Int. J. Heat Mass Transfer, 122: 1053-1073 (2018).
[15] Wang J., Li F.C., Li X.B., Bubble Explosion In Pool Boiling Around a Heated Wire in Surfactant Solution, Int. J. Heat Mass Transfer, 99: 569-575 (2016).
[16] Kutateladze S., Hydrodynamic Model of Heat Transfer Crisis In Free-Convection Boiling, J. Tech. Phys., 20: 1389-1392 (1950).
[17] Kutateladze S., On the Transition to Film Boiling Under Natural Convection, Kotloturbostroenie, 3: 10-12 (1948).
[18] Zuber N., On the Stability of Boiling Heat Transfer, Trans Am. Soc. Mech. Engrs., 80 (1958).
[19] Cao Z., Wu Z., Pham A.D., Yang Y., Abbood S., Falkman P., Ruzgas T., Albèr C., Sundén B., Pool boiling of HFE-7200 on Nanoparticle-Coating Surfaces: Experiments and Heat Transfer Analysis. Int. J. Heat Mass Transfer, 133: 548-560 (2019).
[20] Rohsenow W.M., A Method of Correlating Heat Transfer Data for Surface Boiling of Liquids Cambridge, Mass, MIT Division of Industrial Cooperation, (1951).
[21] Stephan K., Abdelsalam M., Heat-Transfer Correlations for Natural Convection Boiling, Int. J. Heat Mass Transfer, 23: 73-87 (1980). 
[22] Xu Z., Zhao C., Experimental Study on Pool Boiling Heat Transfer in Gradient Metal Foams, Int. J. Heat Mass Transfer, 85: 824-829 (2015).
[23] Xu Z., Zhao C., Enhanced Boiling Heat Transfer by Gradient Porous Metals in Saturated Pure Water and Surfactant Solutions, Applied Thermal Engineering, 100: 68-77 (2016).
[24] Sathyabhama A., Nucleate Pool Boiling Heat Transfer From a Flat-Plate Grooved Surface, J. Enhanced Heat Transfer, 22 (2015).
[25] Khooshehchin M, Mohammadidous A, Ghotbinasab S., An optimization Study on Heat Transfer of Pool Boiling Exposed Ultrasonic Waves and Particles Addition, Int. J. Heat Mass Transfer,114: 104558 (2020).
[26] Shojaeian M., Yildizhan M.M., Coşkun Ö., Ozkalay E., Tekşen Y., Gulgun M.A., Acar H.F.Y., Koşar A., Investigation of Change In Surface Morphology of Heated Surfaces Upon Pool Boiling of Magnetic Fluids Under Magnetic Actuation, Materials Research Express, 3: 096102 (2016).
[27] Abdollahi A., Salimpour M.R., Etesami N., Experimental Analysis of Magnetic Field Effect on the Pool Boiling Heat Transfer of a Ferrofluid, Applied Thermal Engineering, 111: 1101-1110 (2017).
[28] Özdemir M.R., Sadaghiani A.K., Motezakker A.R., Parapari S.S., Park H.S., Acar H.Y., Koşar A., Experimental Studies on Ferrofluid Pool Boiling in the Presence of External Magnetic Force, Applied Thermal Engineering, 139: 598-608 (2018).
[29] Shahriari A., Birbarah P., Oh J., Miljkovic N., Bahadur V., Electric Field–Based Control and Enhancement of Boiling and Condensation, Nanoscale and Microscale Thermophysical Engineering, 21: 102-121 (2017).
[30] Quan X., Gao M., Cheng P., Li J., An Experimental Investigation of Pool Boiling Heat Transfer on Smooth/Rib Surfaces under an Electric Field, Int. J. Heat Mass Transfer, 85: 595-608 (2015).
[31] Jun S., Wi H., Gurung A., Amaya M., You S.M., Pool Boiling Heat Transfer Enhancement of Water Using Brazed Copper Microporous Coatings, Journal of Heat Transfer,138: 071502 (2016).
[32] Godinez J.C., Fadda D., Lee J., You S.M., Enhancement of Pool Boiling Heat Transfer in Water on Aluminum Surface with High Temperature Conductive Microporous Coating, Int. J. Heat Mass Transfer,132: 772-781 (2019).
[33] Guglielmini G., Misale M., Schenone C., Boiling of Saturated FC-72 on Square Pin Fin Arrays, International Journal of Thermal Sciences, 41: 599-608 (2002).
[34] McNeil D., Raeisi A., Kew P., Bobbili P., A comparison of Flow Boiling Heat-Transfer in In-Line Mini Pin Fin and Plane Channel Flows, Applied thermal engineering, 30: 2412-2425 (2010).
[35] Dadjoo M., Etesami N., Esfahany M.N., Influence of Orientation and Roughness of Heater Surface on Critical Heat Flux and Pool Boiling Heat Transfer Coefficient of Nanofluid, Applied Thermal Engineering, 124: 353-361 (2017).
[36] El-Genk M.S., Suszko A., Effects of Inclination Angle and Liquid Subcooling on Nucleate Boiling on Dimpled Copper Surfaces, Int. J. Heat Mass Transfer, 95: 650-661 (2016).
[37] Palen J., Small W., A New Way to Design Kettle and Internal Reboilers, Hydrocarbon Processing, 43: 199-208 (1964).
[38] Stephan K., Korner M., Calculation of Heat Transfer in Evaporating Binary Liquid Mixtures, Chem. Ing. Tech., 41: 409-417 (1969).
[39] Calus W., Rice P., Pool Boiling—Binary Liquid Mixtures, Chemical Engineering Science, 27: 1687-1697 (1972).
[40] Schlunder E.U., Heat Transfer in Nucleate Boiling of Mixturesinternational Heat Transfer Conference Digital Library Begel House Inc, International Heat Transfer Conference Digital Library, (1986).
[41] Ünal H., Prediction of Nucleate Pool Boiling Heat Transfer Coefficients for Binary Mixtures, Int. J. Heat Mass Transfer, 29: 637-640 (1986).
[42] Thome J., Shakir S., A New Correlation for Nucleate Pool Boiling of Aqueous Mixtures, Heat Transfer Conference: Pittsburgh, (1987).
[43] Fujita Y., Tsutsui M., Convective Flow Boiling of Binary Mixtures in a Vertical Tube in Convective Flow Boiling, Taylor & Francis, Washington, (1996).
[44] Inoue T., Monde M., Teruya Y., Pool Boiling Heat Transfer in Binary Mixtures of Ammonia/Water, Int. J. Heat Mass Transfer, 45: 4409-4415 (2002).
[45] Rao G.V., Balakrishnan A., Heat Transfer in Nucleate Pool Boiling of Multicomponent Mixtures, Exp. Therm. Fluid Sci., 29: 87-103 (2004).
[46] Alavi F.S, Seyfe K.A., Jami A.M., Pool Boiling Heat Transfer in Water/Amines Solutions, International Journal of Engineering, 2: 113-130 (2008).
[47] Fazel S.A.A., A Genetic Algorithm-Based Optimization Model for Pool Boiling Heat Transfer on Horizontal Rod Heaters at Isolated Bubble Regime, Heat and Mass Transfer., 53: 2731-2744 (2017).
[48] Gorenflo D., Pool Boiling, VDI Heat Atlas,VDI-Verlag, Dusseldorf, Germany., (1993).
[49] Schmitt L.M., Theory of Genetic Algorithms II: Models For Genetic Operators over the String-Tensor Representation of Populations and Convergence to Global Optima for Arbitrary Fitness Function under Scaling, Theoretical Computer Science, 310: 181-231 (2004).
[50] Goldberg D.E., Genetic Algorithms in Search, Optimization and Machine Learning,(1989).
[51] Khooshechin M., Fathi S., Salimi F., Ovaysi S., The Influence of Surfactant And Ultrasonic Processing on Improvement of Stability and Heat Transfer Coefficient of CuO Nanoparticles in the Pool Boiling, Int. J. Heat Mass Transfer.,154: 119783 (2020).
[52] Ivey H., Relationships between Bubble Frequency, Departure Diameter and Rise Velocity in Nucleate Boiling, Int. J. Heat Mass Transfer,10: 1023-1040 (1967).
[53] Ghotbinasab S., Khooshehchin M., Mohammadidoust A., Rafiee M., Salimi F., Fathi S., Comparing the Heat Transfer Coefficient of Copper Sulfate and Isopropanol Solutions in the Pool Boiling Process: Bubble Dynamic and Ultrasonic Intensification, Chemical Engineering Science, 237: 116589 (2021).
[54] Thorncroft G., Klausnera J., Mei R., An Experimental Investigation of Bubble Growth and Detachment in Vertical Upflow and Downflow Boiling, Int. J. Heat Mass Transfer, 41: 3857-3871 (1998).
[55] Jung S., Kim H., Effects of Surface Orientation on Nucleate Boiling Heat Transfer in a Pool of Water under Atmospheric Pressure, Nuclear Engineering and Design, 305: 347-358 (2016).
[56] Cole R., Bubble frequencies and Departure Volumes at Subatmospheric Pressures, AIChE Journal., 13: 779-783 (1967).
[57] McNelly M., A Correlation of Rates of Heat Transfer to Nucleate Boiling of Liquids, J Imperial College Chem Eng Soc.,7: 18-34 (1953).
[58] Kutateladze S.S., Heat Transfer in Condensation and Boiling, AEC-tr-3770, (1959).
[59] Mostinski I., Application of the Rule of Corresponding States for Calculation of Heat Transfer and Critical Heat Flux, Teploenergetika, 4: 66-71 (1963).
[60] Labunstov D., Mechanism of Vapor Bubble Growth in Boiling on the Heating Surface, J. Eng. Phys., 6: 33-39 (1963).
[61] Boyko L., Kruzhilin G., Heat Transfer and Hydraulic Resistance During Condensation of Steam in a Horizontal Tube and in a Bundle of Tubes, Int. J. Heat Mass Transfer,10: 361-373 (1967).
[62] Nishikawa K., Fujita Y., Ohta H., Hitaka S., Effects of System Pressure and Surface Roughness on Nucleate Boiling Heat Transfer, Mem. Fac. Eng., Kyushu Univ., 42: 95-123 (1982).
[63] Cooper M., Saturation Nucleate Pool Boiling-A Simple Correlation, IChemE Symp Ser, 786 (1984).
[64] Nishikawa K., Fujita Y., Nucleate Boiling Heat Transfer and its Augmentation, Advances in Heat Transfer, 20: 1-82 (1990).
[65] Sarma P., Srinivas V., Sharma K., Subrahmanyam T., Kakac S., A Correlation to Predict Heat Transfer Coefficient in Nucleate Boiling on Cylindrical Heating Elements, International Journal of Thermal Sciences, 47: 347-354 (2008).
[66] Jabardo J.M.S., Ribatski G., Stelute E., Roughness and Surface Material Effects on Nucleate Boiling Heat Transfer From Cylindrical Surfaces to Refrigerants R-134a and R-123, Exp. Therm. Fluid Sci., 33: 579-590 (2009).
[67] Fazel S.A., Roumana S., “Pool Boiling Heat Transfer to Pure Liquids”, WSEAS Conference, USA (2010).
[68] Kiyomura I.S., Mogaji T.S., Manetti L.L., Cardoso E.M., A Predictive Model for Confined and Unconfined Nucleate Boiling Heat Transfer Coefficient, Applied Thermal Engineering, 127: 1274-1284 (2017).
[69] Lee H.C., OhB.Do., BaeS.W,  KimM.H., Single Bubble Growth in Saturated Pool Boiling on a Constant Wall Temperature Surface, International Journal of Multiphase Flow, 29: 1857-1874 (2003).
[70] Jamialahmadi M., Helalizadeh A., Müller-Steinhagen H., Pool Boiling Heat Transfer to Electrolyte Solutions, Int. J. Heat Mass Transfer, 47: 729-742 (2004) .
[71] Fazel S.A.A, Shafaee S.B., Bubble Dynamics For Nucleate Pool Boiling of Electrolyte Solutions, Journal of Heat Transfer, 132: 081502 (2010).
[72] Cole R., A Photographic Study of Pool Boiling in the Region of the Critical Heat Flux, AIChE Journal, 6:533-538 (1960).
[73] Zuber N., Nucleate Boiling. the Region of Isolated Bubbles and the Similarity with Natural Convection, Int. J. Heat Mass Transfer, 6: 53-78 (1963).