
Pitak Promthaisong
Heat Pipe and Thermal Equipment Design Research Unit, Department of Mechanical Engineering, Faculty of Engineering, Mahasarakham University, 44150
Bopit Bubphachot
Heat Pipe and Thermal Equipment Design Research Unit, Department of Mechanical Engineering, Faculty of Engineering, Mahasarakham University, 44150
Teerapat Chompookham
Heat Pipe and Thermal Equipment Design Research Unit, Department of Mechanical Engineering, Faculty of Engineering, Mahasarakham University, 44150
Narin Siriwan
Heat Pipe and Thermal Equipment Design Research Unit, Department of Mechanical Engineering, Faculty of Engineering, Mahasarakham University, 44150
kittinan Wansasueb
Heat Pipe and Thermal Equipment Design Research Unit, Department of Mechanical Engineering, Faculty of Engineering, Mahasarakham University, 44150
DOI: https://doi.org/10.14456/apst.2025.37
Keywords: Twisted oval tube Heat transfer Surrogate model Kriging Surrogate-assisted design optimization
Abstract
A design for a twisted oval tube (TOT) heat exchanger using a surrogate-assisted metaheuristic (MH) optimization technique is proposed in this work. The heat transfer characteristic in the TOTs is presented using the computational fluid dynamic (CFD) method, considering parameters such as pitch ratios (PR), cross-sectional ratios (DR), and Reynolds number (Re) ranging from 0.6 to 1.4, 0.02 to 0.1, and 100 to 2,000, respectively. The fitness functions were considered as multi-objective, including the Nusselt number (Nu) and the Poiseuille number (fRe) [1]. To reduce the time consumed in the design procedure, surrogate-assisted optimization was applied in the optimum design search phase. Well-known surrogate models (SuMo), including the Kriging (KRG), radial basis function interpolation (RBF), and k-nearest neighborhood method (KNN), were investigated and compared when applied with metaheuristic algorithms. The results show that the most acceptable prediction model is the RBF-Inverse Multiquadric kernel with the multi-objective meta‑heuristic with iterative parameter distribution estimation (MMIPDE), with average errors of 20.9731 and 15.6011 for Nu and fRe, respectively.
How to Cite
Promthaisong, P., Bubphachot, B. ., Chompookham, T. ., Siriwan, N. ., & Wansasueb, kittinan. (2025). The surrogate assisted design optimization of a twisted oval tube heat exchanger. Asia-Pacific Journal of Science and Technology, 30(03), APST–30. https://doi.org/10.14456/apst.2025.37
References
Eiamsa-ard S, Chuwattanakul V, Safikhani H, et al. Prediction of heat transfer and fluid flow in a cross-corrugated tube using numerical methods, artificial neural networks and genetic algorithms. Thermophys Aeromechanics 2022; 29: 229–247.
Samadifar M, Toghraie D. Numerical simulation of heat transfer enhancement in a plate-fin heat exchanger using a new type of vortex generator. Appl Therm Eng. 2018; 133: 671–681.
Wansasueb K, Pholdee N, Bureerat S. Optimum radii and heights of U-shaped baffles in a square duct heat exchanger using surrogate-assisted optimization. Eng Appl Sci Res. 2017; 44: 84–89.
Tharakeshwar TK, Seetharamu KN, Durga Prasad B. Multi-objective optimization using bat algorithm for shell and tube heat exchangers. Appl Therm Eng. 2017; 110: 1029–1038.
Bureerat S, Srisomporn S. Optimum plate-fin heat sinks by using a multi-objective evolutionary algorithm. Eng Optim. 2010; 42: 305–323.
Augspurger M, Choi KK, Udaykumar HS. Optimizing fin design for a PCM-based thermal storage device using dynamic Kriging. Int J Heat Mass Transf. 2018; 121: 290–308.
Promthaisong P, Chuwattanakul V, Eiamsa-Ard S. Thermal and swirl flow topologies in a twisted square duct with a multi-twisted tape installed. J Therm Sci Technol. 2020; 15: JTST0008–JTST0008.
Promthaisong P, Jedsadaratanachai W, Eiamsa-Ard S. 3D Numerical study on the flow topology and heat transfer characteristics of turbulent forced convection in spirally corrugated tube. Numer Heat Transf Part A Appl. 2016; 69: 607–629.
Hosseinnezhad R, Akbari OA, Hassanzadeh Afrouzi H, et al. Numerical study of turbulent nanofluid heat transfer in a tubular heat exchanger with twin twisted-tape inserts. J Therm Anal Calorim. 2018; 132: 741–759.
Samutpraphut B, Eiamsa-ard S, Chuwattanakul V, et al. Influence of sawtooth twisted tape on thermal enhancement of heat exchanger tube. Energy Report.s 2023; 9: 696–703.
Miansari M, Valipour MA, Arasteh H, et al. Energy and exergy analysis and optimization of helically grooved shell and tube heat exchangers by using Taguchi experimental design. J Therm Anal Calorim. 2020; 139: 3151–3164.
Han JC, Glicksman LR, Rohsenow WM. An investigation of heat transfer and friction for rib-roughened surfaces. Int J Heat Mass Transf. 1978; 21: 1143–1156.
Thianpong C, Eiamsa-Ard P, Eiamsa-Ard S. Heat transfer and thermal performance characteristics of heat exchanger tube fitted with perforated twisted-tapes. Heat Mass Transf und Stoffuebertragung. 2012; 48: 881–892.
Maakala V, Järvinen M, Vuorinen V. Optimizing the heat transfer performance of the recovery boiler superheaters using simulated annealing, surrogate modeling, and computational fluid dynamics. Energy. 2018; 160: 361–377.
Naphon P, Wiriyasart S. Experimental study on laminar pulsating flow and heat transfer of nanofluids in micro-fins tube with magnetic fields. Int J Heat Mass Transf. 2018; 118: 297–303.
Lu J, Sheng X, Ding J, et al. Transition and turbulent convective heat transfer of molten salt in spirally grooved tube. Exp Therm Fluid Sci. 2013; 47: 180–185.
Pour Razzaghi MJ, Ghassabian M, Daemiashkezari M, et al. Thermo-hydraulic performance evaluation of turbulent flow and heat transfer in a twisted flat tube: A CFD approach. Case Stud Therm Eng. 2022; 35: 102107.
Promthaisong P, Chuwattanakul V, Eiamsa-ard S. 3D numerical analysis of thermal-hydraulic behaviors of turbulent flow inside twisted square ducts. Thermophys Aeromechanics 2020; 27: 345–357.
Eiamsa-ard S, Maruyama N, Hirota M, et al. Heat transfer mechanism in ribbed twisted-oval tubes. Int J Therm Sci. 2023; 193: 108532.
Daniali OA, Toghraie D, Eftekhari SA. Thermo-hydraulic and economic optimization of Iranol refinery oil heat exchanger with Copper oxide nanoparticles using MOMBO. Phys A Stat Mech its Appl. 2020; 540: 123010.
Moradi A, Toghraie D, Isfahani AHM, et al. An experimental study on MWCNT–water nanofluids flow and heat transfer in double-pipe heat exchanger using porous media. J Therm Anal Calorim. 2019; 137: 1797–1807.
Hemmat Esfe M, Hajmohammad H, Toghraie D, et al. Multi-objective optimization of nanofluid flow in double tube heat exchangers for applications in energy systems. Energy. 2017; 137: 160–171.
Patankar S V., Spalding DB. Heat Mass Transf Bound Layers. 1970; 1970.
Patankar S V., Spalding DB. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int J Heat Mass Transf. 1972; 15: 1787–1806.
Knecht S, Zdravkov D, Albers A. Surrogate models for heat transfer in oscillating flow with a local heat source. Fluids 2023; 8(3):80.
Briceno-Mena LA, Arges CG, Romagnoli JA. Machine learning-based surrogate models and transfer learning for derivative free optimization of HT-PEM fuel cells. Comput Chem Eng. 2023; 171: 108159.
Zamengo M, Wu S, Yoshida R, et al. Multi-objective optimization for assisting the design of fixed-type packed bed reactors for chemical heat storage. Appl Therm Eng. 2023; 218: 119327.
Fawaz A, Hua Y, Le Corre S, et al. Topology optimization of heat exchangers: A review. Energy. 2022; 252: 124053.
Wansasueb K, Bureerat S. Design of turbulators for a rectangular duct heat exchanger. In: Phadungsak Rattanadecho (ed) The 29th Conference of Mechanical Engineering Network of Thailand. Nakhon Ratchasima: Thai Society of Mechanical Engineers, 2015;529–536.
Wansaseub K, Pholdee N, Bureerat S. Optimal U-shaped baffle square-duct heat exchanger through surrogate-assisted self-adaptive differential evolution with neighbourhood search and weighted exploitation-exploration. Appl Therm Eng. 2017; 118: 455–463.
Eiamsa-ard S, Promthaisong P, Thianpong C, et al. Influence of three-start spirally twisted tube combined with triple-channel twisted tape insert on heat transfer enhancement. Chem Eng Process Process Intensif. 2016; 102: 117–129.
Forrester AIJ, Sóbester A, Keane AJ. Engineering Design via Surrogate Modelling. Wiley, 2008. Epub ahead of print July 2008.
Forrester AIJ, Sóbester A, Keane AJ. Engineering design via surrogate modelling : A practical guide. J Wiley, 2008.
Ghosh J, Nag A. An overview of radial basis function networks. Physica, Heidelberg, pp. 1–36.
Zhang Z. Introduction to machine learning: K-nearest neighbors. Ann Transl Med; 4. Epub ahead of print 1 June 2016. DOI: 10.21037/atm.2016.03.37.
Gan G, Valdez EA. Ordinary kriging. Metamodeling Var Annu 2019; 69–94.
Panagant N, Bureerat S. Truss topology, shape and sizing optimization by fully stressed design based on hybrid grey wolf optimization and adaptive differential evolution. Eng Optim 2018; 50: 1645–1661.
Wu Y, Wang H, Zhang B, et al. Using radial basis function networks for function approximation and classification. ISRN Appl Math. 2012; 2012: 1–34.
Schaback R. Radial basis functions viewed from cubic splines. In: Multivariate Approximation and Splines. Birkhäuser Basel, pp. 245–258.
Javaran SH, Khaji N. Inverse multiquadric (IMQ) function as radial basis function for plane dynamic analysis using dual reciprocity boundary element method. Tarbiat Modares University. 2012.
Parzlivand F, Shahrezaee A. The use of inverse quadratic radial basis functions for the solution of an inverse heat problem. Bull Iran Math Soc. 2016;42(5):1127-42.
Sarra SA. Integrated multiquadric radial basis function approximation methods. Comput Math with Appl. 2006; 51: 1283–1296.
Tada T, Hitomi K, Wu Y, et al. K-mean clustering algorithm for processing signals from compound semiconductor detectors. Nucl Instrum Methods Phys Res Sect A. 2011; 659: 242–246.
Ahmad A, Dey L. A k-mean clustering algorithm for mixed numeric and categorical data. Data Knowl Eng 2007; 63: 503–527.
Wansasueb K, Pholdee N, Panagant N, et al. Multiobjective meta-heuristic with iterative parameter distribution estimation for aeroelastic design of an aircraft wing. Eng Comput. 2020; 1–19.
Pholdee N, Bureerat S. Hybridisation of real-code population-based incremental learning and differential evolution for multiobjective design of trusses. Inf Sci (Ny) 2013; 223: 136–152.
Yang XS, Deb S. Multiobjective cuckoo search for design optimization. Comput Oper Res. 2013; 40: 1616–1624.
Mirjalili SM, Saremi S, Mirjalili SM, et al. Multi-objective grey wolf optimizer: A novel algorithm for multi-criterion optimization. Expert Syst Appl. 2016; 47: 106–119.
Campos Ciro G, Dugardin F, Yalaoui F, et al. A NSGA-II and NSGA-III comparison for solving an open shop scheduling problem with resource constraints. IFAC-PapersOnLine. 2016; 49: 1272–1277.
Zitzler E. Evolutionary algorithms for multiobjective optimization. Shaker. Epub ahead of print 1999.
Inropera FP, DeWitt DP. Introduction to Heat Transfer. 5th ed. 2006.
Pholdee N, Baek HM, Bureerat S, et al. Process optimization of a non-circular drawing sequence based on multi-surrogate assisted meta-heuristic algorithms. J Mech Sci Technol. 2015; 29: 3427–3436.

Published:
License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.