Spiral Heat Exchanger’s Mathematical Modelling and Optimization using Multipurpose Genetic Algorithm

Document Type : Research Article

Authors

1 Department of Chemical Engineering,Yazd Branch, Islamic Azad University, Yazd, Iran

2 Department of Mechanical Engineering, University of Hormozgan, Bandar Abbas, Iran

Abstract

This study presents a novel approach to optimize the thermal design of spiral plate heat exchangers (SPHEs) through a multi-objective genetic algorithm (GA) using MATLAB programming. SPHEs, known for their low fouling and ease of
descaling, often outperform conventional heat exchangers for fouling-causing processes. The scientific innovation of this work includes using GA to simultaneously optimize the construction cost and pressure drop while increasing the thermal efficiency by fine-tuning key geometric parameters, including channel spacing and width, hydraulic diameter, and outer diameter. For this purpose, a robust numerical model relying on energy balance equations was introduced to accurately predict the temperature distribution and calculate the total convective heat transfer coefficient (HTC) and logarithmic mean temperature difference (LMTD). The GA-based optimization resulted in a 60% increase in HTC and a 50% reduction in total costs compared to the baseline design. The results confirm the effectiveness of the multi-objective GA method
as a powerful optimization tool, indicating strong agreement between the optimized calculations and the SPHE design formulas. This dual improvement in thermal efficiency and cost reduction highlights the practical and economic
importance of the proposed method for industrial-scale heat exchanger applications.

Keywords


[1] Sabouri Shirazi, A. H., Jafari Nasr, M. R., Ghodrat, M., 2020. Effects of Temperature Differences in Optimization of Spiral Plate Heat Exchangers. Process Integration and Optimization for Sustainability, 4, 391–408. https://doi.org/10.1007/s41660-020-00128-5
[2] Pradeep Mohan Kumar, K., Vijayan, V., Suresh Kumar, B., Vivek, C. M., Dinesh, S., 2018. Computational Analysis and Optimization of Spiral Plate Heat Exchanger. Journal of Applied Fluid Mechanics, 11 (Special Issue), 121–128. https://doi.org/10.36884/jafm.11.SI.29428
[3] Azad, A. V., Amidpour, M., 2011. Economic Optimization of Shell and Tube Heat Exchanger Based on Constructal Theory. Energy, 36 (2), 1087–1096. https://doi.org/10.1016/j.energy.2010.11.041
[4] Moretta, A. A., 2010. Spiral Plate Heat Exchangers: Sizing Units for Cooling Non-Newtonian Slurries. Chemical Engineering, 117 (5), 44–49.
[5] Picón Núñez, M., Canizalez-Dávalos, G., Martínez-Rodríguez, G., Polley, G., 2007. Shortcut Design Approach for Spiral Heat Exchangers. Food and Bioproducts Processing, 85 (4), 322–327. https://doi.org/10.1205/fbp07040
[6] Kondahkar, G. E., Kapatkat, V. N., 2012. Performance Analysis of Spiral Tube Heat Exchanger Used in Oil Extraction System. International Journal of Modern Engineering Research, 2, 930–936.
[7] Naphon, P., 2007. Thermal Performance and Pressure Drop of the Helical-Coil Heat Exchangers with and without Helically Crimped Fins. International Communications in Heat and Mass Transfer, 34 (3), 321–330. https://doi.org/10.1016/j.icheatmasstransfer.2006.11.002
[8] Egner, M. W., Burmeister, L. C., 2005. Heat Transfer for Laminar Flow in Spiral Ducts of Rectangular Cross Section. Journal of Heat Transfer, 127 (3), 352–356. https://doi.org/10.1115/1.1834624
[9] Burmeister, L. C., 2006. Effectiveness of a Spiral-Plate Heat Exchanger with Equal Capacitance Rates. Journal of Heat Transfer, 128 (3), 295–301. https://doi.org/10.1115/1.2150839
[10] Rao, K. R., 2016. Optimal Synthesis of Shell and Tube Heat Exchangers. Ph.D. Thesis, Indian Institute of Science, Bangalore, India.
[11] Martin, H., 1992. Heat Exchangers. Hemisphere Publishing Corporation, pp.73–82.
[12] Ghodrati, M., Khorshidi, J., 2020. New Experimental Nusselt Number Correlation for Spiral Plate Heat Exchanger Optimized Using a Code. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 235 (5), 1142–1151. https://doi.org/10.1177/0957650920948296
[13] Wu, D., 2003. Geometrical Calculations for Spiral Heat Exchangers. Chemical Engineering & Technology, 26 (5), 592–598. https://doi.org/10.1002/ceat.200390091
[14] Fan, Y., Luo, L., Flamant, G., 2013. Design of Compact Heat Exchangers for Transfer Intensification. In: Heat and Mass Transfer Intensification and Shape Optimization, pp. 81–111. https://doi.org/10.1007/978-1-4471-4742-8_4
[15] Minton, P. E., 1970. Designing Spiral Heat Exchangers. Chemical Engineering, May (4), 103–112.
[16] Bes, T., 2001. Thermal Design of Spiral Heat Exchanger. International Journal of Heat Exchangers, 2.
[17] Bes, T., Poetzel, W., 1992. Distribution of Heat Flux Density in Spiral Heat Exchangers. International Journal of Heat and Mass Transfer, 35 (6), 1331–1347. https://doi.org/10.1016/0017-9310(92)90027-5
[18] Bes, T., Roetzel, W., 1998. Effectiveness of Spiral Heat Exchanger with Variable Overall Heat Transfer Coefficient. 7th International Symposium on Heat Exchange and Renewable Energy Sources.
[19] Bes, T., Rotzel, N., 1993. Thermal Theory of the Spiral Heat Exchanger. International Journal of Heat and Mass Transfer, 36 (3), 765–773. https://doi.org/10.1016/0017-9310(93)80043-2
[20] Červenka, B., Holubčík, M., Drga, J., Malcho, M., 2022. Modular Spiral Heat Exchanger Thermal Modelling. Energies, 12 (12), 5805. https://doi.org/10.3390/en12115805
[21] Jiang, H., Jiang, T., Tian, H., Wu, Q., Deng, C., Zhang, R., 2024. Heat Transfer Simulation and Structural Optimization of Spiral Heat Exchangers. Electronics, 13(23), 4639. https://doi.org/10.3390/electronics13234639
[22] Bidabadi, M., Sadaghiani, A.K., Vahdat Azad, A., 2013. Spiral Heat Exchanger Optimization Using Genetic Algorithm. Scientia Iranica, Transactions on Mechanical Engineering (B), 20(5), 1445-1454.
[23] Bidabadi, M., Sadighi Dizaji, H., & Ghasemiasl, R., 2020. A comprehensive analysis for second law attributes of spiral heat exchangers. Applied Thermal Engineering, 174, 115273. https://doi.org/10.1016/j.applthermaleng.2020.115273
[24] Rubenstein, D. A., Frame, M. D., 2022. Mass Transport and Heat Transfer in the Microcirculation. In: Biofluid Mechanics Book (3rd Edition), pp. 331–374.
[25] Anup Kumar, T., Sharma, N., Mohammad, M. N., Pradeep, B. T., Saichand, U., Vamsi, N. M., 2019. Optimization of Spiral Plate Heat Exchanger by Gradient Based Optimizer. International Journal of Innovative Technology and Exploring Engineering (IJITEE), 8 (6), 2278–3075.
[26] Patel, A., Boersma, B. J., Pecnik, R., 2016. The Influence of Near-wall Density and Viscosity Gradients on Turbulence in Channel Flows. Journal of Fluid Mechanics, 809, 793–820. https://doi.org/10.1017/jfm.2016.662
[27] Chowdhury, K., Linkmeyer, M., Bassiouny, K., 1990. Analytical Studies on the Temperature Distribution in Spiral Plate Heat Exchangers: Straightforward Design Formulae for Efficiency and Mean Temperature Difference. Chemical Engineering and Processing, 19, 183–190. https://doi.org/10.1016/0255-2701(84)80020-3
[28] Canizalez Dávalos, L., Murrieta Luna, E., Rodríguez Ángeles, M. A., Cruz Delgado, V. J., 2019. Designing Spiral Plate Heat Exchangers to Extend Its Service and Enhance the Thermal and Hydraulic Performance. In: Low-temperature Technologies Book, Edited Volume. https://doi.org/10.5772/intechopen.85345
[29] Zhao, C., Liu, B., Piao, S., Wang, X., et al., 2017. Temperature Increase Reduces Global Yields of Major Crops in Four Independent Estimates. Proceedings of the National Academy of Sciences of the United States of America, 114 (35), 9326–9331. https://doi.org/10.1073/pnas.1701762114
[30] Zhang, X., Wang, L., Zhang, Y., 2021. Performance Optimization of the Helical Heat Exchanger with Fin. Frontiers in Energy Research, 9, 789316. https://doi.org/10.3389/fenrg.2021.789316