Multi-Objective Optimization of Plate Heat Exchangers by Employing an Imperialist Competitive Algorithm

Subject Areas : artificial intelligence

Mohammadjavad Mahmoodabadi ¹ , Soodeh Zarnegar ²

1 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
2 - Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran

Received: 2022-01-06 Accepted : 2022-04-23 Published : 2023-03-01

Keywords: Thermal efficiency, Imperialist Competitive Algorithm, Plate fin heat exchanger, Multi-Objective Optimization, Consumption cost,

Abstract :

In this paper, the multi-objective optimum design of plate fin heat exchangers is investigated. To this end, the efficiency and cost as two important factors for the design of heat exchangers are regarded as the objective functions. Fin pitch, fin height, fin offset length, cold stream flow length, no-flow length and hot stream flow length are considered as six design parameters. The ε-NTU method is applied to estimate the heat exchanger pressure drop and its effectiveness. A case study related to a gas furnace in Barez tire group located in the northwest of Kerman, Iran is considered for the constant parameters. The Imperialist Competitive Algorithm (ICA) is used to find the optimal design parameters to achieve the maximum thermal efficiency and minimum consumption cost. The method of the weighting coefficients is applied to change the considered multi-objective optimization problem as a single objective one. Furthermore, the effects of variations of the design parameters on the objective functions are independently investigated, and the related graphs are presented.

References:

• Xu, P., Lei, G., Xu, Y., Wen, J., Wang, S., and Li, Y., Study on Continuous Cooling Process Coupled with Ortho-Para Hydrogen Conversion in Plate-Fin Heat Exchanger Filled with Catalyst, International Journal of Hydrogen Energy, Vol. 11, No. 074, 2021, DOI: 1016/j.ijhydene.2021.11.074.


• Wen, J., Li, C., Hao, H., Zhao, X., Lei, G., Wang, S., and Li, Y., Numerical Investigation on Fin Configuration Improvement of 2 K Sub-Atmospheric Plate-Fin Heat Exchangers for The Superfluid Helium Cryogenic Systems, Applied Thermal Engineering, Vol. 196, 2021, DOI:1016/j.applthermaleng.2021.117290 .


• Kota, D., NorihiroInoue, S., Evaporation Heat Transfer and Flow Characteristics of Vertical Upward Flow in A Plate-Fin Heat Exchanger, International Journal of Refrigeration, Vol. 133, 2022, pp. 165-171, DOI: 1016/j.ijrefrig.2021.09.030.


• Haider, P., Freko, P., Acher, T., Rehfeldt, S., and Klein, H., Influence of Inlet Configuration and Distributor Geometry on The Performance of Cryogenic Plate-Fin Heat Exchangers, Applied Thermal Engineering, Vol. 195, 2021, DOI:1016/j.applthermaleng.2021.117197.


• Xu, P., We, J., Zhao, X., Hao, H, Wang, S., and Li, Y., Numerical Investigation on Serrated Fin of Sub-Atmosphere Plate-Fin Heat Exchanger Used in Superfluid Helium System, Cryogenics, Vol. 119, 2021, DOI: 1016/j.cryogenics.2021.103351.


• Lian, J., Xu, D., Chang, H., Xu, Z., Lu, X., Wang, Q., and Ma, T., Thermal and Mechanical Performance of A Hybrid Printed Circuit Heat Exchanger Used for Supercritical Carbon Dioxide Brayton Cycle, Energy Conversion and Management, Vol. 245, 2021, DOI: 1016/j.enconman.2021.114573.


• Niroomand, R., Saidi, M. H., and Hannani, S. K., A New Multiscale Modeling Framework for Investigating Thermally-Induced Flow Maldistribution in Multi-Stream Plate-Fin Heat Exchangers, International Journal of Heat and Mass Transfer, Vol. 180, 2021, DOI:1016/j.ijheatmasstransfer.2021.121779.


• Hu, H., Li, J., Experimental Investigation on Heat Transfer Characteristics of Two-Phase Flow Boiling in Offset Strip Fin Channels of Plate-Fin Heat Exchangers, Applied Thermal Engineering, Vol. 185, 2021, DOI: 1016/j.applthermaleng.2020.116404.


• Kedam, N., Dmitry, U., Evgeniy, A., Gorshkalev, V., and Alexey, A., Heat Transfer Factor J and Friction Factor F Correlations for Offset Strip Fin and Wavy Fin of Compact Plate-Fin Heat-Exchangers, Case Studies in Thermal Engineering, Vol. 28, 2021, DOI: 1016/j.csite.2021.101552.


• Haider, P., Freko, P., Acher, T., Rehfeldt, S., and Klein, H., A Transient Three-Dimensional Model for Thermo-Fluid Simulation of Cryogenic Plate-Fin Heat Exchangers, Applied Thermal Engineering, Vol. 180, 2020, DOI: 1016/j.applthermaleng.2020.115791.


• Kays, W., London, A., Compact Heat Exchangers, 3rd ed. New York: McGraw Hill, 1984.


• Guo, L., Qin, F., Chen, J., and Chen, Z., Lubricant Side Thermal–Hydraulic Characteristics of Steel Offset Strip Fins with Different Flow Angles, Applied Thermal Engineering, Vol. 28, 2008, pp. 907–14, DOI: 1016/j.applthermaleng.2007.07.005.


• Lihua, G., Jiangping, C., Feng, Q., and Zhijiu, C., Geometrical Optimization and Mould Wear Effect on HPD Type Steel Offset Strip Fin Performance, Energy Convers Manage, Vol. 48, 2007, pp. 2473-2480, DOI:1016/j.enconman.2007.04.003.


• Hang, P., Zhao, L., Liu, G., Optimal Design of Heat Exchanger Network Considering the Fouling Throughout the Operating Cycle, Energy, Vol. 241, 2022, DOI:1016/j.energy.2021.122913.


• Abolpour, B., Hekmatkhah, R., and Shamsoddini, R., Multi-Objective Optimum Design for Double Baffle Heat Exchangers, Thermal Science and Engineering Progress, Vol. 26, 2021, DOI: 1016/j.tsep.2021.101132.


• Wang, G., Liu, A., Dbouk, T., Wang, D., Peng, X., and Ali, A., Optimal Shape Design and Performance Investigation of Helically Coiled Tube Heat Exchanger Applying MO-SHERPA, International Journal of Heat and Mass Transfer, 2021, DOI: 1016/j.ijheatmasstransfer.2021.122256.


• Sim, J., Lee, H., and Jeong, J. H., Optimal Design of Variable-Path Heat Exchanger for Energy Efficiency Improvement of Air-Source Heat Pump System, Applied Energy, Vol. 290, 2021, DOI: 1016/j.apenergy.2021.116741.


• Pan, C., Vermaak, N., Wang, X., Romero, C., and Neti, S., A Fast Reduced Model for A Shell-And-Tube Based Latent Heat Thermal Energy Storage Heat Exchanger and Its Application for Cost Optimal Design by Nonlinear Programming, International Journal of Heat and Mass Transfer, Vol. 176, 2021, DOI:.1016/j.ijheatmasstransfer.2021.121479.


• Prakash, H., Gnanase, J., karan, N., Optimum Design of Heat Exchanging Device for Efficient Heat Absorption Using High Porosity Metal Foams, International Communications in Heat and Mass Transfer, Vol. 126, 2021, DOI:1016/j.icheatmasstransfer.2021.105475.


• Bohacek, J., Raudensky, M., Astrouski, I., and Karimi-Sibaki, E., An Optimal Design for Hollow Fiber Heat Exchanger: A Combined Numerical and Experimental Investigation, Energy, Vol. 229, 2021, DOI:1016/j.energy.2021.120571.


• Hafizan, A. M., Alwi, S. R. W., Manan, Z. A., Klemeš, J. J., and Hamid, M .K. A., Design of Optimal Heat Exchanger Network with Fluctuation Probability Using Break-Even Analysis, Energy, Vol. 212, 2020, DOI:1016/j.energy.2020.118583.


• Kumar, S., Maithani, R., and Kumar, A., Optimal Design Parameter Selection for Performance of Alumina Nano-Material Particles and Turbulence Promotors in Heat Exchanger: An AHP-TOPSIS Technique, Materialstody: Proceedings, Vol. 43, 2021, pp. 3152-3155, DOI:1016/j.matpr.2021.01.654.


• Allahyarzadeh-Bidgoli, A., Dezan, D. J., and Yanagihara, J. I., COP Optimization of Propane Pre-Cooling Cycle by Optimal Fin Design of Heat Exchangers: Efficiency and Sustainability Improvement, Journal of Cleaner Production, Vol. 271, 2020, DOI: 1016/j.jclepro.2020.122585.


• Franco, A., Giannini, N., Optimum Thermal Design of Modular Compact Heat Exchangers Structure for Heat Recovery Steam Generators, Applied Thermal Engineering, Vol. 25, 2005, pp.1293-1313, DOI: 1016/j.applthermaleng.2004.08.018.


• Smith, E. M., Advances in Thermal Design of Heat Exchangers, John Wiley and Sons, Ltd. 2005.


• Xie, G. N., Sunden, B., and Wang, Q. W., Optimization of Compact Heat Exchangers by A Genetic Algorithm, Applied Thermal Engineering, Vol. 28, 2008, pp. 895-906, DOI: 1016/j.applthermaleng.2007.07.008.


• Atashpaz-Gargari, E., Lucas, C., Imperialist Competitive Algorithm: An algorithm for Optimization Inspired by Imperialistic Competition, IEEE Congress on Evolutionary Computation, 2007, DOI: 1109/CEC.2007.4425083.


• Nazari-Shirkouhi, S., Eivazy, H., Ghodsi, R., Rezaie, K., and Atashpaz-Gargari, E., Solving the Integrated Product Mix-Outsourcing Problem by a Novel Meta-Heuristic Algorithm: Imperialist Competitive Algorithm, Expert Systems with Applications, Vol. 37, 2010, pp. 7615-7626, DOI: 1016/j.eswa.2010.04.081.


• Rabiee, A., Sadeghi, M., and Aghaei, J., Modified Imperialist Competitive Algorithm for Environmental Constrained Energy Management of Microgrids, Journal of Cleaner Production, Vol. 202, 2018, pp. 273-292, DOI: 1016/j.jclepro.2018.08.129.


• Kasaei, M. J., Energy and Operational Management of Virtual Power Plant Using Imperialist Competitive Algorithm, Electrical Energy System, Vol. 28, 2018, DOI: 1002/etep.2617.


• Khanali, M., Akram, A., Behzadi, J., Mostashari-Rad, F., Saber, Z., Chau, K., and Nabavi-Pelesaraei, A., Multi-Objective Optimization of Energy Use and Environmental Emissions for Walnut Production Using Imperialist Competitive Algorithm, Applied Energy, Vol. 284, 2021, DOI: 1016/j.apenergy.2020.116342


• Nourianfar, H., Abdi, H., The Application of Imperialist Competitive Algorithm to the Combined Heat and Power Economic Dispatch Problem, Energy Management and Technology, Vol. 2, 2018,  5pp. 9-69, DOI:22109/JEMT.2018.141453.1111.


• Arora, J. S., Introduction to Optimum Design, Elsevier Inc, Academic Press, 2017, ISBN 978-0-12-800806-5.