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Prediction of optimum design variables for maximum heat transfer through a rectangular porous fin using particle swarm optimization

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Abstract

The current study deals with the optimization of significant variables which govern the heat transfer from a porous fin in convective medium using particle swarm optimization (PSO). The temperature distribution of the fin is obtained analytically by a perturbation technique called homotopy perturbation method (HPM). To validate the temperature distribution obtained by HPM, finite difference method is employed. Next a significance analysis has been carried out to identify important variables that play a vital role in transferring heat from the porous fin. The set of variables thus obtained was then optimized by PSO to enhance the heat transfer rate. Reflective boundary condition is incorporated in the PSO to prevent particles from wandering in the infeasible region. The convergence plots of the variables show the effectiveness of PSO in solving non linear problems of this magnitude which are often encountered in the analysis of heat transfer through porous fins.

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Correspondence to Dipankar Bhanja.

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Recommended by Associate Editor Ji Hwan Jeong

Tuhin Deshamukhya received B.E. in the year 2010 from Sathyabama University and M. Tech in the year 2012 from the National Institute of Technology, Silchar. Currently he is a research scholar in NIT Silchar and his research area includes Application of metaheuristic optimization in porous fins.

Dipankar Bhanja is an Assistant Professor in the Department of Mechanical Engineering in National Institute of Technology Silchar, Assam. His research areas are CFD, Heat Transfer, Constructal theory, Solar energy, Optimization etc. He is the author of more than 20 technical papers published in referred international journals. He is a reviewer of more than 16 International Journals of repute.

Sujit Nath received his Ph.D. degree from Jadavpur University, Kolkata, India. Presently he is an Assistant Professor in the Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India. His research areas are CFD, Heat Transfer, Atomization, Solar energy, Optimization etc. He is a reviewer in many international journals of repute and also published many technical papers in referred International journals.

Saheera Azmi Hazarika graduated in Mechanical Engineering from Assam Engineering College, Assam, India. She obtained her M. Tech. in Thermal Engineering from National Institute of Technology Silchar, India. Presently she is a research scholar in the Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India. Her research areas are simultaneous heat and mass transfer, Constructal theory and optimization.

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Deshamukhya, T., Bhanja, D., Nath, S. et al. Prediction of optimum design variables for maximum heat transfer through a rectangular porous fin using particle swarm optimization. J Mech Sci Technol 32, 4495–4502 (2018). https://doi.org/10.1007/s12206-018-0846-9

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  • DOI: https://doi.org/10.1007/s12206-018-0846-9

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