https://orcid.org/0000-0003-2800-6853
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ABSTRACT
In pursuit of optimizing the thermo-hydraulic behavior of a heat exchanger, this study employs twisted tape inserts, a well-known method for enhancing heat transfer rates in heat exchange devices compared to plain tubes. Experiments involving v-cut twisted tapes with v-angles of 15°, 30°, and 45° in both axial and radial directions were conducted within a double pipe heat exchanger, encompassing a Reynolds number range from 5500 to 10,000, with water as the flowing medium. As part of the modeling approach, response surface methodology (RSM) was harnessed to construct mathematical models for the heat transfer rate, quantified as the Nusselt number, and the friction factor. This modeling accounted for independent variables including Reynolds number, Prandtl number, axial angle, and radial angle. The RSM models demonstrated high statistical significance and reliability, yielding an R-squared value exceeding 97%, with the linear terms of Reynolds number and cut angles identified as the most influential factors. To attain optimization, a multi-objective approach was adopted, employing the NSGA-II algorithm. This algorithm efficiently explored the design parameter space, seeking the optimal combination that maximizes heat transfer rate and minimizes the friction factor simultaneously. Quantitative results from the experimentation revealed that, at a Reynolds number of 10,000, the Nusselt number achieved its peak value of 96.51. Conversely, the highest friction factor (0.0582) and performance evaluation criteria (PEC) of 1.65 emerged at a Reynolds number of 5500, specifically when employing a 45-degree radial v-cut angle. Notably, this configuration led to substantial enhancements: the Nusselt number increased by 98.7%, the friction factor by 38.9%, and the PEC by 39.4% compared to a plain tube. These findings underscore both the effectiveness of the NSGA-II algorithm in optimizing heat exchanger designs and the valuable insights gained into the influence of twisted tape insert parameters on heat transfer performance and hydraulic behavior. The optimized design parameters obtained through this study hold significant potential for enhancing heat transfer efficiency across diverse industrial applications. Overall, this research advances heat exchanger optimization techniques and provides a framework for further investigations in this field.
Nomenclature
| f | = | Friction factor |
| n | = | Sample size |
| Nu | = | Nusselt number |
| p | = | Number of regression coefficients |
| Pr | = | Prandtl number |
| R2 | = | Coefficient of determination |
| RSM | = | Response Surface Methodology |
| x | = | Independent variables |
| y | = | Dependent variable |
| Greek symbols | = | |
| β | = | Regression model coefficients |
| ε | = | Model error |
| θ | = | V-cut angle in axial direction |
| ϕ | = | V-cut angle in radial direction |
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Sanjay Kumar Singh
Dr. Sanjay Kumar singh has twenty years of teaching experience in various reputed AICTE approved colleges and during this period he has guided more than forty MTech projects in the field of Thermal Engineering. He is a lifetime member of ISTE and member of SAE, India. He has published more than twenty papers in SCI/SCOPUS indexed journals and also participated in various international/national conferences. He obtained his M Tech and Ph.D from Department of Mechanical Engineering, MANIT, Bhopal, and bachelor degree in Mechanical Engineering from The Institution of Engineers India. Currently he is working as an Professor in Sagar Institute of Science and Technology, BhopaL, M.P., India.
Ruchin Kacker
Dr. Ruchin Kacker is B.E. (in Mechanical) from Government Engineering College, Bilaspur and M. Tech (in Product Design & Engineering) from Barkatullah University, Bhopal. He obtained his Ph.D. from Department of Industrial & Production Engineering, NIT Jalandhar, Punjab. He has published more than 15 papers/Book chapters in highly reputed journals. He has guided 10 M. Tech dissertations and his Areas of Interest are Heat transfer, Solid Mechanics, Fracture, Additive Manufacturing, and Optimization Techniques. He has more than 15 years of teaching experience. Currently he is working as an Associate Professor in Sagar Institute of Science and Technology, Bhopal, M.P., India
Satyam Shivam Gautam
Prof. Satyam Shivam Gautam is working as a Professor in Department of Mechanical Engineering, North Eastern Regional Institute of Science and Technology (NERIST), Nirjuli, Arunachal Pradesh, India. He is having 17 years of teaching & research experience. He has published more than 70 research papers, peer reviewed journals/book chapters/conference proceedings. He has guided 2 PhD scholars and two are currently under his guidance. His research interests include Tribology of Bearings, Materials.
Santosh Kumar Tamang
Dr. Santosh Kumar Tamang working as Assistant Professor in Department of Mechanical Engineering, North Eastern Regional Institute of Science and Technology (NERIST), Nirjuli, Arunachal Pradesh, India. He is having 9 years of teaching & research experience. He has published more than 50 research papers, in peer reviewed journals/ book chapters/ conference proceedings. He has guided more than 15 UG/PG Projects and at present 3 PhD scholars are working under his guidance. His research interests include laser-based manufacturing processes, machining technologies, molecular dynamics simulations, Machine Learning and optimization and soft computing.