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Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations

Year 2025, Issue: Erken Görünüm - Early Pub Issues, 1 - 11

Abstract

Improving heat transfer is crucial for enhancing energy efficiency and reducing operational costs in thermal systems. This study is motivated by the need to develop compact and cost-effective heat exchangers through the use of passive enhancement techniques. In particular, twisted tape inserts have gained significant attention due to their ability to intensify fluid mixing and disrupt thermal boundary layers. The aim of this study is to numerically investigate the thermal and hydraulic performance of a circular pipe equipped with three types of inserts: plain twisted tape (TT), circular-perforated twisted tape (CPTT), and hexa-perforated twisted tape (HPTT). Using ANSYS Fluent and the finite volume method, simulations were performed under constant heat flux for Reynolds numbers ranging from 5000 to 20000. The results show that all twisted tape configurations considerably improve heat transfer compared to a plain tube, with Nusselt number enhancements of up to 62.37% for TT, 65.85% for CPTT, and 76.27% for HPTT. These enhancements are accompanied by increased friction factors of 150.68%, 154.31%, and 176.05%, respectively. The highest performance evaluation criterion (PEC) of 1.25 was achieved by the CPTT, indicating its optimal thermal-hydraulic balance. The findings of this study are relevant to the design and optimization of heat exchangers in various industrial applications, including solar thermal systems, chemical processing, and HVAC systems.

References

  • Z. Qin, M. Li, J. Flohn, and Y. Hu, “Thermal management materials for energy-efficient and sustainable future buildings,” Chemical Communications, vol. 57, no. 92, pp. 12236-12253, 2021, doi: 10.1039/D1CC05486D.
  • P. Stehlík and V. V. Wadekar, “Different strategies to improve industrial heat exchange,” Heat Transfer Engineering, vol. 23, no. 6, pp. 36-48, 2002, doi: 10.1080/01457630290098673.
  • A. Patel, “Heat exchangers in industrial applications: efficiency and optimization strategies,” International Journal of Engineering Research & Technology (IJERT), vol. 12, 2023, doi: 10.17577/IJERTV12IS090003.
  • S. A. Niknam, M. Mortazavi, and D. Li, “Additively manufactured heat exchangers: a review on opportunities and challenges,” The International Journal of Advanced Manufacturing Technology, vol. 112, pp. 601-618, 2021, doi: 10.1007/s00170-020-06372-w.
  • A. Patel, “Enhancing heat transfer efficiency in solar thermal systems using advanced heat exchangers,” Multidisciplinary International Journal of Research and "Development (MIJRD), vol. 2, no. 06, pp. 31-51, 2023.
  • S. S. Mousavi Ajarostaghi, M. Zaboli, H. Javadi, B. Badenes, and J. F. Urchueguia, “A review of recent passive heat transfer enhancement methods,” Energies, vol. 15, no. 3, p. 986, 2022, doi: 10.3390/en15030986.
  • T. Sonawane, P. Patil, A. Chavhan, and B. M. Dusane, “A review on heat transfer enhancement by passive methods,” International Research Journal of Engineering and Technology, vol. 3, no. 9, pp. 1567-1574, 2016.
  • A. R. Al-Obaidi and A. Sharif, “Investigation of the three-dimensional structure, pressure drop, and heat transfer characteristics of the thermohydraulic flow in a circular pipe with different twisted-tape geometrical configurations,” Journal of Thermal Analysis and Calorimetry, vol. 143, no. 5, pp. 3533-3558, 2021, doi: 10.1007/s10973-019-09244-y.
  • A. S. Yadav, V. Shrivastava, M. K. Dwivedi, and O. P. Shukla, “3-dimensional CFD simulation and correlation development for circular tube equipped with twisted tape,” Materials Today: Proceedings, vol. 47, pp. 2662-2668, 2021, doi: 10.1016/j.matpr.2021.02.549.
  • R. Ali and K. Salim, “A computational study for evaluating the performance of twisted double tube heat exchangers fitted with twisted tape,” CFD Letters, vol. 16, no. 5, pp. 21-36, 2024, doi: 10.37934/cfdl.16.5.2136.
  • S. K. Gugulothu, “Computational fluid dynamics analysis in a ribbed tube with different twisted tape inserts to enhance the heat transfer,” International Journal of Ambient Energy, vol. 43, no. 1, pp. 2061-2070, 2022, doi: 10.1080/01430750.2020.1722224.
  • L. Wang, P. Ni, and G. Xi, “The effect of off-center placement of twisted tape on flow and heat transfer characteristics in a circular tube,” Scientific Reports, vol. 11, no. 1, p. 6844, 2021, doi: 10.1038/s41598-021-86285-0.
  • A. H. Altun, H. Nacak, and E. Canli, “Effects of trapezoidal and twisted trapezoidal tapes on turbulent heat transfer in tubes,” Applied Thermal Engineering, vol. 211, 2022, Art. no. 118386, doi: 10.1016/j.applthermaleng.2022.118386.
  • S. Sontakke, P. Patel, A. Sharma, M. Singh, and B. K. Hardik, “Experimental and numerical investigation of heat transfer enhancement with twisted tape insert,” Heat Transfer Research, vol. 54, no. 14, 2023, doi: 10.1615/HeatTransRes.2023045756.
  • K. S. Mushatet, Q. A. Rishak, and M. H. Fagr, “Experimental and numerical investigation of swirling turbulent flow and heat transfer due to insertion of twisted tapes of new models in a heated tube,” Applied Thermal Engineering, vol. 171, 2020, Art. no. 115070, doi: 10.1016/j.applthermaleng.2020.115070.
  • G. S. Dhumal and S. N. Havaldar, “Enhancing heat transfer performance in a double tube heat exchanger: Experimental study with twisted and helical tapes,” Case Studies in Thermal Engineering, vol. 51, 2023, Art. no. 103613, doi: 10.1016/j.csite.2023.103613.
  • T. Dagdevir, M. Uyanik, and V. Ozceyhan, “The experimental thermal and hydraulic performance analyses for the location of perforations and dimples on the twisted tapes in twisted tape inserted tube,” International Journal of Thermal Sciences, vol. 167, 2021, Art. no. 107033, doi: 10.1016/j.ijthermalsci.2021.107033.
  • S. Zhang, L. Lu, C. Dong, and S. H. Cha, “Thermal characteristics of perforated self-rotating twisted tapes in a double-pipe heat exchanger,” Applied Thermal Engineering, vol. 162, 2019, Art. no. 114296, doi: 10.1016/j.applthermaleng.2019.114296.
  • M. M. K. Bhuiya, A. K. Azad, M. S. U. Chowdhury, and M. Saha, “Heat transfer augmentation in a circular tube with perforated double counter twisted tape inserts,” International Communications in Heat and Mass Transfer, vol. 74, pp. 18-26, 2016, doi: 10.1016/j.icheatmasstransfer.2016.03.001.
  • M. M. K. Bhuiya, M. M. Roshid, M. M. M. Talukder, M. G. Rasul, and P. Das, “Influence of perforated triple twisted tape on thermal performance characteristics of a tube heat exchanger,” Applied Thermal Engineering, vol. 167, 2020, Art. no. 114769, doi: 10.1016/j.applthermaleng.2019.114769.
  • D. Roy, Z. Parvez, M. M. K. Bhuiya, B. Salam, and M. M. Billah, “Experimental investigation of heat transfer enhancement with perforated triangular shape twisted tape insert,” in Proc. 5th Int. Conf. Mechanical Engineering & Renewable Energy (ICMERE 2019), Chattogram, Bangladesh, Dec. 11–13 2019.
  • F. Afsharpanah, K. Pakzad, M. Amirsoleymani, and M. A. Delavar, “Numerical study of heat transfer enhancement using perforated dual twisted tape inserts in converging‐diverging tubes,” Heat Transfer—Asian Research, vol. 47, no. 5, pp. 754-767, 2018, doi: 10.1002/htj.21340.
  • A. Vaisi, R. Moosavi, M. Lashkari, and M. Mohsen Soltani, “Experimental investigation of perforated twisted tapes turbulator on thermal performance in double pipe heat exchangers,” Chemical Engineering and Processing - Process Intensification, vol. 154, 2020, Art. no. 108028, doi: 10.1016/j.cep.2020.108028.
  • S. Bhattacharyya, H. Chattopadhyay, and S. Bandyopadhyay, “Numerical study on heat transfer enhancement through a circular duct fitted with centre-trimmed twisted tape,” International Journal of heat and Technology, vol. 34, no. 3, pp. 401-406, 2016, doi: 10.18280/ijht.340308.
  • T. H. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, “A new k-epsilon eddy viscosity model for high Reynolds number turbulent flows: Model development and validation,” Computers & Fluids, vol. 24, no. 3, pp. 227-238, 1995, doi: 10.1016/0045-7930(94)00032-T.
  • R. L. Webb, “Performance evaluation criteria for use of enhanced heat transfer surfaces in heat exchanger design,” International journal of heat and mass transfer, vol. 24, no. 4, pp. 715-726, 1981, doi: 10.1016/0017-9310(81)90015-6.
  • F. W. Dittus and L. M. K. Boelter, “Heat transfer in automobile radiators of the tubular type,” International communications in heat and mass transfer, vol. 12, no. 1, pp. 3-22, 1985, doi: 10.1016/0735-1933(85)90003-X.
  • S. Ali, J. Faraj, S. Awad, H. S. Ramadan, M. Khaled, and T. Dbouk, “Innovative algorithmic approach of determining the overall heat transfer coefficient of concentric tube heat exchangers,” International Communications in Heat and Mass Transfer, vol. 148, 2023, Art. no. 107077, doi: 10.1016/j.icheatmasstransfer.2023.107077.
  • A. V. Minakov, D. V. Guzei, M. I. Pryazhnikov, V. A. Zhigarev, and V. Y. Rudyak, “Study of turbulent heat transfer of the nanofluids in a cylindrical channel,” International Journal of Heat and Mass Transfer, vol. 102, pp. 745-755, 2016, doi: 10.1016/j.ijheatmasstransfer.2016.06.071.
  • B. S. Petukhov, “Heat transfer and friction in turbulent pipe flow with variable physical properties,” in Advances in heat transfer, vol. 6: Elsevier, pp. 503-564, 1970, doi: 10.1016/S0065-2717(08)70153-9.
  • T. Dagdevir and V. Ozceyhan, “An experimental study on heat transfer enhancement and flow characteristics of a tube with plain, perforated and dimpled twisted tape inserts,” International Journal of Thermal Sciences, vol. 159, 2021, Art. no. 106564, doi: 10.1016/j.ijthermalsci.2020.106564.
  • D. S. Pimoli, P. Tomar, A. Kumar, G. Dwivedi, and A. Shukla, “Experimental Investigation of Friction Factor and Heat Transfer Enhancement Using Circular Perforated Twisted Tape Inserts in Heat Exchangers,” International Journal of Energy for a Clean Environment, vol. 26, pp. 69-84, 2025, doi: 10.1615/InterJEnerCleanEnv.2024053616.
  • S. Ponnada, T. Subrahmanyam, and S. V. Naidu, “A comparative study on the thermal performance of water in a circular tube with twisted tapes, perforated twisted tapes and perforated twisted tapes with alternate axis,” International Journal of Thermal Sciences, vol. 136, pp. 530-538, 2019, doi: 10.1016/j.ijthermalsci.2018.11.008.
  • C. Thianpong, P. Eiamsa-Ard, and S. Eiamsa-Ard, “Heat transfer and thermal performance characteristics of heat exchanger tube fitted with perforated twisted-tapes,” Heat and Mass Transfer, vol. 48, no. 6, pp. 881-892, 2012, doi: 10.1007/s00231-011-0943-0.
  • N. Piriyarungrod, S. Eiamsa-Ard, C. Thianpong, M. Pimsarn, and K. Nanan, “Heat transfer enhancement by tapered twisted tape inserts,” Chemical Engineering and Processing: Process Intensification, vol. 96, pp. 62-71, 2015, doi: 10.1016/j.cep.2015.08.002.
Year 2025, Issue: Erken Görünüm - Early Pub Issues, 1 - 11

Abstract

References

  • Z. Qin, M. Li, J. Flohn, and Y. Hu, “Thermal management materials for energy-efficient and sustainable future buildings,” Chemical Communications, vol. 57, no. 92, pp. 12236-12253, 2021, doi: 10.1039/D1CC05486D.
  • P. Stehlík and V. V. Wadekar, “Different strategies to improve industrial heat exchange,” Heat Transfer Engineering, vol. 23, no. 6, pp. 36-48, 2002, doi: 10.1080/01457630290098673.
  • A. Patel, “Heat exchangers in industrial applications: efficiency and optimization strategies,” International Journal of Engineering Research & Technology (IJERT), vol. 12, 2023, doi: 10.17577/IJERTV12IS090003.
  • S. A. Niknam, M. Mortazavi, and D. Li, “Additively manufactured heat exchangers: a review on opportunities and challenges,” The International Journal of Advanced Manufacturing Technology, vol. 112, pp. 601-618, 2021, doi: 10.1007/s00170-020-06372-w.
  • A. Patel, “Enhancing heat transfer efficiency in solar thermal systems using advanced heat exchangers,” Multidisciplinary International Journal of Research and "Development (MIJRD), vol. 2, no. 06, pp. 31-51, 2023.
  • S. S. Mousavi Ajarostaghi, M. Zaboli, H. Javadi, B. Badenes, and J. F. Urchueguia, “A review of recent passive heat transfer enhancement methods,” Energies, vol. 15, no. 3, p. 986, 2022, doi: 10.3390/en15030986.
  • T. Sonawane, P. Patil, A. Chavhan, and B. M. Dusane, “A review on heat transfer enhancement by passive methods,” International Research Journal of Engineering and Technology, vol. 3, no. 9, pp. 1567-1574, 2016.
  • A. R. Al-Obaidi and A. Sharif, “Investigation of the three-dimensional structure, pressure drop, and heat transfer characteristics of the thermohydraulic flow in a circular pipe with different twisted-tape geometrical configurations,” Journal of Thermal Analysis and Calorimetry, vol. 143, no. 5, pp. 3533-3558, 2021, doi: 10.1007/s10973-019-09244-y.
  • A. S. Yadav, V. Shrivastava, M. K. Dwivedi, and O. P. Shukla, “3-dimensional CFD simulation and correlation development for circular tube equipped with twisted tape,” Materials Today: Proceedings, vol. 47, pp. 2662-2668, 2021, doi: 10.1016/j.matpr.2021.02.549.
  • R. Ali and K. Salim, “A computational study for evaluating the performance of twisted double tube heat exchangers fitted with twisted tape,” CFD Letters, vol. 16, no. 5, pp. 21-36, 2024, doi: 10.37934/cfdl.16.5.2136.
  • S. K. Gugulothu, “Computational fluid dynamics analysis in a ribbed tube with different twisted tape inserts to enhance the heat transfer,” International Journal of Ambient Energy, vol. 43, no. 1, pp. 2061-2070, 2022, doi: 10.1080/01430750.2020.1722224.
  • L. Wang, P. Ni, and G. Xi, “The effect of off-center placement of twisted tape on flow and heat transfer characteristics in a circular tube,” Scientific Reports, vol. 11, no. 1, p. 6844, 2021, doi: 10.1038/s41598-021-86285-0.
  • A. H. Altun, H. Nacak, and E. Canli, “Effects of trapezoidal and twisted trapezoidal tapes on turbulent heat transfer in tubes,” Applied Thermal Engineering, vol. 211, 2022, Art. no. 118386, doi: 10.1016/j.applthermaleng.2022.118386.
  • S. Sontakke, P. Patel, A. Sharma, M. Singh, and B. K. Hardik, “Experimental and numerical investigation of heat transfer enhancement with twisted tape insert,” Heat Transfer Research, vol. 54, no. 14, 2023, doi: 10.1615/HeatTransRes.2023045756.
  • K. S. Mushatet, Q. A. Rishak, and M. H. Fagr, “Experimental and numerical investigation of swirling turbulent flow and heat transfer due to insertion of twisted tapes of new models in a heated tube,” Applied Thermal Engineering, vol. 171, 2020, Art. no. 115070, doi: 10.1016/j.applthermaleng.2020.115070.
  • G. S. Dhumal and S. N. Havaldar, “Enhancing heat transfer performance in a double tube heat exchanger: Experimental study with twisted and helical tapes,” Case Studies in Thermal Engineering, vol. 51, 2023, Art. no. 103613, doi: 10.1016/j.csite.2023.103613.
  • T. Dagdevir, M. Uyanik, and V. Ozceyhan, “The experimental thermal and hydraulic performance analyses for the location of perforations and dimples on the twisted tapes in twisted tape inserted tube,” International Journal of Thermal Sciences, vol. 167, 2021, Art. no. 107033, doi: 10.1016/j.ijthermalsci.2021.107033.
  • S. Zhang, L. Lu, C. Dong, and S. H. Cha, “Thermal characteristics of perforated self-rotating twisted tapes in a double-pipe heat exchanger,” Applied Thermal Engineering, vol. 162, 2019, Art. no. 114296, doi: 10.1016/j.applthermaleng.2019.114296.
  • M. M. K. Bhuiya, A. K. Azad, M. S. U. Chowdhury, and M. Saha, “Heat transfer augmentation in a circular tube with perforated double counter twisted tape inserts,” International Communications in Heat and Mass Transfer, vol. 74, pp. 18-26, 2016, doi: 10.1016/j.icheatmasstransfer.2016.03.001.
  • M. M. K. Bhuiya, M. M. Roshid, M. M. M. Talukder, M. G. Rasul, and P. Das, “Influence of perforated triple twisted tape on thermal performance characteristics of a tube heat exchanger,” Applied Thermal Engineering, vol. 167, 2020, Art. no. 114769, doi: 10.1016/j.applthermaleng.2019.114769.
  • D. Roy, Z. Parvez, M. M. K. Bhuiya, B. Salam, and M. M. Billah, “Experimental investigation of heat transfer enhancement with perforated triangular shape twisted tape insert,” in Proc. 5th Int. Conf. Mechanical Engineering & Renewable Energy (ICMERE 2019), Chattogram, Bangladesh, Dec. 11–13 2019.
  • F. Afsharpanah, K. Pakzad, M. Amirsoleymani, and M. A. Delavar, “Numerical study of heat transfer enhancement using perforated dual twisted tape inserts in converging‐diverging tubes,” Heat Transfer—Asian Research, vol. 47, no. 5, pp. 754-767, 2018, doi: 10.1002/htj.21340.
  • A. Vaisi, R. Moosavi, M. Lashkari, and M. Mohsen Soltani, “Experimental investigation of perforated twisted tapes turbulator on thermal performance in double pipe heat exchangers,” Chemical Engineering and Processing - Process Intensification, vol. 154, 2020, Art. no. 108028, doi: 10.1016/j.cep.2020.108028.
  • S. Bhattacharyya, H. Chattopadhyay, and S. Bandyopadhyay, “Numerical study on heat transfer enhancement through a circular duct fitted with centre-trimmed twisted tape,” International Journal of heat and Technology, vol. 34, no. 3, pp. 401-406, 2016, doi: 10.18280/ijht.340308.
  • T. H. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, “A new k-epsilon eddy viscosity model for high Reynolds number turbulent flows: Model development and validation,” Computers & Fluids, vol. 24, no. 3, pp. 227-238, 1995, doi: 10.1016/0045-7930(94)00032-T.
  • R. L. Webb, “Performance evaluation criteria for use of enhanced heat transfer surfaces in heat exchanger design,” International journal of heat and mass transfer, vol. 24, no. 4, pp. 715-726, 1981, doi: 10.1016/0017-9310(81)90015-6.
  • F. W. Dittus and L. M. K. Boelter, “Heat transfer in automobile radiators of the tubular type,” International communications in heat and mass transfer, vol. 12, no. 1, pp. 3-22, 1985, doi: 10.1016/0735-1933(85)90003-X.
  • S. Ali, J. Faraj, S. Awad, H. S. Ramadan, M. Khaled, and T. Dbouk, “Innovative algorithmic approach of determining the overall heat transfer coefficient of concentric tube heat exchangers,” International Communications in Heat and Mass Transfer, vol. 148, 2023, Art. no. 107077, doi: 10.1016/j.icheatmasstransfer.2023.107077.
  • A. V. Minakov, D. V. Guzei, M. I. Pryazhnikov, V. A. Zhigarev, and V. Y. Rudyak, “Study of turbulent heat transfer of the nanofluids in a cylindrical channel,” International Journal of Heat and Mass Transfer, vol. 102, pp. 745-755, 2016, doi: 10.1016/j.ijheatmasstransfer.2016.06.071.
  • B. S. Petukhov, “Heat transfer and friction in turbulent pipe flow with variable physical properties,” in Advances in heat transfer, vol. 6: Elsevier, pp. 503-564, 1970, doi: 10.1016/S0065-2717(08)70153-9.
  • T. Dagdevir and V. Ozceyhan, “An experimental study on heat transfer enhancement and flow characteristics of a tube with plain, perforated and dimpled twisted tape inserts,” International Journal of Thermal Sciences, vol. 159, 2021, Art. no. 106564, doi: 10.1016/j.ijthermalsci.2020.106564.
  • D. S. Pimoli, P. Tomar, A. Kumar, G. Dwivedi, and A. Shukla, “Experimental Investigation of Friction Factor and Heat Transfer Enhancement Using Circular Perforated Twisted Tape Inserts in Heat Exchangers,” International Journal of Energy for a Clean Environment, vol. 26, pp. 69-84, 2025, doi: 10.1615/InterJEnerCleanEnv.2024053616.
  • S. Ponnada, T. Subrahmanyam, and S. V. Naidu, “A comparative study on the thermal performance of water in a circular tube with twisted tapes, perforated twisted tapes and perforated twisted tapes with alternate axis,” International Journal of Thermal Sciences, vol. 136, pp. 530-538, 2019, doi: 10.1016/j.ijthermalsci.2018.11.008.
  • C. Thianpong, P. Eiamsa-Ard, and S. Eiamsa-Ard, “Heat transfer and thermal performance characteristics of heat exchanger tube fitted with perforated twisted-tapes,” Heat and Mass Transfer, vol. 48, no. 6, pp. 881-892, 2012, doi: 10.1007/s00231-011-0943-0.
  • N. Piriyarungrod, S. Eiamsa-Ard, C. Thianpong, M. Pimsarn, and K. Nanan, “Heat transfer enhancement by tapered twisted tape inserts,” Chemical Engineering and Processing: Process Intensification, vol. 96, pp. 62-71, 2015, doi: 10.1016/j.cep.2015.08.002.
There are 35 citations in total.

Details

Primary Language English
Subjects Energy Systems Engineering (Other)
Journal Section Online First
Authors

Amel Bouregueba 0009-0008-5875-4952

Abdelaziz Begag 0000-0002-0330-2974

Rachid Saim 0000-0002-7509-6612

Mohammed Abdelbassit Kherrafi 0009-0004-7838-7732

Early Pub Date August 1, 2025
Publication Date
Submission Date March 8, 2025
Acceptance Date July 16, 2025
Published in Issue Year 2025 Issue: Erken Görünüm - Early Pub Issues

Cite

APA Bouregueba, A., Begag, A., Saim, R., Kherrafi, M. A. (2025). Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations. International Journal of Thermodynamics(Erken Görünüm - Early Pub Issues), 1-11.
AMA Bouregueba A, Begag A, Saim R, Kherrafi MA. Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations. International Journal of Thermodynamics. August 2025;(Erken Görünüm - Early Pub Issues):1-11.
Chicago Bouregueba, Amel, Abdelaziz Begag, Rachid Saim, and Mohammed Abdelbassit Kherrafi. “Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes With Circular and Hexagonal Perforations”. International Journal of Thermodynamics, no. Erken Görünüm - Early Pub Issues (August 2025): 1-11.
EndNote Bouregueba A, Begag A, Saim R, Kherrafi MA (August 1, 2025) Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations. International Journal of Thermodynamics Erken Görünüm - Early Pub Issues 1–11.
IEEE A. Bouregueba, A. Begag, R. Saim, and M. A. Kherrafi, “Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations”, International Journal of Thermodynamics, no. Erken Görünüm - Early Pub Issues, pp. 1–11, August 2025.
ISNAD Bouregueba, Amel et al. “Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes With Circular and Hexagonal Perforations”. International Journal of Thermodynamics Erken Görünüm - Early Pub Issues (August 2025), 1-11.
JAMA Bouregueba A, Begag A, Saim R, Kherrafi MA. Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations. International Journal of Thermodynamics. 2025;:1–11.
MLA Bouregueba, Amel et al. “Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes With Circular and Hexagonal Perforations”. International Journal of Thermodynamics, no. Erken Görünüm - Early Pub Issues, 2025, pp. 1-11.
Vancouver Bouregueba A, Begag A, Saim R, Kherrafi MA. Heat Transfer Enhancement in a Heat Exchanger Tube Using Twisted Tapes with Circular and Hexagonal Perforations. International Journal of Thermodynamics. 2025(Erken Görünüm - Early Pub Issues):1-11.