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<p>Constructal theory can provide insights into how to design HXs for maximum efficiency. In this study, numerical analysis is performed to study the thermal and hydraulic performance of tree-shaped tube configurations (TSTC) and compare it with helical configuration (HTC) in a helical tube HX. The thermal performance parameters such as overall heat transfer coefficient (U) and exergy efficiency are studied whereas hydraulic parameter such as pressure drop (∆P) is investigated where the Reynolds number (Re) changed from 6720 to 10,320. To express the relation between the thermal and hydraulic parameters, the coefficient of performance (COP) is illustrated. The distributions of temperatures, pressures, and velocities of hot and cold water for TSTC and HTC are examined. The numerical model is validated and compared with previous experimental results, and the error percentages are acceptable. The TSTC enhances heat transfer in HXs with a U enhancement ratio of approximately 232% when compared to traditional HTC. TSTC is more efficient than HTC at reducing pumping powers, with a pressure decrease ratio of about 49%. The tree-shaped tubes outperform the helical tube exchanger because the values of COP for the TSTC are greater than those for HTC at the same range of Re numbers. The exergy efficiency rises as the Re number rises, with TSTC having the maximum exergy efficiency. Temperature contours demonstrate that in the TSTC, more heat is transferred from the hot water to the cold water because there are more passes through the tree-shaped tubes. The advantage of the TSTC over the conventional helical form for velocity destitution is explained by velocity contours and streamlines.</p>

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Performance enhancement of helical tube heat exchangers based on constructal theory

  • 期刊论文

  • 发表日期：

    2025年5月27日

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  • S. A. Marzouk,
  • M. M. Abou Al-Sood,
  • Emad M. S. El-Said,
  • M. M. Younes,
  • Magda K. El-Fakharany

摘要

Constructal theory can provide insights into how to design HXs for maximum efficiency. In this study, numerical analysis is performed to study the thermal and hydraulic performance of tree-shaped tube configurations (TSTC) and compare it with helical configuration (HTC) in a helical tube HX. The thermal performance parameters such as overall heat transfer coefficient (U) and exergy efficiency are studied whereas hydraulic parameter such as pressure drop (∆P) is investigated where the Reynolds number (Re) changed from 6720 to 10,320. To express the relation between the thermal and hydraulic parameters, the coefficient of performance (COP) is illustrated. The distributions of temperatures, pressures, and velocities of hot and cold water for TSTC and HTC are examined. The numerical model is validated and compared with previous experimental results, and the error percentages are acceptable. The TSTC enhances heat transfer in HXs with a U enhancement ratio of approximately 232% when compared to traditional HTC. TSTC is more efficient than HTC at reducing pumping powers, with a pressure decrease ratio of about 49%. The tree-shaped tubes outperform the helical tube exchanger because the values of COP for the TSTC are greater than those for HTC at the same range of Re numbers. The exergy efficiency rises as the Re number rises, with TSTC having the maximum exergy efficiency. Temperature contours demonstrate that in the TSTC, more heat is transferred from the hot water to the cold water because there are more passes through the tree-shaped tubes. The advantage of the TSTC over the conventional helical form for velocity destitution is explained by velocity contours and streamlines.