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<p>The novelty of this work lies in the analysis of dovetail, rectangular, and trapezoidal porous fins under dehumidification conditions using the differential transformation method (DTM), where condensation effects and latent heat release are explicitly incorporated to capture realistic thermal behaviour. In this study, the thermal performance and efficiency of aluminium and copper fins with these profiles are investigated by formulating the governing nonlinear ordinary differential equation incorporating Darcy’s law for porous media. The equation is solved analytically using DTM to obtain accurate solutions for temperature distribution and efficiency variations across different fin geometries and materials. The results reveal that fin with a higher taper ratio exhibit reduced temperature and efficiency due to increased thermal resistance and limited conduction at the base, while higher relative humidity decreases the performance as excess surface moisture suppresses the driving gradient for condensation-induced latent heat release. Among the profiles, the dovetail fin demonstrates good performance owing to its larger effective surface area and improved heat retention, the trapezoidal fin exhibits the lowest performance due to higher thermal resistance, and the rectangular fin displays intermediate characteristics. Copper fin with superior thermal conductivity enhances heat retention and efficiency, while aluminium fin offers advantages in lightweight design and corrosion resistance. These findings highlight the combined role of geometry, material, and dehumidification in governing fin performance and provide practical guidelines for designing efficient heat exchangers and thermal management systems.</p>

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Study on heat and mass transfer in longitudinal metallic fins of different profiles under dehumidification conditions: a differential transformation method approach

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Poojar Lokeshwarappa Pavan Kumar,
  • Bijjanal Jayanna Gireesha,
  • Puttaswamy Venkatesh,
  • Maasthi Lohitkumar Keerthi

摘要

The novelty of this work lies in the analysis of dovetail, rectangular, and trapezoidal porous fins under dehumidification conditions using the differential transformation method (DTM), where condensation effects and latent heat release are explicitly incorporated to capture realistic thermal behaviour. In this study, the thermal performance and efficiency of aluminium and copper fins with these profiles are investigated by formulating the governing nonlinear ordinary differential equation incorporating Darcy’s law for porous media. The equation is solved analytically using DTM to obtain accurate solutions for temperature distribution and efficiency variations across different fin geometries and materials. The results reveal that fin with a higher taper ratio exhibit reduced temperature and efficiency due to increased thermal resistance and limited conduction at the base, while higher relative humidity decreases the performance as excess surface moisture suppresses the driving gradient for condensation-induced latent heat release. Among the profiles, the dovetail fin demonstrates good performance owing to its larger effective surface area and improved heat retention, the trapezoidal fin exhibits the lowest performance due to higher thermal resistance, and the rectangular fin displays intermediate characteristics. Copper fin with superior thermal conductivity enhances heat retention and efficiency, while aluminium fin offers advantages in lightweight design and corrosion resistance. These findings highlight the combined role of geometry, material, and dehumidification in governing fin performance and provide practical guidelines for designing efficient heat exchangers and thermal management systems.