Analytical Study on Heat Transfer Behavior of an Orthotropic Pin Fin with Contact Resistance

  • M. A. VadiveluEmail author
  • C. Ramesh Kumar
  • M. M. Rashidi
Conference paper
Part of the Trends in Mathematics book series (TM)


In this paper, analytical solutions for dimensionless fin temperature distribution and dimensionless fin heat transfer rate are derived and offered for a two-dimensional orthotropic, pin fin structure with contact resistance at the fin base in a convective environment. Fin performance was evaluated based on the different forms of ratio of conductive resistance to convective resistance parameters Bir, Biz, Bic, thermal conductivity ratio K, and dimensionless length of fin contact space at the base δ. The detailed discussions on dimensionless parameters lead to the deterministic design and optimization of polymer composite fin structures under all types of convective situations in many real-time applications.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • M. A. Vadivelu
    • 1
    Email author
  • C. Ramesh Kumar
    • 1
  • M. M. Rashidi
    • 2
  1. 1.Automotive Research CenterVellore Institute of TechnologyVelloreIndia
  2. 2.Department of Civil EngineeringUniversity of BirminghamBirminghamUK

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