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

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Applied Mathematics and Scientific Computing

Part of the book series: Trends in Mathematics ((TM))

Abstract

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 Bi r, Bi z, Bi c, 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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Correspondence to M. A. Vadivelu .

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Vadivelu, M.A., Ramesh Kumar, C., Rashidi, M.M. (2019). Analytical Study on Heat Transfer Behavior of an Orthotropic Pin Fin with Contact Resistance. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_39

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